# Go Math Grade 4 Answer Key Homework Practice FL Chapter 4 Divide by 1-Digit Numbers

Detailed and Step-by-step explanation of Chapter 5 concepts is provided in this Go Math Grade 4 Answer Key Homework Practice FL Chapter 4 Divide by 1-Digit Numbers. Assure that you should practice with the help of Go math HMH grade 4 chapter 5 solution key and improve mathematical and logical skills. Learning & practicing the fundamentals of math chapter 5 concepts is very important to score more marks in the exams. So, download online Go Math Grade 4 Solution Key Homework Practice FL Chapter 4 Divide by 1-Digit Numbers pdf and overcome all the difficulties in math.

## Go Math Grade 4 Answer Key Homework Practice FL Chapter 4 Divide by 1-Digit Numbers

Consistent practice helps students to gain more knowledge and overcome their weak points. So, grab these Concept-wise Chapter 4 Go math Grade 4 Answer Key pdf and practice regularly for securing good scores in the exams. Some of the topics covered in Go Math Solution Key Grade 4 Homework Practice FL Chapter 4 Divide by 1-Digit Numbers are Estimate Quotients Using Multiples, Remainders, Divide Tens, Hundreds, and Thousands, etc. Solve the questions provided at the end of the page and test your subject knowledge.

Lesson: 1 – Estimate Quotients Using Multiples

Lesson: 2 – Remainders

Lesson: 3 – Interpret the Remainder

Lesson: 4 – Divide Tens, Hundreds, and Thousands

Lesson: 5 – Estimate Quotients Using Compatible Numbers

Lesson: 6 – Division and the Distributive Property

Lesson: 7 – Divide Using Repeated Subtraction

Lesson: 8 – Divide Using Partial Quotients

Lesson: 9 – Model Division with Regrouping

Lesson: 10 – Place the First Digit

Lesson: 11 – Divide by 1-Digit Numbers

Lesson: 12 – Problem Solving Multistep Division Problems

Lesson: 13

### Common Core – Divide by 1-Digit Numbers – Page No. 69

Estimate Quotients Using Multiples

Find two numbers the quotient is between. Then estimate the quotient.

Question 1.
175 ÷ 6
Think: 6 × 20 = 120 and 6 × 30 = 180. So, 175 ÷ 6 is between 20 and 30. Since 175 is closer to 180 than to 120, the quotient is about 30.
between 20 and 30

Question 2.
53 ÷ 3
between ____ and ____

Explanation:
17 × 3= 51 and 18 × 3 = 54. 53 is between 51 and 54. 53 ÷ 3 is closest to 17 and 18. So, 53 ÷ 3 is between 17 and 18. So, 53 ÷ 3 will be about 18.

Question 3.
75 ÷ 4
between ____ and ____

Explanation:
18 × 4= 72 and 19 × 4= 76. 75 is between 72 and 76. 75 ÷ 4 is closest to 18 and 19. So, 75÷ 4 is between 18 and 19. So, 75 ÷ 4 will be about 19.

Question 4.
215 ÷ 9
between ____ and ____

Explanation:
23 × 9= 207 and 24 × 9 = 216. 24 is between 207 and 216. 215 ÷ 9 is closest to 23 and 24. So, 215 ÷ 9 is between 23 and 24. So, 215 ÷ 9 will be about 24.

Question 5.
284 ÷ 5
between ____ and ____

Explanation:
56 × 5 = 280 and 57 × 5 = 285. 284 is between 280 and 285. 284 ÷ 5 is closest to 56 and 57. So, 284 ÷ 5 is between 56 and 57. So, 175 ÷ 6 will be about 57.

Question 6.
191 ÷ 3
between ____ and ____

Explanation:
63 × 3 = 189 and 64 × 3 = 192. 191 is between 189 and 192. 191 ÷ 3 is closest to 63 and 64. So, 191 ÷ 3 is between 63 and 64. So, 175 ÷ 6 will be about 64.

Question 7.
100 ÷ 7
between ____ and ____

Explanation:
14 × 7 = 98 and 15 × 7 = 105. 100 is between 98 and 105. 100 ÷ 7 is closest to 14 and 15.
So, 100 ÷ 7 is between 14 and 15. So, 100 ÷ 7 will be about 14.

Question 8.
438 ÷ 7
between ____ and ____

Explanation:
63 × 7 = 441 and 62 × 7 = 434. 438 is between 434 and 441. 438 ÷ 7 is closest to 62 and 63. So, 438 ÷ 7 is between 62 and 63. So, 438 ÷ 7 will be about 63.

Question 9.
103 ÷ 8
between ____ and ____

Explanation:
13 × 8 = 104 and 12 ×8 = 96. 103 is between 96 and 104. 103 ÷ 8 is closest to 12 and 13. So, 103 ÷ 8 is between 12 and 13. So, 103 ÷ 8 will be about 13.

Question 10.
255 ÷ 9
between ____ and ____

Explanation:
28 × 9 = 252 and 29 × 9 = 261. 255 is between 252 and 261. 255 ÷ 9 is closest to 28 and 29.
So, 255 ÷ 9 is between 28 and 29. So, 255 ÷ 9 will be about 28.

Problem Solving

Question 11
Joy collected 287 aluminum cans in 6 hours. About how many cans did she collect per hour?

Explanation:
47 × 6 = 282 and 48 × 6 = 288. 287 is between 282 and 288. 287 ÷ 6 is closest to 47 and 48. So, 287 ÷ 6 is between 47 and 48. So, 287 ÷6 will be about 48.

Question 12.
Paul sold 162 cups of lemonade in 5 hours. About how many cups of lemonade did he sell each hour?

Explanation:
32 × 5 = 160 and 33 × 5 = 165. 162 is between 160 and 165. 162 ÷ 5 is closest to 32 and 33. So, 162 ÷ 5 is between 32 and 33. So, 162 ÷ 5 will be about 32.

### Common Core – Divide by 1-Digit Numbers – Page No. 70

Lesson Check

Question 1.
Abby did 121 sit-ups in 8 minutes. Which is the best estimate of the number of sit-ups she did in 1 minute?
Options:

Explanation:
15 × 8 = 120 and 16 × 8 = 128. 121 is between 120 and 128. 121 ÷ 8 is closest to 120 and 128. So, 121 ÷ 8 is between 15 and 16.
So, 121 ÷ 8 will be about 15.
Thus the correct answer is option b.

Question 2.
The Garibaldi family drove 400 miles in 7 hours. Which is the best estimate of the number of miles they drove in 1 hour?
Options:

Explanation:
Given,
The Garibaldi family drove 400 miles in 7 hours.
57 × 7 = 399 and 58 × 7 = 406.
400 is between 399 and 406. 400 ÷ 7 is closest to 57 and 58.
So, 400 ÷ 7 is between 57 and 58.
So, 400 ÷ 7 will be about 57.
Thus the correct answer is option c.

Spiral Review

Question 3.
Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys?
Options:
a. 8
b. 12
c. 14
d. 18

Explanation:
Given that,
Twelve boys collected 16 aluminum cans each.
Fifteen girls collected 14 aluminum cans each.
Number of aluminium cans boys had= 12 × 16=192
Number of aluminium cans girls had = 15 × 14=210
Girls collected more cans compared to boys,
Number of more cans collected by girls= 210 – 192=18
Thus the correct answer is option d.

Question 4.
George bought 30 packs of football cards. There were 14 cards in each pack. How many cards did George buy?
Options:
a. 170
b. 320
c. 420
d. 520

Explanation:
Given,
George bought 30 packs of football cards.
There were 14 cards in each pack.
Number of packs of football cards= 30
Number of cards in each pack= 14
Total number of cards George bought=30×14=420
Thus the correct answer is option c.

Question 5.
Sarah made a necklace using 5 times as many blue beads as white beads. She used a total of 30 beads. How many blue beads did Sarah use?
Options:
a. 5
b. 6
c. 24
d. 25

Explanation:
Given,
She used a total of 30 beads.
Let the number of white beads be x while the number of blue beads are 5x.
According to the problem,
5x+x=30
6x=30
x=30/6=5
Therefore the number of blue beads in the necklace are 5x= 5×5=25
Thus the correct answer is option d.

Question 6.
This year, Ms. Webster flew 145,000 miles on business. Last year, she flew 83,125 miles on business. How many more miles did Ms. Webster fly on business this year?
Options:
a. 61,125 miles
b. 61,875 miles
c. 61,985 miles
d. 62,125 miles

Explanation:
Given,
This year, Ms. Webster flew 145,000 miles on business.
Last year, she flew 83,125 miles on business.
Number of miles Ms Webster flew in this year = 145,000 miles
Number of miles Ms Webster flew in the last year = 83,125 miles
Number of more miles travelled by Ms Webster =145,000 – 83,125 = 61,875
Thus the correct answer is option b.

### Common Core – Divide by 1-Digit Numbers – Page No. 71

Remainders

Use counters to find the quotient and remainder.

Question 1.
13 ÷ 4
3 r1

Explanation:
Quotient:
A. Use 13 counters to represent the 13 dominoes. Then draw 4 circles to represent the divisor.
B. Share the counters equally among the 4 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 13 ÷ 4
D. Number of circles are equally filled with 4 counters, therefore, the quotient is 3.
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 1
For 13 ÷ 4, the quotient is 3 and the remainder is 1, or 3 r1.

Question 2.
24 ÷ 7
_____ R _____

Explanation:
Quotient:
A. Use 24 counters to represent the 24 dominoes. Then draw 7 circles to represent the divisor.
B. Share the counters equally among the 7 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 24 ÷ 7
D. Number of circles are equally filled with 3 counters, therefore, the quotient is 3
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 3
For 24 ÷ 7, the quotient is 3 and the remainder is 3, or 3 r3.

Question 3.
39 ÷ 5
_____ R _____

Explanation:
Quotient:
A. Use 39 counters to represent the 39dominoes. Then draw 5 circles to represent the divisor.
B. Share the counters equally among the 5 groups by placing them in the circles.
C. Number of counters formed in each group = quotient 39 ÷ 5
D. Number of circles are equally filled with 7 counters, therefore, the quotient is 7
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 4
For 39 ÷ 5, the quotient is 7 and the remainder is 4, or 7 r4.

Question 4.
36 ÷ 8
_____ R _____

Explanation:
Quotient:
A. Use 36 counters to represent the 36 dominoes. Then draw 8 circles to represent the divisor.
B. Share the counters equally among the 8 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 36 ÷ 8
D. Number of circles are equally filled with 4 counters, therefore, the quotient is 4
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 4
For 36 ÷ 8, the quotient is 4 and the remainder is 4, or 4 r4.

Question 5.
6)$$\overline { 27 }$$
_____ R _____

Explanation:
Quotient:
A. Use 27 counters to represent the 27 dominoes. Then draw 6 circles to represent the divisor.
B. Share the counters equally among the 6 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 27 ÷6
D. Number of circles are equally filled with 4 counters, therefore, the quotient is 4
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 3
For 27 ÷ 6, the quotient is 4 and the remainder is 3, or 4 r3.

Question 6.
25 ÷ 9
_____ R _____

Explanation:
Quotient:
A. Use 25 counters to represent the 25 dominoes. Then draw 9 circles to represent the divisor.
B. Share the counters equally among the 9 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 25 ÷ 9
D. Number of circles are equally filled with 2 counters, therefore, the quotient is 2
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 7
For 25 ÷ 7, the quotient is 2 and the remainder is 7, or 2 r7.

Question 7.
3)$$\overline { 17 }$$
_____ R _____

Explanation:
Quotient:
A. Use 17 counters to represent the 17 dominoes. Then draw 3 circles to represent the divisor.
B. Share the counters equally among the 3 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 17 ÷ 3
D. Number of circles are equally filled with 5 counters, therefore, the quotient is 5
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 2
For 17 ÷ 3, the quotient is 5 and the remainder is 2, or 5 r2.

Question 8.
26 ÷ 4
_____ R _____

Explanation:
Quotient:
A. Use 26 counters to represent the 26 dominoes. Then draw 4 circles to represent the divisor.
B. Share the counters equally among the 4 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 26 ÷ 4
D. Number of circles are equally filled with 6 counters, therefore, the quotient is 6
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 2
For 26 ÷ 4, the quotient is 6 and the remainder is 2, or 6 r2.

Divide. Draw a quick picture to help.

Question 9.
14 ÷ 3
_____ R _____

Explanation:
Quotient:
A. Use 14 counters to represent the 14 dominoes. Then draw 3 circles to represent the divisor.
B. Share the counters equally among the 3 groups by placing them in the circles.
C. Number of circles filled= quotient of 14 ÷ 3 = 4
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 2

Question 10.
5)$$\overline { 29 }$$
_____ R _____

Explanation:
Quotient:
A. Use 29 counters to represent the 29 dominoes. Then draw 5 circles to represent the divisor.
B. Share the counters equally among the 5 groups by placing them in the circles.
C. Number of circles filled= quotient of 29 ÷ 5 = 5
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 4

Problem Solving

Question 11.
What is the quotient and remainder in the division problem modeled below?

_____ R _____

Explanation:
Quotient:
A. Use 20 counters to represent the 20 dominoes. Then draw 3 circles to represent the divisor.
B. Share the counters equally among the 3 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 20 ÷ 3
D. Number of circles are equally filled with 6 counters, therefore, the quotient is 6
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 2
For 20 ÷ 3, the quotient is 6 and the remainder is 2, or 6 r2.

Question 12.
Mark drew the following model and said it represented the problem 21 ÷ 4. Is Mark’s model correct? If so, what is the quotient and remainder? If not, what is the correct quotient and remainder?

_____ : _____ r _____

Explanation:
Quotient:
A. Use 21 counters to represent the 21 dominoes. Then draw 4 circles to represent the divisor.
B. Share the counters equally among the 4 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 21 ÷ 4
D. Number of circles are equally filled with 4 counters, therefore, the quotient is 4
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 5
For 21 ÷ 4, the quotient is 4 and the remainder is 5, or 4 r5.

### Common Core – Divide by 1-Digit Numbers – Page No. 72

Lesson Check

Question 1.
What is the quotient and remainder for 32 ÷ 6?
Options:
a. 4 r3
b. 5 r1
c. 5 r2
d. 6 r1

Explanation:
Quotient:
A. Use 32 counters to represent the 32 dominoes. Then draw 6 circles to represent the divisor.
B. Share the counters equally among the 5 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 32 ÷ 6
D. Number of circles are equally filled with 5 counters, therefore, the quotient is 5
Remainder:
The number of counters left over is the remainder. The number of counters leftover= 2
For 32 ÷ 6, the quotient is 5 and the remainder is 2, or 5 r2.
Thus the correct answer is option c.

Question 2.
What is the remainder in the division problem modeled below?

Options:
a. 8
b. 4
c. 3
d. 1

Explanation:
When a number cannot be divided evenly, the amount left over is called the remainder.
The number of counters that are left = remainder = 3
Thus the correct answer is option c.

Spiral Review

Question 3.
Each kit to build a castle contains 235 parts. How many parts are in 4 of the kits?
Options:
a. 1,020
b. 940
c. 920
d. 840

Explanation:
Number of parts used to build a castle in each kit=235 parts
Number of kits= 4
Total number of parts in 4 of the kits= 235 x 4=940 parts

Thus the correct answer is option b.

Question 4.
In 2010, the population of Alaska was about 710,200. What is this number written in word form?
Options:
a. seven hundred ten thousand, two
b. seven hundred twelve thousand
c. seventy-one thousand, two
d. seven hundred ten thousand, two hundred

Answer: seven hundred ten thousand, two hundred

Explanation:
The ones and tens place of the number are zeroes, so the next place which is hundreds is considered and the value is 7 so, it can be written as seven hundred and in the thousands period, it can be written as seven hundred ten thousand.
Thus the correct answer is option d.

Question 5.
At the theater, one section of seats has 8 rows with 12 seats in each row. In the center of the first 3 rows are 4 broken seats that cannot be used. How many seats can be used in the section?
Options:
a. 84
b. 88
c. 92
d. 96

Explanation:
Given,
Number of rows at the theatre = 8
Number of seats in each row= 12
Number of seats broken and that cannot be used to sit= 4
Total number of seats that can be used= 12 × 8 – 4 = 96 – 4 = 92
Thus the correct answer is option c.

Question 6.
What partial products are shown by the model below?

Options:
a. 300, 24
b. 300, 600, 40, 60
c. 300, 60, 40, 24
d. 300, 180, 40, 24

Explanation:
The whole rectangle is divided into four small rectangles the areas of these rectangles are:

Area of yellow rectangle= 30 x 10=300
Area of green rectangle= 4 x 10 = 40
Area of pink rectangle= 6 x 30= 180
Area of blue rectangle= 4 x 6= 24
Thus the correct answer is option d.

### Common Core – Divide by 1-Digit Numbers – Page No. 73

Interpret the Remainder

Interpret the remainder to solve.

Question 1.
Hakeem has 100 tomato plants. He wants to plant them in rows of 8. How many full rows will he have?
Think: 100 ÷ 8 is 12 with a remainder of 4. The question asks “how many full rows,” so use only the quotient.
12 full rows

Explanation:
Quotient:
A. Use 100 counters to represent the 100 dominoes. Then draw 8 circles to represent the divisor.
B. Share the counters equally among the 8 groups by placing them in the circles.
C. Number of counters formed in each group = quotient of 100 ÷ 8
D. Number of circles are equally filled with 12 counters, therefore, the quotient is 12
Therefore, the tomatoes placed in full rows are 12

Question 2.
A teacher has 27 students in her class. She asks the students to form as many groups of 4 as possible. How many students will not be in a group?
______ students

Answer: 3 students will not be in the group

Explanation:
Total number of students in the class= 27
Number of students who make a group=4
Number of groups that can be made =Quotient of 27÷ 4=6
Number of students who do not come under a group= Remainder of 27÷ 4=3

Question 3.
A sporting goods company can ship 6 footballs in each carton. How many cartons are needed to ship 75 footballs?
______ cartons

Answer: 12 full cartons and 0.5 or 1/2 carton to ship all the 75 footballs

Explanation:
Total number of footballs that should be shipped= 75
Number of footballs placed in each carton = 6
Number of cartons required=Quotient of 75÷ 6=12

Since each carton carries 6 balls, half carton contains 3 balls because 6÷3=2, therefore, each half of the carton contains 3 balls.

Question 4.
A carpenter has a board that is 10 feet long. He wants to make 6 table legs that are all the same length. What is the longest each leg can be?
______ foot

Answer: The length of the longest leg = 4 foot-long

Explanation:
According to the question,
Length of the board the carpenter has= 10 foot long
Number of table legs that are to be made = 6
Length of the 6 table legs are equal
then,
Length of each table leg = Quotient of 10 ÷ 6 =1 foot
Length of the longest table leg = Remainder of 10 ÷ 6 = 4 foot.

Question 5.
Allie wants to arrange her flower garden in 8 equal rows. She buys 60 plants. What is the greatest number of plants she can put in each row?
______ plants

Explanation:
Total number of plants Allie bought = 60
Number of rows = 8
Number of plants in each row= Quotient of 60 ÷ 8 = 7
Thus the greatest number of plants she can put in a row is 7.

Problem Solving

Question 6.
Joanna has 70 beads. She uses 8 beads for each bracelet. She makes as many bracelets as possible. How many beads will Joanna have left over?

Explanation:
Number of bracelets made with these beads= Quotient of 70÷8= 7 bracelets
then,

Question 7.
A teacher wants to give 3 markers to each of her 25 students. Markers come in packages of 8. How many packages of markers will the teacher need?
______ packages

Explanation:
Total number of students= 25
Number of markers each student got= 3
Total number of markers the teacher needs to distribute= 25 x 3= 75
Number of markers in each package= 8
Number of packages the teacher required= Quotient of 75÷8=9
While the remainder = 3
Therefore the total number of packages = 10

### Common Core – Divide by 1-Digit Numbers – Page No. 74

Lesson Check

Question 1.
Marcus sorts his 85 baseball cards into stacks of 9 cards each. How many stacks of 9 cards can Marcus make?
Options:
a. 4
b. 8
c. 9
d. 10

Explanation:
Total number of baseball cards=85
Number of cards in each stack=9
Number of stacks sorted= Quotient of 85÷9=9
While the remainder=4
So the total number of stacks required= 10
Thus the correct answer is option d.

Question 2.
A minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?
Options:
a. 3
b. 5
c. 6
d. 7

Explanation:
A minivan can hold up to 7 people.
Total number of people who want to hire the minivan= 45 people
Number of minivans required= Quotient of 45÷7= 6 vans
While the remainder is 3.
Total number of minivans required to take the people to the baseball game= 7 minivans
Thus the correct answer is option d.

Spiral Review

Question 3.
Mrs. Wilkerson cut some oranges into 20 equal pieces to be shared by 6 friends. How many pieces did each person get and how many pieces were left over?
Options:
a. 2 pieces with 4 pieces left over
b. 3 pieces with 2 pieces left over
c. 3 pieces with 4 pieces left over
d. 4 pieces with 2 pieces left over

Answer: 3 pieces with 2 pieces left over

Explanation:
Total number of orange pieces= 20
Number of friends= 6
Number of pieces each friend got= Quotient of 20÷6= 3 pieces
Number of pieces leftover= Remainder of 20÷6= 2 pieces
Thus the correct answer is option b.

Question 4.
A school bought 32 new desks. Each desk cost $24. Which is the best estimate of how much the school spent on the new desks? Options: a.$500
b. $750 c.$1,000
d. $1,200 Answer:$750

Explanation:
Total number of desks= 32
Cost of each desk= $24 Total cost spent on the desks= 32 x 24=$768

So the estimated value can be $768. Thus the correct answer is option b. Question 5. Kris has a box of 8 crayons. Sylvia’s box has 6 times as many crayons as Kris’s box. How many crayons are in Sylvia’s box? Options: a. 48 b. 42 c. 36 d. 4 Answer: 48 Explanation: Number of crayons in Kris box=8 Number of crayons in Sylvia’s box= 6 times as many crayons as Kris’s box= 6 x 8=48 Thus the correct answer is option a. Question 6. Yesterday, 1,743 people visited the fair. Today, there are 576 more people at the fair than yesterday. How many people are at the fair today? Options: a. 1,167 b. 2,219 c. 2,319 d. 2,367 Answer: 2,319 Explanation: Number of people in the fair yesterday= 1,743 Number of more people at the fair than yesterday= 576 Total number of people in the fair today=2,319 Thus the correct answer is option c. ### Common Core – Divide by 1-Digit Numbers – Page No. 75 Divide Tens, Hundreds, and Thousands Use basic facts and place value to find the quotient. Question 1. 3,600 ÷ 4 = 900 Think: 3,600 is 36 hundreds. Use the basic fact 36 ÷ 4 = 9. So, 36 hundreds ÷ 4 = 9 hundreds, or 900. Question 2. 240 ÷ 6 = ______ Answer: 40 Explanation: STEP 1 Identify the basic fact. 24 ÷ 6 STEP 2 Use place value. 240 = 24 tens STEP 3 Divide. 24 tens ÷ 6 = 4 tens 240 ÷ 6 = 40 Question 3. 5,400 ÷ 9 = ______ Answer: 600 Explanation: STEP 1 Identify the basic fact. 54 ÷ 9 STEP 2 Use place value. 5,400 = 54 hundreds STEP 3 Divide. 54 hundreds ÷ 9 = 6 hundreds 5,400 ÷ 9 = 600 Question 4. 300 ÷ 5 = ______ Answer: 60 Explanation: STEP 1 Identify the basic fact. 30 ÷ 5 STEP 2 Use place value. 300 = 30 tens STEP 3 Divide. 30 tens ÷ 5 = 60 tens 300 ÷ 5 = 60 Question 5. 4,800 ÷ 6 = ______ Answer: 800 Explanation: STEP 1 Identify the basic fact. 48 ÷ 6 STEP 2 Use place value. 4,800 = 48 hundreds STEP 3 Divide. 48 hundreds ÷ 6 = 80 hundreds 4,800 ÷ 6 = 800 Question 6. 420 ÷ 7 = ______ Answer: 60 Explanation: STEP 1 Identify the basic fact. 42 ÷ 7 STEP 2 Use place value. 420 = 42 tens STEP 3 Divide. 42 tens ÷ 7 = 60 tens 420 ÷ 7 = 60 Question 7. 150 ÷ 3 = ______ Answer: 50 Explanation: STEP 1 Identify the basic fact. 15 ÷ 3 STEP 2 Use place value. 150 = 15 tens STEP 3 Divide. 15 tens ÷ 3 = 5 tens 150 ÷ 3 = 50 Question 8. 6,300 ÷ 7 = ______ Answer: 900 Explanation: STEP 1 Identify the basic fact. 63 ÷ 7 STEP 2 Use place value. 6,300 = 63 hundreds STEP 3 Divide. 63 hundreds ÷ 7 = 9 hundreds 6,300 ÷ 7 = 900 Question 9. 1,200 ÷ 4 = ______ Answer: 300 Explanation: STEP 1 Identify the basic fact. 12 ÷ 4 STEP 2 Use place value. 1,200 = 12 hundreds STEP 3 Divide. 12 hundreds ÷ 4 = 3 hundreds 1,200 ÷ 4 = 300 Question 10. 360 ÷ 6 = ______ Answer: 60 Explanation: STEP 1 Identify the basic fact. 36 ÷ 6 STEP 2 Use place value. 360 = 36 tens STEP 3 Divide. 36 tens ÷ 6 = 6 tens 360 ÷ 6 = 60 Find the quotient. Question 11. 28 ÷ 4 = ______ 280 ÷ 4 = ______ 2,800 ÷ 4 = ______ Answer: 7, 70, 700 Explanation: Quotient: A. Use 28 counters to represent the 28 dominoes. Then draw 4 circles to represent the divisor. B. Share the counters equally among the 4 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 28 ÷ 4 D. Number of circles are equally filled with 7 counters, therefore, the quotient is 7 STEP 1 Identify the basic fact. 28 ÷ 4 STEP 2 Use place value. 280 = 28 tens STEP 3 Divide. 28 tens ÷ 4 = 7 tens 280 ÷ 4 = 70 STEP 1 Identify the basic fact. 28 ÷ 4 STEP 2 Use place value. 2,800 = 28 hundreds STEP 3 Divide. 28 hundreds ÷ 4 = 7 hundreds 2,800 ÷ 4 = 700 Question 12. 18 ÷ 3 = ______ 180 ÷ 3 = ______ 1,800 ÷ 3 = ______ Answer: 6, 60, 600 Explanation: Quotient: A. Use 18 counters to represent the 18 dominoes. Then draw 3 circles to represent the divisor. B. Share the counters equally among the 3 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 18 ÷ 3 D. Number of circles are equally filled with 6 counters, therefore, the quotient is 6 STEP 1 Identify the basic fact. 18 ÷ 3 STEP 2 Use place value. 180 = 18 tens STEP 3 Divide. 18 tens ÷ 3 = 6 tens 180 ÷ 6 = 60 STEP 1 Identify the basic fact. 18 ÷ 3 STEP 2 Use place value. 1,800 = 18 hundreds STEP 3 Divide. 18 hundreds ÷ 3 = 6 hundreds 1,800 ÷ 3 = 600 Question 13. 45 ÷ 9 = ______ 450 ÷ 9 = ______ 4,500 ÷ 9 = ______ Answer: 5, 50, 500 Explanation: Quotient: A. Use 45 counters to represent the 45 dominoes. Then draw 9 circles to represent the divisor. B. Share the counters equally among the 9 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 45 ÷ 9 D. Number of circles are equally filled with 5 counters, therefore, the quotient is 5 STEP 1 Identify the basic fact. 45 ÷ 9 STEP 2 Use place value. 450 = 45 tens STEP 3 Divide. 45 tens ÷ 9 = 5 tens 450 ÷ 9 = 50 STEP 1 Identify the basic fact. 45 ÷ 9 STEP 2 Use place value. 4,500 = 45 hundreds STEP 3 Divide. 45 hundred ÷ 9 = 5 hundred 4,500 ÷ 9 = 500 Problem Solving Question 14. At an assembly, 180 students sit in 9 equal rows. How many students sit in each row? ______ students Answer: 20 Explanation: Total number of students= 180 Number of rows= 9 Number of students in each row= 180 ÷ 9 = 20 Question 15. Hilary can read 560 words in 7 minutes. How many words can Hilary read in 1 minute? ______ words Answer: 80 Explanation: Total number of words Hilary can read in 7 minutes = 560 Number of words Hilary can read in 1 minute= 560 ÷ 7= 80 Therefore Hilary can read 80 words in 1 minute. Question 16. A company produces 7,200 gallons of bottled water each day. The company puts 8 one-gallon bottles in each carton. How many cartons are needed to hold all the one-gallon bottles produced in one day? ______ cartons Answer: 900 Explanation: Total number of gallons bottled in each day= 7,200 Number of gallons bottled in each carton= 8 Number of cartons used= 7,200 ÷ 8= 900 Question 17. An airplane flew 2,400 miles in 4 hours. If the plane flew the same number of miles each hour, how many miles did it fly in 1 hour? ______ miles Answer: 600 Explanation: Total number of miles flew in 4 hours= 2,400 Number of miles flew in 1 hour= 2,400 ÷ 4 = 600 ### Common Core – Divide by 1-Digit Numbers – Page No. 76 Lesson Check Question 1. A baseball player hits a ball 360 feet to the outfield. It takes the ball 4 seconds to travel this distance. How many feet does the ball travel in 1 second? Options: a. 9 feet b. 40 feet c. 90 feet d. 900 feet Answer: 90 feet Explanation: The height to which the player hits a ball=360 feet Height to which the ball travels in 1 second= 360÷4= 90 feet The correct answer is option c. Question 2. Sebastian rides his bike 2,000 meters in 5 minutes. How many meters does he bike in 1 minute? Options: a. 4 meters b. 40 meters c. 50 meters d. 400 meters Answer: 400 meters Explanation: Total number of meters travelled in 5 minutes= 2,000 Number of meters travelled in 1 minute= 2,000÷5= 400 The correct answer is option d. Spiral Review Question 3. A full container of juice holds 64 ounces. How many 7-ounce servings of juice are in a full container? Options: a. 1 b. 8 c. 9 d. 10 Answer: 9 Explanation: A full container of juice holds= 63 ounces Quantity of servings of juice in one glass=7 ounce The number of servings of the juice are= 63÷7=9 The correct answer is option c. Question 4. Paolo pays$244 for 5 identical calculators. Which is the best estimate of how much Paolo pays for one calculator?
Options:
a. $40 b.$50
c. $60 d.$245

Answer: $50 Explanation: Amount Paolo pays for the identical calculators =$244
Number of identical calculators=5
The best-estimated value of each identical calculator=$244 ÷ 5is approximately$50.
The correct answer is option b.

Question 5.
A football team paid $28 per jersey. They bought 16 jerseys. How much money did the team spend on jerseys? Options: a.$44
b. $196 c.$408
d. $448 Answer:$448

Explanation:
Cost of each jersey=$28 Number of jerseys= 16 Total cost of the jerseys=$28 x 16= $448 The correct answer is option d. Question 6. Suzanne bought 50 apples at the apple orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Suzanne buy? Options: a. 10 b. 25 c. 30 d. 40 Answer: 40 Explanation: Let the number of green apples be x and the number of red apples be 4x 4x + x = 50 x = 50 ÷ 5= 10 Number of red balls = 4x = 4 x 10 = 40 The correct answer is option d. ### Common Core – Divide by 1-Digit Numbers – Page No. 77 Estimate Quotients Using Compatible Numbers Use compatible numbers to estimate the quotient. Question 1. 389 ÷ 4 400 ÷ 4 = 100 Question 2. 358 ÷ 3 _____ ÷ 3 = _____ Answer: 120 Explanation: What number close to358 is easy to divide by 3? 360 is close to 358. What basic fact can you use? 360 ÷ 3 Choose 360 because it is close to 358 and can easily be divided by 3. 36 ÷3 = 12 360 ÷ 3 =120 358 ÷ 3 is about 120 Question 3. 784 ÷ 8 _____ ÷ 8 = _____ Answer: 100 Explanation: What number close to 784 is easy to divide by 8? 800 is close to 784. What basic fact can you use? 800 ÷ 8 Choose 800 because it is close to 784 and can easily be divided by 8. 80 ÷ 8 = 10 800 ÷ 8 = 100 784 ÷ 8 is about 100. Question 4. 179 ÷ 9 _____ ÷ 9 = _____ Answer: 20 Explanation: What number close to 179 is easy to divide by 9? 180 is close to 179. What basic fact can you use? 180 ÷ 9 Choose 180 because it is close to 179 and can easily be divided by 9. 18 ÷ 9 = 2 180 ÷ 9 = 20 179 ÷ 9 is about 20 Question 5. 315 ÷ 8 _____ ÷ 8 = _____ Answer: 40 Explanation: What number close to 315 is easy to divide by 8? 320 is close to 315. What basic fact can you use? 320 ÷ 8 Choose 320 because it is close to 315 and can easily be divided by 8. 32 ÷ 8 = 4 320 ÷ 8 =40 315 ÷ 8 is about 40. Question 6. 2,116 ÷ 7 _____ ÷ 7 = _____ Answer: 300 Explanation: What number close to 2,116 is easy to divide by 7? 2,100 is close to 2,116. What basic fact can you use? 2,100 ÷ 7 Choose 2,100 because it is close to 2,116 and can easily be divided by 7. 21 ÷ 7= 3 2,100 ÷ 7 = 300 2,116 ÷ 7 is about 300 Question 7. 4,156 ÷ 7 _____ ÷ 7 = _____ Answer: 600 Explanation: What number close to 4,156 is easy to divide by 7? 4,200 is close to 4,156. What basic fact can you use? 4,200 ÷7 Choose 4,200 because it is close to 4,156 and can easily be divided by 7. 42 ÷ 7 = 6 4,200 ÷ 7 = 600 4,156 ÷ 7 is about 600. Question 8. 474 ÷ 9 _____ ÷ 9 = _____ Answer: 50 Explanation: What number close to 474 is easy to divide by 9? 450 is close to 474. What basic fact can you use? 450 ÷ 9 Choose 450 because it is close to 474 and can easily be divided by 9. 45 ÷ 9 = 5 450 ÷ 9 = 50 474 ÷ 9 is about 50. Use compatible numbers to find two estimates that the quotient is between. Question 9. 1,624 ÷ 3 _____ ÷ 3 = _____ _____ ÷ 3 = _____ Answer: The quotient is between 500 and 600 Explanation: What number close to 1,624 is easy to divide by 3? 1,500 is close to 1,624. What basic fact can you use? 1,500 ÷ 3 Choose 1,500 because it is close to 1,624 and can easily be divided by 3. 15 ÷ 3 = 5 1,500 ÷ 3 = 500 1,624 ÷ 3 is about 500 What number close to 1,624 is easy to divide by 3? 1,800 is close to 1,624. What basic fact can you use? 1,800 ÷ 3 Choose 1,800 because it is close to 1,624 and can easily be divided by 3. 18 ÷ 3 = 6 1,800 ÷ 3 = 600 1,624 ÷ 3 is about 600 Question 10. 2,593 ÷ 6 _____ ÷ 6 = _____ _____ ÷ 6 = _____ Answer: The quotient is between 400 and 500 Explanation: What number close to 2,593 is easy to divide by 6? 2,400 is close to 2,593. What basic fact can you use? 2,400 ÷ 6 Choose 2,400 because it is close to 2,593 and can easily be divided by 6. 24 ÷ 6 = 4 2,400 ÷ 6 = 400 2,593 ÷ 6 is about 400 What number close to 2,593 is easy to divide by 6? 3,000 is close to 2,593. What basic fact can you use? 3000 ÷ 6 Choose 3,000 because it is close to 2,593 and can easily be divided by 6. 30 ÷ 6 = 5 3,000 ÷ 6 = 500 2,593 ÷ 6 is about 500 Question 11. 1,045 ÷ 2 _____ ÷ 2 = _____ _____ ÷ 2 = _____ Answer: The quotient is between 520 and 525 Explanation: What number close to 1,045 is easy to divide by 2? 1,040 is close to 1,045. What basic fact can you use? 1,040 ÷ 2 Choose 1,040 because it is close to 1,045 and can easily be divided by 2. 1,04 ÷ 2 = 52 1,040 ÷ 2 = 520 1,045 ÷ 2 is about 520 What number close to 1,045 is easy to divide by 2? 1,050 is close to 1,045. What basic fact can you use? 1,050 ÷ 2 Choose 1,050 because it is close to 1,045 and can easily be divided by 2. 1,050 ÷ 2 = 525 1,045 ÷ 2 is about 525 Question 12. 1,754 ÷ 9 _____ ÷ 9 = _____ _____ ÷ 9 = _____ Answer: The quotient is between 195 and 200 Explanation: What number close to 1,754 is easy to divide by 9? 1,755 is close to 1,754. What basic fact can you use? 1,755 ÷ 9 Choose 1,755 because it is close to 1,754 and can easily be divided by 9. 1,755 ÷ 9 = 195 1,754 ÷ 9 is about 195 What number close to 1,754 is easy to divide by 9? 1,800 is close to 1,754. What basic fact can you use? 1,800 ÷ 9 Choose 1,800 because it is close to 1,754 and can easily be divided by 9. 18 ÷ 9 = 2 1,800 ÷ 9 = 200 1,754 ÷ 9 is about 200 Question 13. 2,363 ÷ 8 _____ ÷ 8 = _____ _____ ÷ 8 = _____ Answer: The quotient is between 295 and 300 Explanation: What number close to 2,363 is easy to divide by 8? 2,360 is close to 2,363. What basic fact can you use? 2,360 ÷ 8 Choose 2,360 because it is close to 2,363 and can easily be divided by 8. 2,360 ÷ 8 = 295 2,363 ÷ 8 is about 295 What number close to 2,363 is easy to divide by 8? 2,400 is close to 2,363. What basic fact can you use? 2,400 ÷ 8 Choose 2,400 because it is close to 2,363 and can easily be divided by 8. 24 ÷ 8 = 3 2,400 ÷ 8= 300 2,363 ÷ 8 is about 300. Question 14. 1,649 ÷ 5 _____ ÷ 5 = _____ _____ ÷ 5 = _____ Answer: The quotient is between 329 and 330 Explanation: What number close to 1,649 is easy to divide by 5? 1,645 is close to 1,649. What basic fact can you use? 1,645 ÷ 5 Choose 1,645 because it is close to 1,649 and can easily be divided by 5. 1,645 ÷ 5 = 329 1,649 ÷ 5 is about 329 What number close to 1,650 is easy to divide by 5? 1,650 is close to 1,649. What basic fact can you use? 1,650 ÷ 5 Choose 1,650 because it is close to 1,649 and can easily be divided by 5. 1,650 ÷ 5 = 330 1,649 ÷ 5 is about 330 Question 15. 5,535 ÷ 7 _____ ÷ 7 = _____ _____ ÷ 7 = _____ Answer: The quotient is between 790 and 791 Explanation: What number close to 5,535 is easy to divide by 7? 5,530 is close to 5,535. What basic fact can you use? 5,530 ÷ 7 Choose 5,530 because it is close to 5,535 and can easily be divided by 7. 553 ÷ 7 = 79 5,530 ÷ 7 = 790 5,535 ÷ 7 is about 790 What number close to 5,535 is easy to divide by 7? 5,537 is close to 5,535. What basic fact can you use? 5,537 ÷ 7 Choose 5,537 because it is close to 5,535 and can easily be divided by 7. 553 ÷ 7 = 79 5,537 ÷ 7 = 791 5,535 ÷ 7 is about 791 Question 16. 3,640 ÷ 6 _____ ÷ 6 = _____ _____ ÷ 6 = _____ Answer: The quotient is between 606 and 607 Explanation: What number close to 3,640 is easy to divide by 6? 3,636 is close to 3,640. What basic fact can you use? 3,636 ÷ 6 Choose 3,636 because it is close to 3,640 and can easily be divided by 6. 36 ÷ 6 = 6 3,636 ÷ 6 = 606 3,640 ÷ 6 is about 606 What number close to 3,640 is easy to divide by 6? 3,642 is close to 3,640. What basic fact can you use? 3,642 ÷ 6 Choose 3,642 because it is close to 3,640 and can easily be divided by 6. 3,642 ÷ 6 = 607 3,640 ÷ 6 is about 607 Problem Solving Question 17. A CD store sold 3,467 CDs in 7 days. About the same number of CDs were sold each day. About how many CDs did the store sell each day? about _____ CDs Answer: 495(approx) Explanation: Total number of CDs in the store= 3,467 Number of days= 7 Number of CDs sold on one day= 3,467 ÷ 7=495(approx) Question 18. Marcus has 731 books. He puts about the same number of books on each of 9 shelves in his a bookcase. About how many books are on each shelf? about _____ books Answer: 81 books(approx) Explanation: Total number of books Marcus has= 731 Number of shelves= 9 Number of books on each shelf= 731÷9= 81 (approx) ### Common Core – Divide by 1-Digit Numbers – Page No. 78 Lesson Check Question 1. Jamal is planting seeds for a garden nursery. He plants 9 seeds in each container. If Jamal has 296 seeds to plant, about how many containers will he use? Options: a. about 20 b. about 30 c. about 200 d. about 300 Answer: about 30 Explanation: Total number of seeds Jamal has= 296 Number of seeds placed in each container= 9 Number of containers Jamal used= 296÷9= 32.8=33 (approx) Therefore, the number of containers used is about 30 The correct answer is option b. Question 2. Winona purchased a set of vintage beads. There are 2,140 beads in the set. If she uses the beads to make bracelets that have 7 beads each, about how many bracelets can she make? Options: a. about 30 b. about 140 c. about 300 d. about 14,000 Answer: about 300 Explanation: Total number of beads Winona has= 2,140 Number of beads in each bracelet= 7 Number of bracelets made= 2,140÷7=305.7=306(approx) Therefore, the number of bracelets made are about 30 The correct answer is option c. Spiral Review Question 3. A train traveled 360 miles in 6 hours. How many miles per hour did the train travel? Options: a. 60 miles per hour b. 66 miles per hour c. 70 miles per hour d. 600 miles per hour Answer: 60 miles per hour Explanation: Total number of miles traveled by train= 360 Time taken by the train to cover 360 miles= 6 hours Number of miles traveled in each hour= 360÷6=60 miles The correct answer is option a. Question 4. An orchard has 12 rows of pear trees. Each row has 15 pear trees. How many pear trees are there in the orchard? Options: a. 170 b. 180 c. 185 d. 190 Answer: 180 Explanation: Number of rows of pear trees in an orchard= 12 Number of pear trees in each row=15 Total number of pear trees in the orchard= 12 x 15=180 The correct answer is option b. Question 5. Megan rounded 366,458 to 370,000. To which place did Megan round the number? Options: a. hundred thousands b. ten thousands c. thousands d. hundreds Answer: ten thousands Explanation: The given number is 366,458, the ten thousand place digit has 6 which while rounding off should be changed to the next consecutive number and the digits in the other places should be written as zeroes. The correct answer is option b. Question 6. Mr. Jessup, an airline pilot, flies 1,350 miles a day. How many miles will he fly in 8 days? Options: a. 1,358 miles b. 8,400 miles c. 10,800 miles d. 13,508 miles Answer: 10,800 miles Explanation: Number of miles flew by Mr.Jessup in one day= 1,350 miles Number of days=8 Total number of miles flew by Mr.Jessup in 8 days= 1,350 x 8= 10,800 miles. The correct answer is option c. ### Common Core – Divide by 1-Digit Numbers – Page No. 79 Division and the Distributive Property Find the quotient. Question 1. 54 ÷ 3 = ( 30 ÷ 3) + ( 24 ÷ 3) = 10 + 8 = 18 Question 2. 81 ÷ 3 = ______ Answer: 27 Explanation: 81 ÷ 3 STEP1 Find the nearest estimates of the number 81 STEP2 We can break the number 81 into 21 + 60 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (60 ÷ 3) + (21 ÷ 3) STEP5 Add quotients of the above 20 +7= 27 Question 3. 232 ÷ 4 = ______ Answer: 58 Explanation: 232 ÷ 4 STEP1 Find the nearest estimates of the number 232 STEP2 We can break the number 232 into 200 + 32 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (200 ÷ 4) + (32 ÷ 4) STEP5 Add quotients of the above 50 +8= 58 Question 4. 305 ÷ 5 = ______ Answer: 61 Explanation: 305 ÷ 5 STEP1 Find the nearest estimates of the number 305 STEP2 We can break the number 305 into 300 + 5 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (300 ÷ 5) + (5 ÷ 5) STEP5 Add quotients of the above 60 +1= 61 Question 5. 246 ÷ 6 = ______ Answer: 41 Explanation: 246 ÷ 6 STEP1 Find the nearest estimates of the number 246 STEP2 We can break the number 246 into 240 + 6 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (240 ÷ 6) + (6 ÷ 6) STEP5 Add quotients of the above 40 +1= 41 Question 6. 69 ÷ 3 = ______ Answer: 23 Explanation: 69 ÷ 3 STEP1 Find the nearest estimates of the number 69 STEP2 We can break the number 69 into 60 + 9 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (60 ÷ 3) + (9 ÷ 3) STEP5 Add quotients of the above 20 +3= 23 Question 7. 477 ÷ 9 = ______ Answer: 53 Explanation: 477 ÷ 9 STEP1 Find the nearest estimates of the number 477 STEP2 We can break the number 477 into 450 + 27 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (450 ÷ 9) + (27 ÷ 9) STEP5 Add quotients of the above 50 +3= 53 Question 8. 224 ÷ 7 = ______ Answer: 32 Explanation: 224 ÷ 7 STEP1 Find the nearest estimates of the number 224 STEP2 We can break the number 224 into 210 + 14 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (210 ÷ 7) + (14 ÷ 7) STEP5 Add quotients of the above 30 +2= 32 Question 9. 72 ÷ 4 = ______ Answer: 18 Explanation: 72 ÷ 4 STEP1 Find the nearest estimates of the number 72 STEP2 We can break the number 72 into 40 + 32 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (40 ÷ 4) + (32 ÷ 4) STEP5 Add quotients of the above 10 +8= 18 Question 10. 315 ÷ 3 = ______ Answer: 105 Explanation: 315 ÷ 3 STEP1 Find the nearest estimates of the number 315 STEP2 We can break the number 315 into 300 + 15 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (300 ÷ 3) + (15 ÷3) STEP5 Add quotients of the above 100 +5= 105 Problem Solving Question 11. Cecily picked 219 apples. She divided the apples equally into 3 baskets. How many apples are in each basket? ______ apples Answer: 73 apples Explanation: The total number of apples Cecily picked= 219 apples Number of parts into which she wanted to divide the apples= 3 Number of apples in each part = Quotient of 147 ÷ 7 STEP1 Find the nearest estimates of the number 219 STEP2 We can break the number 219 into 210 + 9 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (210 ÷ 3) + (9 ÷ 3) STEP5 Add quotients of the above 70 +3= 73 Question 12. Jordan has 260 basketball cards. He divides them into 4 equal groups. How many cards are in each group? ______ cards Answer: 65 cards Explanation: The total number of basketball cards Jordan has= 260 basketball cards Number of parts into which he wanted to divide the cards= 4 Number of apples in each part = Quotient of 260 ÷ 4 STEP1 Find the nearest estimates of the number 260 STEP2 We can break the number 260 into 240 + 20 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (240 ÷ 4) + (20 ÷ 4) STEP5 Add quotients of the above 60 +5= 65 Question 13. The Wilsons drove 324 miles in 6 hours. If they drove the same number of miles each hour, how many miles did they drive in 1 hour? ______ miles Answer: 54 miles Explanation: The total number of miles drove by Wilson= 324 miles Number of hours he drove = 6 Number of miles drove in each hour = Quotient of 324 ÷ 6 STEP1 Find the nearest estimates of the number 324 STEP2 We can break the number 324 into 300 + 24 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (300 ÷ 6) + (24 ÷ 6) STEP5 Add quotients of the above 50 +4= 54 Question 14. Phil has 189 stamps to put into his stamp album. He puts the same number of stamps on each of 9 pages. How many stamps does Phil put on each page? ______ stamps Answer: 21 stamps Explanation: The total number of stamps Phil has= 189 stamps Number of pages= 9 Number of stamps put on each page = Quotient of 189 ÷ 9 STEP1 Find the nearest estimates of the number 189 STEP2 We can break the number 189 into 180 + 9 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (180 ÷ 9) + (9 ÷ 9) STEP5 Add quotients of the above 20 +1= 21 ### Common Core – Divide by 1-Digit Numbers – Page No. 80 Lesson Check Question 1. A landscaping company planted 176 trees in 8 equal rows in the new park. How many trees did the company plant in each row? Options: a. 18 b. 20 c. 22 d. 24 Answer: 22 Explanation: The total number of trees in the landscaping= 176 trees Number of rows= 8 Number of trees in each row = Quotient of 176 ÷ 8 STEP1 Find the nearest estimates of the number 176 STEP2 We can break the number 176 into 160 + 16 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (160 ÷ 8) + (16 ÷ 8) STEP5 Add quotients of the above 20 +2= 22 Question 2. Arnold can do 65 pushups in 5 minutes. How many pushups can he do in 1 minute? Options: a. 11 b. 13 c. 15 d. 17 Answer: 13 Explanation: The total number of pushups done by Arnold = 65 Number of minutes spent on pushups= 5 Number of pushups done in each minute = Quotient of 65 ÷ 5 STEP1 Find the nearest estimates of the number 65 STEP2 We can break the number 65 into 60 + 5 STEP3 We must divide the two parts of the number (dividend) with the divisor. STEP4 (60 ÷ 5) + (5 ÷ 5) STEP5 Add quotients of the above 12 +1= 13 Spiral Review Question 3. Last Saturday, there were 1,486 people at the Cineplex. There were about the same number of people in each of the 6 theaters. Which is the best estimate of the number of people in each theater? Options: a. between 20 and 30 b. between 80 and 90 c. between 100 and 200 d. between 200 and 300 Answer: between 200 and 300 Explanation: Total number of people at the Cineplex= 1,486 people Number of theatres = 6 Number of people at each theatre= estimate of the number of people 1,486 ÷ 6 What number close to 1,486 is easy to divide by 6? 1,488 is close to 1,486. What basic fact can you use? 1,488 ÷ 6 Choose 1,488 because it is close to 1,486 and can easily be divided by 6. 1,488 ÷ 6 = 248 1,486 ÷ 6 is about 248 What number close to 1,486 is easy to divide by 6? 1,482 is close to 1,486 . What basic fact can you use? 1,482 ÷ 6 Choose 1,482 because it is close to 1,486 and can easily be divided by 6. 1,482 ÷ 6 = 247 1,486 ÷ 6 is about 247 Question 4. Nancy walked 50 minutes each day for 4 days last week. Gillian walked 35 minutes each day for 6 days last week. Which statement is true? Options: a. Gillian walked 10 minutes more than Nancy. b. Gillian walked 20 minutes more than Nancy. c. Nancy walked 10 minutes more than Gillian. d. Nancy walked 15 minutes more than Gillian. Answer: Nancy walked 15 minutes more than Gillian. Explanation: Time walked by Nancy= 50 minutes Time walked by Gillian= 35 minutes Nancy walked more time compared to Gillian 50-35=15 minutes Therefore, Nancy walked 15 minutes more than Gillian. Question 5. Three boys share 28 toy cars equally. Which best describes how the cars are shared? Options: a. Each gets 3 cars with 1 left over. b. Each gets 8 cars with 2 left over. c. Each gets 9 cars with 1 left over. d. Each gets 10 cars with 2 left over. Answer: Each gets 9 cars with 1 left over. Explanation: Total number of toys three boys have= 28 Number of toys each boy got= 28 ÷3=9.33 Therefore we can say that each gets 9 cars with 1 leftover. Question 6. An airplane flies at a speed of 474 miles per hour. How many miles does the plane fly in 5 hours? Options: a. 2,070 miles b. 2,140 miles c. 2,370 miles d. 2,730 miles Answer: 2,370 miles Explanation: Number of miles flew by airplane in one hour= 474 Number of hours the airplane flew= 5 hours Total number of miles flew in 5 hours= 474 x 5= 2,370 miles ### Common Core – Divide by 1-Digit Numbers – Page No. 81 Divide Using Repeated Subtraction Use repeated subtraction to divide. Question 1. 42 ÷ 3 = 14 3)$$\overline { 42 }$$ -30 ← 10 × 3 | 10 ——- 12 -12 ← 4 × 3 | +4 ——- ——— 0 14 Question 2. 72 ÷ 4 = ______ Answer: 18 Explanation: A. Begin with 72 counters. Subtract 4 counters. B. Subtract 4 counters from 72 and repeat the processes until the remainder cannot be subtracted from the divisor. C. Record the number of counters left and the number of times you subtracted. D. The number of times you subtracted is the quotient is 18 Question 3. 93 ÷ 3 = ______ Answer: 31 Explanation: A. Begin with 93 counters. Subtract 3 counters. B. Subtract 3 counters from 93 and repeat the processes until the remainder cannot be subtracted from the divisor. C. Record the number of counters left and the number of times you subtracted. D. The number of times you subtracted is the quotient is 31 Question 4. 35 ÷ 4 = ______ r ______ Answer: 8r3 Explanation: Quotient: A. Use 35 counters to represent the 35 dominoes. Then draw 4 circles to represent the divisor. B. Share the counters equally among the 4 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 35 ÷ 4 D. Number of circles are equally filled with 4 counters, therefore, the quotient is 8 Remainder: The number of counters left over is the remainder. The number of counters leftover= 3 For 35 ÷ 4, the quotient is 8 and the remainder is 3, or 8 r3. Question 5. 93 ÷ 10 = ______ r ______ Answer: 9r3 Explanation: Quotient: A. Use 93 counters to represent the 93 dominoes. Then draw 10 circles to represent the divisor. B. Share the counters equally among the 10 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 93 ÷ 10 D. Number of circles are equally filled with 10 counters, therefore, the quotient is 9 Remainder: The number of counters left over is the remainder. The number of counters leftover= 3 For 93 ÷ 10, the quotient is 9 and the remainder is 3, or 9 r3. Question 6. 86 ÷ 9 = ______ r ______ Answer: 9r5 Explanation: Quotient: A. Use 86 counters to represent the 86 dominoes. Then draw 9 circles to represent the divisor. B. Share the counters equally among the 9 groups by placing them in the circles. C. Number of counters formed in each group = quotient of 86 ÷ 9 D. Number of circles are equally filled with 9 counters, therefore, the quotient is 9 Remainder: The number of counters left over is the remainder. The number of counters leftover= 5 For 86 ÷ 9, the quotient is 9 and the remainder is 5, or 9 r5. Draw a number line to divide. Question 7. 70 ÷ 5 = ______ Answer: 14 Explanation: A. Draw a number line with 5 as each interval. B. Draw up to 70 and count the intervals, it gives the quotient. C. The quotient is 14 Problem Solving Question 8. Gretchen has 48 small shells. She uses 2 shells to make one pair of earrings. How many pairs of earrings can she make? ______ pairs Answer: 24 pairs Explanation: Total number of small shells= 48 Number of shells used to make one pair of earrings = 2 Number of pair of earrings made = 48 ÷ 2 =24 Question 9. James wants to purchase a telescope for$54. If he saves $3 per week, in how many weeks will he have saved enough to purchase the telescope? ______ weeks Answer:$18

Explanation:
Cost of the telescope=$54 Amount saved each week =$3
Number of weeks he has to save the money to purchase the telescope = $54 ÷$3 = $18 ### Common Core – Divide by 1-Digit Numbers – Page No. 82 Lesson Check Question 1. Randall collects postcards that his friends send him when they travel. He can put 6 cards on one scrapbook page. How many pages does Randall need to fit 42 postcards? Options: a. 3 b. 4 c. 6 d. 7 Answer: 7 Explanation: Total number of postcards Randall has = 42 postcards Number of postcards on one scrapbook page = 6 cards Number of pages needed to fit the postcards = 42 ÷ 6=7 The correct answer is option d. Question 2. Ari stocks shelves at a grocery store. He puts 35 cans of juice on each shelf. The shelf has 4 equal rows and another row with only 3 cans. How many cans are in each of the equal rows? Options: a. 6 b. 7 c. 8 d. 9 Answer: 8 Explanation: Total number of cans of juice on each shelf = 35 Number of rows = 4 Number of cans on the other shelf = 3 Number of cans placed on the first shelf = 35 – 3 = 32 Number of juice cans in the first row = 32 ÷ 4 = 8 cans The correct answer is option c. Spiral Review Question 3. Fiona sorted her CDs into separate bins. She placed 4 CDs in each bin. If she has 160 CDs, how many bins did she fill? Options: a. 4 b. 16 c. 40 d. 156 Answer: 40 Explanation: Total number of CD’s in Fiona has = 160 CD’s Number of CD’s placed in each bin = 4 Number of bins required to place the CD’s = 160 ÷ 4 = 40 The correct answer is option c. Question 4. Eamon is arranging 39 books on 3 shelves. If he puts the same number of books on each shelf, how many books will there be on each shelf? Options: a. 11 b. 12 c. 13 d. 14 Answer: 13 Explanation: Total number of books Eamon has = 39 books Number of shelves = 3 Number of books in each shelf = 39 ÷ 3 = 13 The correct answer is option c. Question 5. A newborn boa constrictor measures 18 inches long. An adult boa constrictor measures 9 times the length of the newborn plus 2 inches. How long is the adult? Options: a. 142 inches b. 162 inches c. 164 inches d. 172 inches Answer: 164 inches Explanation: Length of newborn boa constrictor = 18 inches Length of an adult boa constrictor = 9 x Length of newborn boa constrictor = 9 x 18 = 162 Total length of an adult boa constrictor = 162 + 2 = 164 inches The correct answer is option c. Question 6. Madison has 6 rolls of coins. Each roll has 20 coins. How many coins does Madison have in all? Options: a. 110 b. 120 c. 125 d. 130 Answer: 120 Explanation: Number of rolls of coins = 6 Number of coins in each roll = 20 Total number of coins Madison has = 20 x 6 = 120 The correct answer is option b. ### Common Core – Divide by 1-Digit Numbers – Page No. 83 Divide Using Partial Quotients Divide. Use partial quotients. Question 1. 8)$$\overline { 184 }$$ -80 ← 10 × 8 10 ——- 104 -80 ← 10 × 8 +10 -24 -24 ← 3 × 8 +3 ——- ——— 0 23 Question 2. 6)$$\overline { 258 }$$ ______ Answer: 43 Explanation: STEP 1 Start by subtracting a greater multiple, such as 40 times the divisor. Continue subtracting until the remaining number is less than the multiple, 6. STEP 2 Subtract smaller multiples, such as 3 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 40 x 6 = 240 : 258 – 240 = 18 3 x 6 = 18 : 18 – 18 = 0 Therefore the quotient is 43 ( 40 + 3) Question 3. 5)$$\overline { 630 }$$ ______ Answer: 126 Explanation: STEP 1 Start by subtracting a greater multiple, such as 100 times the divisor. Continue subtracting until the remaining number is less than the multiple, 5. STEP 2 Subtract smaller multiples, such as 20 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 100 x 5 = 500 : 630 – 500 = 130 5 x 20 = 100 : 130 – 100 = 30 : 5 x 6 = 30 : 30 – 30 = 0 Therefore the quotient is 126 ( 100 + 20 + 6) Divide. Use rectangular models to record the partial quotients. Question 4. 246 ÷ 3 = ____ Answer: 82 Explanation: STEP 1 Start by subtracting a greater multiple, such as 80 times the divisor. Continue subtracting until the remaining number is less than the multiple, 3. STEP 2 Subtract smaller multiples, such as 80 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 80 x 3 = 240 : 246 – 240 = 6 3 x 2 = 6 : 6 – 6 = 0 Therefore the quotient is 82 ( 80 + 2) The rectangle models are given below : Question 5. 126 ÷ 2 = ____ Answer: 63 Explanation: STEP 1 Start by subtracting a greater multiple, such as 60 times the divisor. Continue subtracting until the remaining number is less than the multiple,2. STEP 2 Subtract smaller multiples, such as 60 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 60 x 2 = 120 : 126 – 120 = 6 2 x 3 = 6 : 6 – 6 = 0 Therefore the quotient is 63 ( 60 +3) The rectangle models are given below : Question 6. 605 ÷ 5 = ____ Answer: 121 Explanation: STEP 1 Start by subtracting a greater multiple, such as 100 times the divisor. Continue subtracting until the remaining number is less than the multiple, 5. STEP 2 Subtract smaller multiples, such as 20 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 100 x 5 = 500 : 605 – 500 = 105 5 x 20 = 100 : 105 – 100 = 5 : 5 x 1 = 5 : 5 – 5 = 0 Therefore the quotient is 121 ( 100 + 20 + 1) The rectangle models are given below : Divide. Use either way to record the partial quotients. Question 7. 492 ÷ 3 = ____ Answer: 164 Explanation: STEP 1 Start by subtracting a greater multiple, such as 100 times the divisor. Continue subtracting until the remaining number is less than the multiple, 3. STEP 2 Subtract smaller multiples, such as 50 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 100 x 3 = 300 : 492 – 300 = 192 50 x 3 = 150 : 192 – 150 = 42 : 3 x 14 = 42 : 42 – 42 = 0 Therefore the quotient is 164 ( 100 + 50 + 14) Question 8. 224 ÷ 7 = ____ Answer: 32 Explanation: STEP 1 Start by subtracting a greater multiple, such as 30 times the divisor. Continue subtracting until the remaining number is less than the multiple, 7. STEP 2 Subtract smaller multiples, such as 30 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 30 x 7 = 210 : 224 – 210 = 14 7 x 2 = 14 : 14 – 14 = 0 Therefore the quotient is 32 ( 30 + 2) Question 9. 692 ÷ 4 = ____ Answer: 173 Explanation: STEP 1 Start by subtracting a greater multiple, such as 100 times the divisor. Continue subtracting until the remaining number is less than the multiple, 4. STEP 2 Subtract smaller multiples, such as 100 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 100 x 4 = 400 : 692 – 400 = 392 4 x 50 = 200 : 392 – 200 = 192 : 4 x 48 = 192 : 192 – 192 = 0 Therefore the quotient is 198 ( 100 + 50 + 48) Problem Solving Question 10. Allison took 112 photos on vacation. She wants to put them in a photo album that holds 4 photos on each page. How many pages can she fill? ____ pages Answer: 28 pages Explanation: STEP 1 Start by subtracting a greater multiple, such as 20 times the divisor. Continue subtracting until the remaining number is less than the multiple, 4. STEP 2 Subtract smaller multiples, such as 20 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient. So, there are 20 x 4 = 80 : 112 – 80 = 32 4 x 8 = 32 : 32 – 32 = 0 Therefore the quotient is 28 ( 20 + 8) Question 11. Hector saved$726 in 6 months. He saved the same amount each month. How much did Hector save each month?
$____ Answer:$121

Explanation:
STEP 1
Start by subtracting a greater multiple, such as 100 times the divisor.
Continue subtracting until the remaining number is less than the multiple, 6.
STEP 2
Subtract smaller multiples, such as 100 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient.
So, there are 100 x 6 = 600 : 726 – 600 = 126
6 x 20 = 120 : 126 – 120 = 6 : 6 x 1 = 6 : 6 – 6 = 0
Therefore the quotient is 121 ( 100 + 20 +1)

### Common Core – Divide by 1-Digit Numbers – Page No. 84

Lesson Check

Question 1.
Annaka used partial quotients to divide 145 ÷ 5. Which shows a possible sum of partial quotients?
Options:
a. 50 + 50 + 45
b. 100 + 40 + 5
c. 10 + 10 + 9
d. 10 + 4 + 5

Answer: 10 + 10 + 9

Explanation:
STEP 1
Start by subtracting a greater multiple, such as 100 times the divisor.
Continue subtracting until the remaining number is less than the multiple, 4.
STEP 2
Subtract smaller multiples, such as 10 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient.
So, there are 10 x 5 = 50 : 145 – 50 = 95
5 x 10 = 50 : 95 – 50 = 45 : 5 x 9 = 45 : 45 – 45 = 0
Therefore the quotient is 29 ( 10 + 10 +9)

Question 2.
Mel used partial quotients to find the quotient 378 ÷ 3. Which might show the partial quotients that Mel found?
Options:
a. 100, 10, 10, 9
b. 100, 10, 10, 6
c. 100, 30, 30, 6
d. 300, 70, 8

Explanation:
STEP 1
Start by subtracting a greater multiple, such as 100 times the divisor.
Continue subtracting until the remaining number is less than the multiple, 3.
STEP 2
Subtract smaller multiples, such as 10 times the divisor until the remaining number is less than the divisor. In other words, keep going until you no longer a remainder is left in the place of the remainder. Then add the partial quotients to find the quotient.
So, there are 100 x 3 = 300 : 378 – 300 = 78
10 x 3 =30 : 78 – 30 = 48 : 3 x 16 = 48 : 48 – 48 = 0
Therefore the quotient is 126 ( 100 + 10 +10 + 6)

Spiral Review

Question 3.
What are the partial products of 42 × 5?
Options:
a. 9 and 7
b. 20 and 10
c. 200 and 7
d. 200 and 10

Explanation:
STEP1
42 x 5
Start by multiplying the digit five with the units digit 2 = 5 x 2 =10
Multiply the digit 5 with 4 in the tens place = 4 x 5 = 20
Since 4 is in the tens place when we multiply 4 and 5 we must place it in the hundreds place by assuming the units digit to be zero.
Therefore, the partial product of 42 x 5 = 200

Question 4.
Mr. Watson buys 4 gallons of paint that cost $34 per gallon. How much does Mr. Watson spend on paint? Options: a.$38
b. $126 c.$136
d. $1,216 Answer:$136

Explanation:
Cost of each gallon of paint = $34 Number of gallons = 4 The total cost of the gallons =$ 34 x 4 = $136 Question 5. Use the area model to find the product 28 × 32. Options: a. 840 b. 856 c. 880 d. 896 Answer: 896 Explanation: The whole rectangle is divided into four small rectangles the areas of these rectangles are: Area of yellow rectangle= 30 x 20=600 Area of green rectangle= 2 x 20 = 40 Area of pink rectangle= 8 x 30= 240 Area of blue rectangle= 2 x 8= 16 Product of 32 and 28 = Area of yellow rectangle + Area of green rectangle + Area of pink rectangle + Area of the blue rectangle = 600+40+240+16 = 896 Question 6. An adult male lion eats about 108 pounds of meat per week. About how much meat does an adult male lion eat in one day? Options: a. about 14 pounds b. about 15 pounds c. about 16 pounds d. about 17 pounds Answer: about 15 pounds Explanation: Mass of meat an adult lion eats in one week = 108 Number of days in a week = 7 Mass of meat ate by the lion in one day = 108 ÷ 7 = 15.4 pounds = about 15 pounds ### Common Core – Divide by 1-Digit Numbers – Page No. 85 Model Division with Regrouping Divide. Use base-ten blocks. Question 1. 63 ÷ 4 = 15 r3 Explanation: A. draw 4 circles to represent the divisor. Then use base-ten blocks to model 63. Show 63 as 6 tens and 3 ones. B. Share the tens equally among the 4 groups. C. If there are any tens left, regroup them as ones. Share the ones equally among the 4 groups. D. There are 1 ten(s) and 5 one(s) in each group. So, the quotient is 15. E. After grouping, there are 3 blocks that weren’t grouped. So, the remainder is 3 Question 2. 83 ÷ 3 _____ R _____ Answer: 27 r 2 Explanation: A. Draw 3 circles to represent the divisor. Then use base-ten blocks to model 83. Show 83 as 8 tens and 3 ones. B. Share the tens equally among the 3 groups. C. If there are any tens left, regroup them as ones. Share the ones equally among the 3 groups. D. There are 2 ten(s) and 7 one(s) in each group. So, the quotient is 27. E. After grouping, there are 2 blocks that weren’t grouped. So, the remainder is 2 Divide. Draw quick pictures. Record the steps. Question 3. 85 ÷ 5 _____ Answer: 17 Explanation: A. Draw 5 circles to represent the divisor. Then use base-ten blocks to model 85. Show 85 as 8 tens and 5 ones. B. Share the tens equally among the 5 groups. C. If there are any tens left, regroup them as ones. Share the ones equally among the 5 groups. D. There are 1 ten(s) and 7 one(s) in each group. So, the quotient is 17. Question 4. 97 ÷ 4 _____ R _____ Answer: 24 r 1 Explanation: A. Draw 4 circles to represent the divisor. Then use base-ten blocks to model 97. Show 97 as 9 tens and 7 ones. B. Share the tens equally among the 4 groups. C. If there are any tens left, regroup them as ones. Share the ones equally among the 4 groups. D. There are 2 ten(s) and 4 one(s) in each group. So, the quotient is 24. E. After grouping, there is 1 block that wasn’t grouped. So, the remainder is 1. Problem Solving Question 5. Tamara sold 92 cold drinks during her 2-hour shift at a festival food stand. If she sold the same number of drinks each hour, how many cold drinks did she sell each hour? _____ cold drinks Answer: 46 cold drinks Explanation: Total number of cold drinks Tamara sold = 92 The time in which she sold the drinks = 2 hours Number of drinks she sold in each hour = 92 ÷ 2 = 46 Question 6. In 3 days Donald earned$42 running errands. He earned the same amount each day. How much did Donald earn from running errands each day?
$_____ Answer:$14

Explanation:
Total amount earned by Donald = $42 Number of days = 3 Amount earned on each day =$42 ÷ 3 = $14 ### Common Core – Divide by 1-Digit Numbers – Page No. 86 Lesson Check Question 1. Gail bought 80 buttons to put on the shirts she makes. She uses 5 buttons for each shirt. How many shirts can Gail make with the buttons she bought? Options: a. 14 b. 16 c. 17 d. 18 Answer: 16 Explanation: Total number of buttons = 80 Number of buttons used for each shirt = 5 Number of shirts she can make = 80 ÷ 5 =16 The correct answer is option b. Question 2. Marty counted how many breaths he took in 3 minutes. In that time, he took 51 breaths. He took the same number of breaths each minute. How many breaths did Marty take in one minute? Options: a. 15 b. 16 c. 17 d. 19 Answer: 17 Explanation: Total number of breaths Marty counted = 51 Time in which the breath was counted = 3 minutes Number of breaths in one minute = 51 ÷ 3 = 17 The correct answer is option c. Spiral Review Question 3. Kate is solving brain teasers. She solved 6 brain teasers in 72 minutes. How long did she spend on each brain teaser? Options: a. 12 minutes b. 14 minutes c. 18 minutes d. 22 minutes Answer: 12 minutes Explanation: Number of brain teasers solved = 6 Number of minutes spent on brain teasers = 72 minutes Number of minutes spent on each problem = 72 ÷ 6 =12 minutes The correct answer is option a. Question 4. Jenny works at a package delivery store. She puts mailing stickers on packages. Each package needs 5 stickers. How many stickers will Jenny use if she is mailing 105 packages? Options: a. 725 b. 625 c. 525 d. 21 Answer: 525 Explanation: Number of packages = 105 Number of stickers on each package = 5 Total number of stickers on the packages = 105 x 5 = 525 The correct answer is option c. Question 5. The Puzzle Company packs standardized puzzles into boxes that hold 8 puzzles. How many boxes would it take to pack up 192 standard-sized puzzles? Options: a. 12 b. 16 c. 22 d. 24 Answer: 24 Explanation: Total number of puzzles = 192 Number of puzzles in each box = 8 Number of boxes used = 192 ÷ 8 = 24 boxes The correct answer is option d. Question 6. Mt. Whitney in California is 14,494 feet tall. Mt. McKinley in Alaska is 5,826 feet taller than Mt. Whitney. How tall is Mt. McKinley? Options: a. 21,310 feet b. 20,320 feet c. 20,230 feet d. 19,310 feet Answer: 20,320 feet Explanation: Height of Mt. Whitney in California = 14,494 feet The height of Mt. McKinley in Alaska is 5,826 feet taller than Mt. Whitney. Therefore the height of Mt. McKinley in Alaska = 14,494 feet + 5,826 feet = 20,320 feet The correct answer is option b. ### Common Core – Divide by 1-Digit Numbers – Page No. 87 Place the First Digit Divide. Question 1. 62 3)$$\overline { 186 }$$ -18 ——– 06 -6 ——– 0 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 186. 180 hundred can be shared among 3 groups without regrouping. Now there is 18 tens and 6 ones to share among 3 groups. The first digit of the quotient will be in the tens place. STEP 2 Divide the tens. Divide. 180 ÷ 3 Multiply. 3 × 60 = 180 Subtract. 186 − 180 = 6 ones STEP 3 Divide the ones. Now there are 6 ones to share among 3 groups. Divide. 6 ones ÷ 3 Multiply. 2×3 ones Subtract. 6 ones − 2 ones =0 one So, the quotient is 62 (60 + 2) and the remainder is 0 Question 2. 4)$$\overline { 298 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. Look at the hundreds in 298. 280 hundred can be shared among 4 groups without regrouping. Now there are 28 tens and 18 ones to share among 4 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 280 ÷ 4 Multiply. 4 × 70 = 280 Subtract. 280 − 280 = 0 ones STEP 3 Divide the ones. Now there are 18 ones to share among 4 groups. Divide. 18 ones ÷ 4 Multiply. 4×4 ones Subtract. 18 ones − 16 ones = 2 ones So, the quotient is 74 (70 + 4) and the remainder is 2. Question 3. 3)$$\overline { 461 }$$ _____ R _____ Answer: 153 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 461. 450 hundred can be shared among 3 groups without regrouping. Now there is 45 tens and 11 ones to share among 3 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 450 ÷ 3 Multiply. 3 × 150 = 450 Subtract. 450 − 450 = 0 ones STEP 3 Divide the ones. Now there are 11 ones to share among 3 groups. Divide. 11 ones ÷ 3 Multiply. 3×3 ones Subtract. 11 ones − 9 ones = 2 ones So, the quotient is 153 (150 + 3) and the remainder is 2 Question 4. 9)$$\overline { 315 }$$ _____ R _____ Answer: 35 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 315. 310 hundred can be shared among 9 groups without regrouping. Now there is 31 tens and 5 ones to share among 9 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide.310 ÷ 9 Multiply. 9 × 30 = 270 Subtract. 310 − 270 = 40 ones STEP 3 Divide the ones. Now there are 40 + 5 = 45 ones to share among 9 groups. Divide. 45 ones ÷ 9 Multiply. 5×9 ones Subtract. 45 ones − 45 ones = 0 ones So, the quotient is 35 (30 + 5) and the remainder is 0 Question 5. 2)$$\overline { 766 }$$ _____ R _____ Answer: 383 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 766. 760 hundred can be shared among 2 groups without regrouping. Now there is 76 tens and 6 ones to share among 2 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 760 ÷ 2 Multiply. 2 × 380 = 760 Subtract. 760 − 760 = 0 ones STEP 3 Divide the ones. Now there are 6 ones to share among 2 groups. Divide. 6 ones ÷ 2 Multiply. 2×3 ones Subtract. 6 ones − 6 ones = 0 ones So, the quotient is 383 (380 + 3) and the remainder is 0 Question 6. 4)$$\overline { 604 }$$ _____ R _____ Answer: 151 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 604. 600 hundred can be shared among 4 groups without regrouping. Now there is 60 tens and 4 ones to share among 4 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 600 ÷ 4 Multiply. 4 × 150 = 600 Subtract. 600 − 600 = 0 ones STEP 3 Divide the ones. Now there are 4 ones to share among 4 groups. Divide. 4 ones ÷ 4 Multiply. 4×1 ones Subtract. 4 ones − 4 ones = 0 ones So, the quotient is 151 (150 + 1) and the remainder is 0 Question 7. 6)$$\overline { 796 }$$ _____ R _____ Answer: 132 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 796. 790 hundred can be shared among 6 groups without regrouping. Now there is 79 tens and 6 ones to share among 6 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 790 ÷ 6 Multiply. 6 × 131 = 786 Subtract. 790 − 786 = 4 ones STEP 3 Divide the ones. Now there are 4 + 6 = 10 ones to share among 6 groups. Divide. 10 ones ÷ 6 Multiply. 6×1 ones Subtract. 10 ones − 6 ones = 4 ones So, the quotient is 132 (131 + 1) and the remainder is 4. Question 8. 5)$$\overline { 449 }$$ _____ R _____ Answer: 89 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 449. 440 hundred can be shared among 5 groups without regrouping. Now there is 44 tens and 9 ones to share among 5 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 440 ÷ 5 Multiply. 5 × 88 = 440 Subtract. 440 − 440 = 0 ones STEP 3 Divide the ones. Now there are 9 ones to share among 5 groups. Divide. 9 ones ÷ 5 Multiply. 5×1 ones Subtract. 9 ones − 5 ones = 4 ones So, the quotient is 89 (88 + 1) and the remainder is 4 Question 9. 6)$$\overline { 756 }$$ _____ R _____ Answer: 126 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 756. 750 hundred can be shared among 6 groups without regrouping. Now there is 75 tens and 6 ones to share among 6 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 750 ÷ 6 Multiply. 6 × 125 = 750 Subtract. 750 − 750 = 0 ones STEP 3 Divide the ones. Now there are 6 ones to share among 6 groups. Divide. 6 ones ÷ 6 Multiply. 6×1 ones Subtract. 6 ones − 6 ones = 0 ones So, the quotient is 126 (125 + 1) and the remainder is 0 Question 10. 7)$$\overline { 521 }$$ _____ R _____ Answer: 74 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 521. 520 hundred can be shared among 7 groups without regrouping. Now there is 52 tens and 1 one to share among 7 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 520 ÷ 7 Multiply. 7 × 74 = 518 Subtract. 520 − 518 = 2 ones STEP 3 Divide the ones. Now there are 2 + 1 = 3 ones to share among 7 groups. Divide. 3 ones ÷ 7 (not possible) So, the quotient is 74 and the remainder is 3 Question 11. 5)$$\overline { 675 }$$ _____ R _____ Answer: 135 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 675. 670 hundred can be shared among 5 groups without regrouping. Now there is 67 tens and 5 ones to share among 5 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 670 ÷ 5 Multiply. 5 × 134 = 670 Subtract. 670 − 670 = 0 ones STEP 3 Divide the ones. Now there are 5 ones to share among 5 groups. Divide. 5 ones ÷ 5 Multiply. 5×1 ones Subtract. 5 ones − 5 ones = 0 ones So, the quotient is 135 (134 + 1) and the remainder is 0. Question 12. 8)$$\overline { 933 }$$ _____ R _____ Answer: 116 Explanation: STEP 1 Use place value to place the first digit. Look at the hundreds in 933. 930 hundred can be shared among 8 groups without regrouping. Now there is 93 tens and 3 ones to share among 8 groups. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the tens. Divide. 930 ÷ 8 Multiply. 8 × 116 = 928 Subtract. 930 − 928 = 2 ones STEP 3 Divide the ones. Now there are 2 + 3 = 5 ones to share among 8 groups. Divide. 5 ones ÷ 8 (not possible) So, the quotient is 116 (100 + 3) and the remainder is 5. Problem Solving Question 13. There are 132 projects in the science fair. If 8 projects can fit in a row, how many full rows of projects can be made? How many projects are in the row that is not full? _____ full rows _____ projects in the non-full row Answer: 16 full rows and 4 projects in the non-full row Explanation: Total number of projects = 132 Number of projects placed in full row = 8 Number of rows having full projects =Quotient of 132 ÷ 8 = 16 Number of projects in the non-full row = Remainder of 132 ÷ 8 = 4 Question 14. There are 798 calories in six 10-ounce bottles of apple juice. How many calories are there in one 10-ounce bottle of apple juice? _____ R _____ calories in one 10-ounce bottles of juice Answer: 133 calories Explanation: Number of calories in 6 bottles of apple juice = 798 Number of calories in each bottle = 798 ÷6 = 133 calories ### Common Core – Divide by 1-Digit Numbers – Page No. 88 Lesson Check Question 1. To divide 572 ÷ 4, Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quotient? Options: a. ones b. tens c. hundreds d. thousands Answer: hundreds Explanation: The quotient of 572÷ 4 is 143 STEP 1 Use place value to place the first digit. Look at the hundreds in 572. 560 hundred can be shared among 4 groups without regrouping. Now there is 1 ten to share among 4 groups. The first digit of the quotient will be in the hundreds place. Question 2. Onetta biked 325 miles in 5 days. If she biked the same number of miles each day, how far did she bike each day? Options: a. 1,625 miles b. 320 miles c. 65 miles d. 61 miles Answer: 65 miles Explanation: Total number of miles biked = 325 miles Number of days biked = 5 Number of miles biked on each day = Quotient of 325 ÷ 5 = 65 Spiral Review Question 3. Mort makes beaded necklaces that he sells for$32 each. About how much will Mort make if he sells 36 necklaces at the local art fair?
Options:
a. $120 b.$900
c. $1,200 d.$1,600

Answer: $1,200 Explanation: Cost of each beaded necklace =$32
Number of necklaces = 36
The total cost of the necklaces = $32 x 36 =$1,200 (approx)

Question 4.
Which is the best estimate of 54 × 68?
Options:
a. 4,200
b. 3,500
c. 3,000
d. 350

Explanation:

Taking the terms nearest to the 54 x 68 as 54 x 65 = 3510 = 3500 (approx)

Question 5.
Ms. Eisner pays $888 for 6 nights in a hotel. How much does Ms. Eisner pay per night? Options: a.$5,328
b. $882 c.$148
d. $114 Answer:$148

Explanation:
Total pays of Ms Eisner in a hotel = $888 Number of nights = 6 Amount Ms Eisner pay per night =$888 ÷ 6 = $148 Question 6. Which division problem does the model show? Options: a. 42 ÷ 3 b. 44 ÷3 c. 51 ÷ 3 d. 54 ÷ 3 Answer: 54 ÷ 3 Explanation: Number of counters in each model = 18 Number of models = 3 Total number of counters = 18 x 3 = 54 Therefore the model displays = 54 ÷ 3 ### Common Core – Divide by 1-Digit Numbers – Page No. 89 Divide by 1-Digit Numbers Divide and check. Question 1. 318 $$\overline { 2)636 }$$ 318 -6 × 2 ——— ——— 03 636 -2 ——— 16 -16 ——— 0 Question 2. 4)$$\overline { 631 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the hundreds. STEP 3 Divide the tens. STEP 4 Divide the ones. Question 3. 8)$$\overline { 906 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. The first digit of the quotient will be in the hundreds place. STEP 2 Divide the hundreds. STEP 3 Divide the tens. STEP 4 Divide the ones. Question 4. 6)$$\overline { 6,739 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. Look at the thousands in 6,739. 6 thousand can be shared among 6 groups without regrouping. The first digit of the quotient will be in the thousands place. STEP 2 Divide the thousands. STEP 3 Divide the hundreds. STEP 4 Divide the tens. STEP 5 Divide the ones. Question 5. 4)$$\overline { 2,328 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. Look at the thousands in 2,328. 2 thousand can be shared among 4 groups without regrouping. The first digit of the quotient will be in the thousands place. STEP 2 Divide the thousands. STEP 3 Divide the hundreds. STEP 4 Divide the tens. STEP 5 Divide the ones. Question 6. 5)$$\overline { 7,549 }$$ _____ R _____ Answer: STEP 1 Use place value to place the first digit. Look at the thousands in 7,549. 7 thousand can be shared among 5 groups without regrouping. The first digit of the quotient will be in the thousands place. STEP 2 Divide the thousands. STEP 3 Divide the hundreds. STEP 4 Divide the tens. STEP 5 Divide the ones. Problem Solving Use the table for 7 and 8. Question 7. The Briggs rented a car for 5 weeks. What was the cost of their rental car per week?$ _____

Answer: $197 Explanation: Cost of the car of Briggs =$985
Number of weeks = 5
Cost of rent per week = $985 ÷ 5 =$ 197

Question 8.
The Lees rented a car for 4 weeks. The Santos rented a car for 2 weeks. Whose weekly rental cost was lower? Explain.
The rental cost of _________

Answer: Weekly rental cost was lower for Lees compared to Santos

Explanation:
Cost of the car of Lees = $632 Number of weeks = 4 Cost of rent per week =$632 ÷ 4 =$158 Cost of the car of Santos =$328
Number of weeks = 2
Cost of rent per week = $328 ÷ 2 =$ 164
Therefore weekly rental cost was lower for Lees compared to Santos.

### Common Core – Divide by 1-Digit Numbers – Page No. 90

Lesson Check

Question 1.
Which expression can be used to check
the quotient 646 ÷ 3?
Options:
a. (251 × 3) + 1
b. (215 × 3) + 2
c. (215 × 3) + 1
d. 646 × 3

Answer: (215 × 3) + 1

Explanation:
Multiply 215 x 3 = 645
Then the dividend is 645 + 1 = 646
Thus the correct answer is option c.

Question 2.
There are 8 volunteers at the telethon. The goal for the evening is to raise $952. If each volunteer raises the same amount, what is the minimum amount each needs to raise to meet the goal? Options: a.$7,616
b. $944 c.$119
d. $106 Answer:$7,616

Explanation:
Number of volunteers = 8
Amount raised by each volunteer = $952 Total amount raised =$952 x 8 = $7,616 Thus the correct answer is option a. Spiral Review Question 3. Which product is shown by the model? Options: a. 5 × 15 = 75 b. 5 × 16 = 80 c. 5 × 17 = 75 d. 5 × 17 = 85 Answer: 5 × 17 = 85 Explanation: By counting the number of counters we can give the expression. Number of counters in one row = 17 Number of rows = 5 Therefore the expression = 5 × 17 = 85 Thus the correct answer is option d. Question 4. The computer lab at a high school ordered 26 packages of CDs. There were 50 CDs in each package. How many CDs did the computer lab order? Options: a. 1,330 b. 1,300 c. 1,030 d. 130 Answer: 1,300 Explanation: Number of packages = 26 Number of CDs in each pack = 50 Total number of CDs the computer lab ordered = 26 x 50 = 1,300 Thus the correct answer is option b. Question 5. Which of the following division problems has a quotient with the first digit in the hundreds place? Options: a. 892 ÷ 9 b. 644 ÷ 8 c. 429 ÷ 5 d. 306 ÷ 2 Answer: 306 ÷ 2 Explanation: Use place value to place the first digit. Look at the hundreds in 306. 300 hundred can be shared among 2 groups without regrouping. Now there is 30 tens and 6 ones to share among 2 groups. The first digit of the quotient will be in the hundreds place. Thus the correct answer is option d. Question 6. Sharon has 64 ounces of juice. She is going to use the juice to fill as many 6-ounce glasses as possible. She will drink the leftover juice. How much juice will Sharon drink? Options: a. 4 ounces b. 6 ounces c. 10 ounces d. 12 ounces Answer: 4 ounces Explanation: The total quantity of juice = 64 ounces Quantity of juice she filled = 6 ounces Quantity of juice she drank = Remainder of 64 ÷ 6 = 4 Thus the correct answer is option a. ### Common Core – Divide by 1-Digit Numbers – Page No. 91 Problem Solving Multistep Division Problems Solve. Draw a diagram to help you. Question 1. There are 3 trays of eggs. Each tray holds 30 eggs. How many people can be served if each person eats 2 eggs? Think: What do I need to find? How can I draw a diagram to help? 45 people can be served Question 2. There are 8 pencils in a package. How many packages will be needed for 28 children if each child gets 4 pencils? ______ packages Answer: 14 packages Explanation: Number of pencils in each package = 8 Number of children = 28 Number of pencils each child needs = 4 Total number of pencils = 28 x 4 =112 Number of packages = 112 ÷ 8 = 14 Question 3. There are 3 boxes of tangerines. Each box has 93 tangerines. The tangerines will be divided equally among 9 classrooms. How many tangerines will each classroom get? ______ tangerines Answer: 31 Explanation: Number of boxes = 3 Number of tangerines in each box = 93 Total number of tangerines = 93 x 3 = 279 Number of classrooms = 9 Number of tangerines in each classroom = 279 ÷ 9 = 31 Question 4. Misty has 84 photos from her vacation and 48 photos from a class outing. She wants to put all the photos in an album with 4 photos on each page. How many pages does she need? ______ pages Answer: 33 pages Explanation: Number of photos from her vacation = 84 Number of photos from her class outing = 48 Total number of photos = 84 + 48 = 132 Number of photos in each page = 4 Number of pages required = 132 ÷ 4 = 33 ### Common Core – Divide by 1-Digit Numbers – Page No. 93 Lessons 4.1, 4.5 Estimate the quotient. Question 1. 67 ÷ 4 about ______ Answer: About 17 Explanation: The number close to 67 is 70. Divide 70 by 4 is 17.5 Thus the estimated quotient of 67 ÷ 4 is 17. Question 2. 72 ÷ 5 about ______ Answer: About 14 Explanation: The number close to 72 is 70. Divide 70 by 5 is 14. Thus the estimated quotient of 72 ÷ 5 is 14. Question 3. 213 ÷ 3 about ______ Answer: About 70 Explanation: The number close to 213 is 210. Divide 210 by 3 is 70. Thus the estimated quotient of 213 ÷ 3 is 70. Question 4. 484 ÷ 6 about ______ Answer: About 80 Explanation: The number close to 484 is 480. Divide 480 by 6 is 80. Thus the estimated quotient of 484 ÷ 6 is 80. Question 5. 446 ÷ 7 about ______ Answer: About 60 Explanation: The number close to 446 is 440. Divide 440 by 7 is 60. Thus the estimated quotient of 446 ÷ 7 is 60. Question 6. 1,246 ÷ 4 about ______ Answer: About 300 Explanation: The number close to 1246 is 1200. Divide 1200 by 4 is 300. Thus the estimated quotient of 1,246 ÷ 4 is 300. Question 7. 708 ÷ 9 about ______ Answer: About 80 Explanation: The number close to 708 is 700. Divide 700 by 9 is 80 (approx). Thus the estimated quotient of 708 ÷ 9 is 80. Question 8. 2,657 ÷ 3 about ______ Answer: About 900 Explanation: The number close to 2,657 is 2700. Divide 2700 by 3 is 900. Thus the estimated quotient of 2,657 ÷ 3 is 900. Lesson 4.2 Use counters or quick pictures to find the quotient and remainder. Question 9. 44 ÷ 5 ______ R ______ Answer: 8R4 Explanation: Quotient: A. Use 44 counters to represent the 44 dominoes. Then draw 5 circles to represent the divisor. B. Share the counters equally among the 5 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 44 ÷ 5 D. Number of circles equally filled is8, therefore, the quotient is 8. Remainder: The number of counters left over is the remainder. The number of counters leftover= 4 For 44 ÷ 5, the quotient is 8 and the remainder is 4, or 8R4. Question 10. 8)$$\overline { 21 }$$ ______ R ______ Answer: 2R5 Explanation: Quotient: A. Use 21 counters to represent the 21 dominoes. Then draw 8 circles to represent the divisor. B. Share the counters equally among the 8 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 21 ÷ 8 D. Number of circles equally filled is 2, therefore, the quotient is 2. Remainder: The number of counters left over is the remainder. The number of counters leftover= 5 For 21 ÷ 8, the quotient is 2 and the remainder is 5, or 2R5. Question 11. 4)$$\overline { 75 }$$ ______ R ______ Answer: 18R3 Explanation: Quotient: A. Use 75 counters to represent the 75 dominoes. Then draw 4 circles to represent the divisor. B. Share the counters equally among the 4 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 75 ÷ 4 D. Number of circles equally filled is 18, therefore, the quotient is 18. Remainder: The number of counters left over is the remainder. The number of counters leftover= 3 For 21 ÷ 8, the quotient is 18 and the remainder is 3, or 18R3. Question 12. 76 ÷ 6 ______ R ______ Answer: 12R4 Explanation: Quotient: A. Use 76 counters to represent the 76 dominoes. Then draw 6 circles to represent the divisor. B. Share the counters equally among the 6 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 76 ÷ 6 D. Number of circles equally filled is 12, therefore, the quotient is 12. Remainder: The number of counters left over is the remainder. The number of counters leftover= 4 For 76 ÷ 6, the quotient is 12 and the remainder is 4, or 12R4. Lesson 4.3 Interpret the remainder to solve. Question 13. Kelly divides 29 markers equally among 7 friends. If Kelly keeps the leftover markers, how many markers will she keep? ______ marker(s) Answer: 1 marker Explanation: Given, Kelly divides 29 markers equally among 7 friends. 1 because 4 markers for each friend (4 × 7) would be 28 and the last one would be leftover because it’s not enough for everyone. Question 14. Dave has a board that is 29 inches long. He cuts the board into 4 equal pieces. How long will each piece be? ______ inches Answer: 7 inches Explanation: Dave has a board that is 29 inches long and want to cut it into 4 pieces. You are asked the length of each piece. To solve the question, you need to divide the total length of the board by the number of pieces Dave wants to make. Then, the length of each piece would be: 29 inches/4= 7.25 inches Question 15. Eight students can ride in each van. How many vans are needed for 29 students? ______ vans Answer: 4 vans Explanation: Given, Eight students can ride in each van. 29/8 = 3.625 = 4(approx) Therefore 4 vans are needed for 29 students. Question 16. Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill? ______ glasses Answer: 6 glasses Explanation: Given, Mac has 40 ounces of juice. He pours 6 ounces in each glass. Divide 40 by 6 40/6 = 6.66 ≈ 6 Thus Mac can fill 6 glasses. Lesson 4.4 Use basic facts and place value to find the quotient. Question 17. 120 ÷ 4 = ______ Answer: 30 Explanation: STEP 1 Identify the basic fact. 120 ÷ 4 STEP 2 Use place value. 120 = 12 tens STEP 3 Divide. 12 tens ÷ 4 = 3 tens 120 ÷ 4 = 30 Question 18. 280 ÷ 7 = ______ Answer: 40 Explanation: STEP 1 Identify the basic fact. 280 ÷ 7 STEP 2 Use place value. 280 = 28 tens STEP 3 Divide. 28 tens ÷ 7 = 4 tens 280 ÷ 7 = 40 Question 19. 3,000 ÷ 5 = ______ Answer: 600 Explanation: STEP 1 Identify the basic fact. 3000 ÷ 5 STEP 2 Use place value. 3000 = 300 tens STEP 3 Divide. 300 tens ÷ 5 = 60 tens 3,000 ÷ 5 = 60 tens Question 20. 4,800 ÷ 6 = ______ Answer: 800 Explanation: STEP 1 Identify the basic fact. 4,800 ÷ 6 STEP 2 Use place value. 4800 = 480 tens STEP 3 Divide. 480 tens ÷ 6 = 80 tens 4,800 ÷ 6 = 800 Question 21. 5,600 ÷ 8 = ______ Answer: 700 Explanation: STEP 1 Identify the basic fact. 5,600 ÷ 8 STEP 2 Use place value. 5600 = 560 tens STEP 3 Divide. 560 tens ÷ 8 = 70 tens 5,600 ÷ 8 = 700 Question 22. 6,300 ÷ 9 = ______ Answer: 700 Explanation: STEP 1 Identify the basic fact. 6,300 ÷ 9 STEP 2 Use place value. 6300 = 630 tens STEP 3 Divide. 630 tens ÷ 9 = 70 tens 6,300 ÷ 9 = 700 ### Common Core – Divide by 1-Digit Numbers – Page No. 94 Lessons 4.6–4.7 Choose a method and divide. Question 1. 68 ÷ 4 = ______ Answer: 17 Explanation: The number close to 68 is 70. Divide 70 by 4 is 17 (approx). Thus the estimated quotient of 68 ÷ 4 is 17. Question 2. 48 ÷ 3 = ______ Answer: 16 Explanation: The number close to 48 is 50. Divide 50 by 3 is 16 (approx). Thus the estimated quotient of 48 ÷ 3 is 16. Question 3. 108 ÷ 9 = ______ Answer: 12 Explanation: The number close to 108 is 100. Divide 100 by 9 is 12 (approx). Thus the estimated quotient of 108 ÷ 9 is 12. Question 4. 74 ÷ 2 = ______ Answer: 37 Explanation: The number close to 74 is 70. Divide 70 by 2 is 37 (approx). Thus the estimated quotient of 74 ÷ 2 is 37. Question 5. 122 ÷ 5 = ______ R ______ Answer: 24R2 Explanation: Quotient: A. Use 122 counters to represent the 122 dominoes. Then draw 5 circles to represent the divisor. B. Share the counters equally among the 5 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 122 ÷ 5 D. Number of circles equally filled are 24, therefore, the quotient is 24. Remainder: The number of counters left over is the remainder. The number of counters leftover= 2 For 122 ÷ 5, the quotient is 24 and the remainder is 2, or 24R2. Question 6. 165 ÷ 6 = ______ R ______ Answer: 27R3 Explanation: Quotient: A. Use 165 counters to represent the 165 dominoes. Then draw 6 circles to represent the divisor. B. Share the counters equally among the 6 groups by placing them in the circles. C. Number of groups of counters formed = quotient of 165 ÷ 6. D. Number of circles equally filled are 27, therefore, the quotient is 27. Remainder: The number of counters left over is the remainder. The number of counters leftover= 3 For 165 ÷ 6, the quotient is 27 and the remainder is 3, or 27R3. Lessons 4.8–4.9 Divide. Question 7. 4)$$\overline { 848 }$$ ______ Answer: 212 Question 8. 7)$$\overline { 287 }$$ ______ Answer: 41 Question 9. 5)$$\overline { 405 }$$ ______ Answer: 81 Question 10. 3)$$\overline { 696 }$$ ______ Answer: 232 Question 11. 96 ÷ 6 = ______ Answer: 16 Question 12. 76 ÷ 5 = ______ R ______ Answer: 15R1 Question 13. 58 ÷ 4 = ______ R ______ Answer: 14R2 Question 14. 85 ÷ 2 = ______ R ______ Answer: 42R1 Lessons 4.10–4.11 Divide and check. Question 15. 4)$$\overline { 896 }$$ ______ Answer: 224 Explanation: 224 × 4 896 Question 16. 5)$$\overline { 833 }$$ ______ R ______ Answer: 166r3 Explanation: 166 × 5 830 + 3 833 Question 17. 6)$$\overline { 527 }$$ ______ R ______ Answer: 87r5 Explanation: 87 ×6 522 + 5 527 Question 18. 3)$$\overline { 935 }$$ ______ R ______ Answer: 311r2 Explanation: 311 × 3 933 + 2 935 Question 19. 3)$$\overline { 1,976 }$$ ______ R ______ Answer: 658R2 Explanation: 658 × 3 1974 + 2 1976 Question 20. 6)$$\overline { 1,042 }$$ ______ R ______ Answer: 173r4 Explanation: 173 × 6 1038 + 4 1042 Lesson 4.12 Solve. Draw a diagram to help you. Question 21. Ellis has 2 dozen white baseballs and 4 dozen yellow baseballs. He needs to divide them into cartons that hold 6 each. How many cartons can he fill? ______ cartons Answer: 6 cartons Explanation: Given, Ellis has 2 dozen white baseballs and 4 dozen yellow baseballs. He needs to divide them into cartons that hold 6 each. 6 2 Dozens and 4 Dozens are 12+24 = 36/6 = 6 Therefore he can fill 6 cartons. Question 22. A family of 2 adults and 3 children went out to dinner. The total bill was$42. Each child’s dinner cost $4. How much did each adult’s dinner cost?$ ______

Answer: $15 Explanation: Each child’s dinner –$4
3 child’s dinner – $4 x 3 =$12
$42 – 12 =$30
$30 divided by 2 =$15
Thus each adult’s dinner cost is \$15.

### Conclusion:

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