Students of Grade 2 can get a strong foundation on mathematics concepts by referring to the Go Math Grade 2 Chapter 1 Answer Key Number concepts. It was developed by highly professional mathematics educators and the solutions prepared by them are in a concise manner for easy grasping.

## Go Math Grade 2 Chapter 1 Answer Key Number Concepts

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**Number Concepts**

**Curious about Math**

At a farmers’ market, many different fruits and vegetables are sold.

If there are 2 groups of 10 watermelons on a table, how many watermelons are there?

Answer:

20 watermelons are there.

Explanation:

In the above-given question,

Given that there are 2 groups of watermelons on a table.

10 + 10 = 20

In group 1 there are 10 watermelons.

in group 2 there are 10 watermelons.

so, in total there are 20 watermelons.

### Number Concepts Show What You Know

**Model Numbers to 20**

Write the number that tells how many.

Question 1.

Answer:

Thirteen.

Explanation:

In the above-given, figure,

There are 2 groups of boxes.

in group 1 the boxes all are filled.

in group 2 only 3 boxes are filled.

so in total, there are 13 boxes.

10 + 3 = 13

Question 2.

Answer:

Seventeen.

Explanation:

In the above-given, figure,

There are 2 groups of boxes.

in group 1 the boxes all are filled.

in group 2 only 7 boxes are filled.

so in total, there are 17 boxes.

10 + 7 = 17

**Use a Hundred Chart to Count**

Use the hundred chart.

Question 3.

Count from 36 to 47. Which of the numbers below will you say? Circle them.

Answer:

37, 39, 42.

Explanation:

In the above-given figure,

Given that

count from 36 to 47.

given numbers are 42, 31, 48, 39, and 37.

so 37, 39, and 42 are included in the given numbers.

**Tens**

Write how many tens. Write the number.

Question 4.

Answer:

4 tens.

40.

Explanation:

In the above-given figure,

Given that

there are 4 tens.

10 + 10 + 10 + 10 = 40

Question 5.

Answer:

6 tens.

60.

Explanation:

In the above-given figure,

Given that

there are 6 tens.

10 + 10 + 10 + 10 + 10 + 10 = 60

### Number Concepts Vocabulary Builder

**Visualize It**

Fill in the boxes of the graphic organizer.

Write sentences about ones and tens.

Answer:

There are 10 ones in 1 ten.

there are 20 ones in 2 tens.

there are 10 tens in 1 hundred.

there are 20 tens in 2 hundred.

Explanation:

In the above-given figure,

given that

There are 10 ones in 1 ten.

there are 20 ones in 2 tens.

there are 10 tens in 1 hundred.

there are 20 tens in 2 hundred.

**Understand Vocabulary**

Question 1.

Start with 1. Count on by ones.

1, —, —, —, —, —

Answer:

1, 2, 3, 4, 5, and 6.

Explanation:

In the above-given figure,

Given that

start with 1. count by 1.

1, 2, 3, 4, 5, and 6.

1 + 1 = 2

2 + 1 = 3

3 + 1 = 4

4 + 1 = 5

5 + 1 = 6.

Question 2.

Start with 8. Count back by ones.

8, —, —, — , —, —

Answer:

8, 7, 6, 5, 4, and 3.

Explanation:

In the above-given figure,

Given that

start with 1. count by 1.

8, 7, 6, 5, 4, and 3.

8 – 1 = 7

7 – 1 = 6

6 – 1 = 5

5 – 1 = 4

4 – 1 = 3.

### Number Concepts Game: Three in a Row

Materials

Play with a partner.

Question 1.

Choose a leaf. Read the number on the leaf. Use to model the number.

Question 2.

Your partner checks your model. If your model is correct, put your on the leaf.

Question 3.

Take turns. Try to get 3 in a row.

Question 4.

The first player with 3 in a row wins.

### Number Concepts Chapter Vocabulary Cards

**Chapter I Vocabulary**

### Number Concepts Vocabulary Game

**Going Places with GOMATH! words**

Answer:

digit = digito

doubles = dobles.

even numbers = par numbers.

is equal to (=) = es igual a.

odd numbers = impar.

ones = unidades.

plus (+) = mas.

ten = decena

Explanation:

In the above-given question,

given that

GO MATH words.

digit = digito

doubles = dobles.

even numbers = par numbers.

is equal to (=) = es igual a.

odd numbers = impar.

ones = unidades.

plus (+) = mas.

ten = decena

**Going to the Farmers Market**

For 2 to 4 Players

**Materials**

**How to Play**

Question 1.

Put your in the START circle of the same color.

Answer:

Question 2.

To get your out of START, you must roll a 6.

• If you do not roll a 6, wait until your next turn.

• If you roll a 6, move your to the circle of that same color on the path.

Question 3.

Once you have a on the path, toss the to take a turn. Move your that many.

Question 4.

If you land on a space with a question, answer the question. If your answer is correct, move ahead I space.Question 5.

To reach FINISH, you need to move your up the path of the same color as the The first player to reach FINISH wins.

**The Write Way**

**Reflect**

Choose one idea. Write about it in the space below.

- Explain two things you know about even numbers and odd numbers.
- Write about all the different ways you can show 25.
- Tell how to count on by different amounts to 1,000.

Answer:

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

There are different ways of writing the same number.

We can count different amounts to 1000.

Explanation:

In the above-given question,

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

There are different ways of writing the same number.

for example 0.04, 1/25, 0.22.

We can count different amounts to 1000.

500 + 500 = 1000

250 + 750 = 1000

### Lesson 1.1 Hands On: Algebra • Even and Odd Numbers

**Essential Question**

How are even numbers and odd numbers different?

**Listen Listen**

Use to show each number.

Answer:

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

Explanation:

In the above-given question,

given that

how odd numbers and even numbers are different.

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

for example, 6 is an even number.

7 is an odd number.

**Model and Draw**

Count out cubes for each number. Make pairs.

Even numbers show pairs with no cubes left over.

Odd numbers show pairs with one cube left over.

Answer:

There are 2 pairs for each number.

yes, even numbers show pairs with no cubes left over.

yes, odd numbers show pairs with one cube leftover.

Explanation:

In the above-given figure,

given that

There are 2 pairs for each number.

yes, even numbers show pairs with no cubes left over.

yes, odd numbers show pairs with one cube leftover.

**Share and Show**

Use Cubes. Count out the number of cubes. Make pairs. Then write even or odd.

Question 1.

6 _even___________

Answer:

even.

Explanation:

In the above-given question,

Given that

6 is an even number.

Question 2.

3 __odd__________

Answer:

odd.

Explanation:

In the above-given question,

Given that

3 is an odd number.

Question 3.

2 __even.__________

Answer:

even.

Explanation:

In the above-given question,

Given that

2 is an even number.

Question 4.

9 __odd__________

Answer:

odd.

Explanation:

In the above-given question,

Given that

9 is an odd number.

Question 5.

4 ___even._________

Answer:

even.

Explanation:

In the above-given question,

Given that

4 is an even number.

Question 6.

10__even.__________

Answer:

even.

Explanation:

In the above-given question,

Given that

10 is an even number.

Question 7.

7 __odd.__________

Answer:

odd.

Explanation:

In the above-given question,

Given that

7 is an odd number.

Question 8.

13 _____odd._______

Answer:

odd.

Explanation:

In the above-given question,

Given that

13 is an odd number.

Question 9.

11 _odd___________

Answer:

odd.

Explanation:

In the above-given question,

Given that

11 is an odd number.

Question 10.

14 _even___________

Answer:

even.

Explanation:

In the above-given question,

Given that

14 is an even number.

**On Your Own**

Shade in the ten frames to show the number.

Circle even or odd.

Question 11.

Answer:

Answer:

odd.

Explanation:

In the above-given question,

Given that

17 is an odd number.

Question 12.

Answer:

even.

Explanation:

In the above-given question,

Given that

16 is an even number.

Question 13.

Answer:

odd.

Explanation:

In the above-given question,

Given that

19 is an odd number.

Question 14.

There are an even number of boys and an odd number of girls in Lena’s class. How many boys and girls could be in her class? Show your work.

_____12 boys_______

_____15 girls———

_12 + 15 = 27 students._______

Answer:

There are 12 boys and 15 girls in the class.

Explanation:

In the above-given figure,

given that

there are even a number of boys and an odd number of girls.

So I am assuming 12 boys and 15 girls.

12 + 15 = 27 students.

Question 15.

**MATHEMATICAL PRACTICE**

**Make Arguments **Which two numbers in the box

__6_ and _8__

Explain how you know that they are even numbers?

________________________________

________________________________

________________________________

Answer:

6 and 8 are even numbers in the box.

Explanation:

In the above-given figure,

given that the numbers are 3, 5, 6, and 8.

6 and 8 are even numbers.

An even number is a number that can be divided into two equal groups.

an odd number is a number that cannot be divided into two equal groups.

**Problem Solving • Applications**

Question 16.

**THINK SMARTER**

Fill in the blanks to describe the groups of numbers. Write even or odd.

Write each of these numbers inside the correct loop.

Answer:

In loop A there are odd numbers.

In loop B there are even numbers.

Explanation:

In the above-given figure,

Given that the numbers are 5, 6, 10, 11, 24, and 25.

6, 10, 24 are even numbers.

5, 11, 25 are odd numbers.

In loop A there are odd numbers.

In loop B there are even numbers.

Question 17.

**THINK SMARTER**

Does each ten frame show an even number ? Choose Yes or No.

Answer:

No, each ten frame does not show an even number.

Explanation:

In the above-given figure,

given that

each ten frame show an even number.

no.

**TAKE HOME ACTIVITY**

• Have your child show you a number, such as 9, using small objects and explain why the number is even or odd.

Answer:

9 is an odd number.

Explanation:

In the above-given question,

given that

child shows a number that is 9.

9 is an odd number.

### Hands On: Algebra • Even and Odd Numbers Homework & Practice 1.1

**Algebra • Even and Odd Numbers**

**Shade in the ten frames to show the number. Circle even or odd.**

Question 1.

Answer:

odd.

Explanation:

In the above-given question,

Given that

15 is an odd number.

Question 2.

Answer:

even.

Explanation:

In the above-given question,

Given that

18 is an even number.

Question 3.

Answer:

odd.

Explanation:

In the above-given question,

Given that

11 is an odd number.

Question 4.

Mr. Dell has an odd number of sheep and an even number of cows on his farm. Circle the choice that could tell about his farm.

9 sheep and 10 cows

10 sheep and 11 cows

8 sheep and 12 cows

Answer:

27 sheep and 33 cows.

Explanation:

In the above-given question,

given that

9 sheep and 10 cows.

10 sheep and 11 cows.

8 sheep and 12 cows.

so total there are 27 sheep and 33 cows.

Question 5.

**WRITE Math**

Write two odd numbers and two even numbers. Explain how you know which numbers are even and which are odd.

Answer:

4, 6 are even numbers.

7, 9 are odd numbers.

Explanation:

In the above-given figure,

given that

write 2 odd numbers and two even numbers.

so I am assuming 4 and 6 are even numbers.

7 and 9 are odd numbers.

**Lesson Check**

Question 1.

Circle the even number.

Answer:

4 is an even number.

Explanation:

In the above-given figure,

given that

the numbers are 3, 4, 5, and 9.

4 is an even number.

Question 2.

Circle the odd number.

Answer:

7 is an odd number.

Explanation:

In the above-given figure,

given that

the numbers are 2, 6, 7, and 8.

7 is an odd number.

**Spiral Review**

Question 3.

Circle the odd number.

Answer:

3 is an odd number.

Explanation:

In the above-given figure,

given that

the numbers are 10, 8, 3, and 4.

3 is an odd number.

Question 4.

Circle the even number.

Answer:

6 is an even number.

Explanation:

In the above-given figure,

given that

the numbers are 7, 6, 5, and 1.

6 is an even number.

Question 5.

Circle the even number.

Answer:

2 is an even number.

Explanation:

In the above-given figure,

given that

the numbers are 9, 7, 5, and 2.

2 is an even number.

Question 6.

Circle the odd number.

Answer:

1 is an odd number.

Explanation:

In the above-given figure,

given that

the numbers are 1, 4, 8, and 10.

1 is an odd number.

### Lesson 1.2 Algebra • Represent Even Number

**Essential Question**

Why can an even number be shown as the sum of two equal addends?

Listen and Draw

Answer:

5 + 5 = 10.

Explanation:

In the above-given question,

given that

even number be shown as the sum of two equal addends.

5 + 5 = 10

Make pairs with your cubes. Draw to show the cubes. Then write the numbers you say as you count to find the number of cubes.

_10__ ___16__ cubes

Answer:

6 + 4 = 10.

7 + 9 = 16

Explanation:

In the above-given question,

given that

write the number you say as u count to find the number of cubes.

so I am assuming 6 + 4 = 10

7 + 9 = 16.

**Math Talk**

**MATH PRACTICES**

**Use Reasoning**

Explain how you know if a number modeled with cubes is an even number.

**Share and Show**

How many cubes are there in all? Complete the additon sentence to show the equal groups.

Question 1.

_4___ = 2_ + _2_

Answer:

2 + 2 = 4.

Explanation:

In the above-given figure,

given that

4 = 2 + 2.

2 + 2 = 4.

Question 2.

_8__ = _4__ + _4__

Answer:

4 + 4 = 8.

Explanation:

In the above-given figure,

given that

8 = 4 + 4.

4 + 4 = 8.

Question 3.

Answer:

6 + 6 = 12.

Explanation:

In the above-given figure,

given that

12 = 6 + 6.

6 + 6 = 12.

Question 4.

___ = __ + __

Answer:

7 + 7 = 14.

Explanation:

In the above-given figure,

given that

14 = 7 + 7.

7 + 7 = 14.

**On Your Own**

Shade in the frames to show two equal groups for each number. Complete the addition sentence to show the groups.

Question 5.

Answer:

10 = 5 + 5.

Explanation:

In the above-given figure,

given that

in group 1, 5 boxes are filled.

group 2, 5 boxes are filled.

10 = 5 + 5.

Question 6.

Answer:

10 = 5 + 5.

Explanation:

In the above-given figure,

given that

in group 1, 5 boxes are filled.

group 2, 5 boxes are filled.

10 = 5 + 5.

Question 7.

Elena and José have 18 postcards together. They each have the same number of postcards. How many postcards do Elena and José each have?

Answer:

Elena and Jose each have 9 postcards.

Explanation:

In the above-given figure,

given that

Elena and Jose have 18 postcards together.

They have the same number of postcards.

9 + 9 = 18

Elena and Jose each have 9 postcards.

**THINK SMARTER**

The number 7 is an odd number. Marc showed 7 with this addition sentence. Use Marc’s way to show these odd numbers with addition sentences.

Question 8.

5 = __2_ + __2__ + ___1_

Answer:

5 = 2 + 2 + 1.

Explanation:

In the above-given question,

given that,

the number 7 is an odd number.

5 = 2 + 2 + 1

Question 9.

11 = _5__ + _5___ + __1__

Answer:

11 = 5 + 5 + 1.

Explanation:

In the above-given question,

given that,

the number 11 is an odd number.

11 = 5 + 5 + 1

Question 10.

9 = _4__ + _4___ + _1___

Answer:

9 = 4 + 4 + 1.

Explanation:

In the above-given question,

given that,

the number 9 is an odd number.

9 = 4 + 4 + 1

Question 11.

13 = _6__ + _6___ + __1__

Answer:

13 = 6 + 6 + 1.

Explanation:

In the above-given question,

given that,

the number 13 is an odd number.

13 = 6 + 6 + 1

**Problem Solving • Applications **

Solve. Write or draw to explain.

Question 12.

**MATHEMATICAL PRACTICE** Use Reasoning Jacob and Lucas each have the same number of shells. Together they have 16 shells. How many shells do

Answer:

Jacob and Lucas have 8 shells each.

Explanation:

In the above-given question,

Given that

Jacob and Lucas each have the same number of shells.

Together they have 16 shells.

8 + 8 = 16 shells.

Question 13.

**THINK SMARTER**

Choose an even number between 10 and 19. Draw a picture and then write a sentence to explain why it is an even number.

Answer:

16 is an even number.

Explanation:

In the above-given question,

given that

choose an even number between 10 and 19.

so I am assuming 16 is an even number.

**TAKE HOME ACTIVITY**

• Have your child explain what he or she learned in this lesson

### Algebra • Represent Even Number Homework & Practice 1.2

Shade in the frames to show two equal groups for each number. Complete the addition sentence to show the groups.

Question 1.

Answer:

8 = 4 + 4.

Explanation:

In the above-figure,

given that

shade in the frames to show two equal groups for each number.

8 = 4 + 4 .

Question 2.

Answer:

18 = 9 + 9.

Explanation:

In the above-figure,

given that

shade in the frames to show two equal groups for each number.

18 = 9 + 9 .

Question 3.

Answer:

10 = 5 + 5.

Explanation:

In the above-figure,

given that

shade in the frames to show two equal groups for each number.

10 = 5 + 5.

Question 4.

Answer:

14 = 7 + 7.

Explanation:

In the above-figure,

given that

shade in the frames to show two equal groups for each number.

14 = 7 + 7.

Question 5.

Answer:

20 = 10 + 10.

Explanation:

In the above-figure,

given that

shade in the frames to show two equal groups for each number.

20 = 10 + 10.

**Problem Solving**

Solve. Write or draw to explain.

Question 6.

The seats in a van are in pairs. There are 16 seats. How many pairs of seats are there?

Answer:

2 pairs of seats are there.

Explanation:

In the above-given question,

given that there are 16 seats.

the seats in a van are in pairs.

2 pairs of seats are there.

Question 7.

**WRITE Math**

Draw or write to show that the number 18 is an even number.

Answer:

9 + 9 = 18.

Explanation:

Given that 18 is an even number.

9 + 9 = 18.

**Lesson Check**

Circle the sum that is an even number.

9 + 9 = 18

9 + 8 = 17

8 + 7 = 15

6 + 5 = 11

Answer:

9 + 9 = 18.

Explanation:

In the above-given question,

given that sum is an even number.

9 + 9 = 18.

18 is an even number.

17, 15, and 11 are odd numbers.

Question 2.

Circle the sum that is an even number.

1 + 2 = 3

3 + 3 = 6

2 + 5 = 7

4 + 7 = 11

Answer:

3 + 3 = 6.

Explanation:

In the above-given question,

given that sum is an even number.

3 + 3 = 6.

6 is an even number.

3, 7, and 11 are odd numbers.

**Spiral Review**

Question 3.

Circle the even number.

7

9

10

13

Answer;

10 is an even number.

Explanation:

In the above-given question,

given that circle the even number.

given numbers are 7, 9, 10, and 13.

10 is an even number.

Question 4.

Circle the odd number.

4

11

16

20

Answer;

11 is an odd number.

Explanation:

In the above-given question,

given that circle the odd number.

given numbers are 4, 11, 16, and 20.

11 is an odd number.

Question 5.

Ray has an odd number of cats. He also has an even number of dogs. Complete the sentence.

Ray has _5_ cats and _6_ dogs.

Answer:

Ray has 5 cats and 6 dogs.

Explanation:

In the above-given question,

given that,

Ray has an odd number of cats and also has an even number of dogs.

Ray has 5 cats and 6 dogs.

Question 6.

Circle the sum that is an even number.

2 + 3 = 5

3 + 4 = 7

4 + 4 = 8

7 + 8 = 15

Answer:

4 + 4 = 8.

Explanation:

In the above-given question,

given that sum is an even number.

4 + 4 = 8.

8 is an even number.

5, 7, and 15 are odd numbers.

### Lesson 1.3 Understand Place Value

**Essential Question**

How do you know the value of a digit?

**Listen and Draw**

Write the numbers. Then choose a way to show the numbers.

**Math Talk**

**MATHEMATICAL PRACTICES**

**Explain** why the value of 5 is different in the two numbers

**Share and Show**

Circle the value of the red digit.

Question 1.

Question 2.

Answer:

The red digit is 5.

Explanation:

In the above-given figure,

given that

8 ones and 5 tens.

so the value is 58.

Question 3.

Answer:

The red digit is 4.

Explanation:

In the above-given figure,

given that

0 ones and 4 tens.

so the value is 40.

Question 4.

Answer:

The red digit is 3.

Explanation:

In the above-given figure,

given that

3 ones and 7 tens.

so the value is 73.

Question 5.

Answer:

The red digit is 2.

Explanation:

In the above-given figure,

given that

4 ones and 2 tens.

so the value is 24.

Question 6.

Answer:

The red digit is 1.

Explanation:

In the above-given figure,

given that

1 one and 6 tens.

so the value is 61.

**On Your Own**

Question 7.

Answer:

The red digit is 1.

Explanation:

In the above-given figure,

given that

1 one and 5 tens.

so the value is 51.

Question 8.

Answer:

The red digit is 9.

Explanation:

In the above-given figure,

given that

9 ones and 4 tens.

so the value is 49

.

Question 9.

Answer:

The red digit is 7.

Explanation:

In the above-given figure,

given that

0 one and 7 tens.

so the value is 70.

Question 10.

Phillip bought a puzzle. The number of puzzle pieces has the digit 6 in the ones place and the digit 3 in the tens place. How many puzzle pieces are in Phillip’s puzzle?

_36_ puzzle pieces

Answer:

There are 36 puzzle pieces in Phillip’s puzzle.

Explanation:

In the above-given question,

given that

The number of puzzle pieces has the digit 6 in one place and the digit 3 in the tens place.

3 in the tens place.

6 in one place.

There are 36 puzzle pieces in Phillip’s puzzle.

Question 11.

Noah baked apple pies. The number of apples he used has the digit 1 in the tens place and an even number less than 5 in the ones place. How many apples could Noah have used to bake apple pies?

_14_ apples

Answer:

Noah used to bake apple pies is 14 apples.

Explanation:

In the above-given question,

given that

The number of apples he used has the digit 5 in one place and the digit 1 in the tens place.

1 in the tens place.

4 in one place.

There are 14 baked apple pies.

Question 12.

**THINK SMARTER** Look at the digits of the numbers. Draw quick pictures for the missing blocks.

Answer:

The number is 47.

The number is 52.

Explanation:

In the above-given figure,

given that only a few digits.

so we have to draw quick pictures.

the number is 47, 52.

**Problem Solving • Applications**

Write the 2-digit number that matches the clues.

Question 13.

My number has 8 tens. The digit in the one place is greater than the digit in the tens place.

My number is __9_.

Answer:

My number is 9.

Explanation:

In the above-given question,

given that,

my number has 8 tens.

the digit in the one place is greater than the digit in the tens place.

the number greater than 8 is 9.

Question 14.

In my number, the digit in the ones place is double the digit in the tens place. The sum of the digits is 3. My number is _21_.

Answer:

My number is 21.

Explanation:

In the above-given question,

given that,

my number has 2 tens and one ones.

The sum of the digits is 3.

My number is 21.

Question 15.

**MATHEMATICAL PRACTICE**

**Make Sense of Problems**

In my number, both digits are even numbers. The digit in the tens place is less than the digit in the ones place. The sum of the digits is 6.

My number is _24_.

Answer:

My number is 24.

Explanation:

In the above-given question,

given that,

my number has 2 tens and 4 ones.

The sum of the digits is 6.

The digit in the tens place is less than the digit in the ones place.

My number is 24.

Question 16.

**THINK SMARTER** What is the value of the digit 4 in the number 43?

Answer:

The value of digit 4 is in the tens place.

Explanation:

In the above-given figure,

given that

the value of the digit 4 in the number 43.

digit 4 is in tens place.

**TAKE HOME ACTIVITY**

• Write the number 56. Have your child tell you which digit is in the tens place, which digit is in the ones place, and the value of each digit.

Answer:

The value of digit 5 is in the tens place.

Explanation:

In the above-given figure,

given that

the value of the digit 5 in the number 56.

the value of the digit 6 in ones place.

### Understand Place Value Homework & Practice 1.3

**Circle the value of the underlined digit.**

Question 1.

Answer:

The value of an underlined digit is 2.

Explanation:

In the above-given figure,

given that

3 one and 2 tens.

so the value is 23.

Question 2.

Answer:

The value of an underlined digit is 8.

Explanation:

In the above-given figure,

given that

8 one and 4 tens.

so the value is 48.

Question 3.

Answer:

The value of an underlined digit is 1.

Explanation:

In the above-given figure,

given that

8 one and 1 tens.

so the value is 18.

Question 4.

Answer:

The value of an underlined digit is 4.

Explanation:

In the above-given figure,

given that

3 one and 4 tens.

so the value is 43.

Question 5.

Answer:

The value of an underlined digit is 5.

Explanation:

In the above-given figure,

given that

4 one and 5 tens.

so the value is 54.

Question 6.

Answer:

The value of an underlined digit is 5.

Explanation:

In the above-given figure,

given that

5 one and 6 tens.

so the value is 65.

**Problem Solving**

Write the 2-digit number that matches the clues.

Question 7.

My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits. My number is _3_

Answer:

My number is 3.

Explanation:

In the above-given question,

given that

the number has a tens digit that is 8 more than the ones digit.

Zero is not one of my digits.

my number is 3.

Question 8.

**Write Math**

Draw a quick picture to show the number 76. Describe the value of each digit in this number.

Answer:

The number is 76.

Explanation:

In the above-given figure,

given that the number is 76.

so we have to draw quick pictures.

the number is 76.

**Lesson Check**

Question 1.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 2.

Explanation:

In the above-given figure,

given that

2 one and 3 tens.

so the value is 32.

Question 2.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 2.

Explanation:

In the above-given figure,

given that

8 one and 2 tens.

so the value is 28.

**Spiral Review**

Question 3.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 5.

Explanation:

In the above-given figure,

given that

3 one and 5 tens.

so the value is 53.

Question 4.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 4.

Explanation:

In the above-given figure,

given that

4 one and 2 tens.

so the value is 24.

Question 5.

Is the number of pens and pencils together even or odd? Write the number. Circle even or odd.

Answer:

The number of pencils is odd.

Explanation:

In the above-given figure,

given that

a number of pens and pencils together even or odd.

2 pens and 3 pencils.

2 + 3 = 5

Question 6.

Circle the sum that is an even number.

5 + 2 = _7__

6 + 3 = _9__

7 + 4 = _11__

7 + 7 = _14__

Answer:

7 + 7 = 14.

Explanation:

In the above-given question,

given that sum is an even number.

7 + 7 = 14.

14 is an even number.

7, 9, and 11 are odd numbers

### Lesson 1.4 Expanded Form

**Expanded Form**

**Essential Question**

How do you describe a 2-digit number as tens and ones?

**Listen**

Use or i Tools to model each number.

**Math Talk**

**MATHEMATICAL PRACTICES 6**

Explain how you know how many tens and ones are in the number 29.

Answer:

There are 2 tens and 9 ones in 29.

Explanation:

In the above-given question,

given that

there are 2 tens and 9 ones in 29.

**Share and Show**

Question 1.

37

__3_ tens _7__ ones _3__ + _7___

Answer:

There are 3 tens and 7 ones in 37.

Explanation:

In the above-given question,

given that

there are 3 tens and 7 ones in 37.

Question 2.

54

_5__ tens _4__ ones __5_ + _4___

Answer:

There are 5 tens and 4 ones in 54.

Explanation:

In the above-given question,

given that

there are 5 tens and 4 ones in 54.

Question 3.

16

__1_ tens _6__ ones _1__ + _6___

Answer:

There are 1 tens and 6 ones in 16.

Explanation:

In the above-given question,

given that

there are 1 tens and 6 ones in 16.

Question 4.

60

_6__ tens _0__ ones _6__ + __0__

Answer:

There are 6 tens and 0 ones in 60.

Explanation:

In the above-given question,

given that

there are 6 tens and 0 ones in 60.

**On Your Own**

Draw a quick picture to show the number. Describe the number in two ways.

Question 5.

48

__4_ tens _8__ ones _4__ + __8__

Answer:

There are 4 tens and 8 ones in 48.

Explanation:

In the above-given question,

given that

there are 4 tens and 8 ones in 48.

Question 6.

31

___ tens ___ ones ___ + ____

Answer:

There are 3 tens and 1 ones in 31.

Explanation:

In the above-given question,

given that

there are 3 tens and 1 ones in 31.

Question 7.

Riley has some toy dinosaurs. The number she has is one less than 50. Describe the number of toy dinosaurs in two ways

__4___tens____9___ones.

__4 + 9_

Solve. Write or draw to explain.

Answer:

The number of toy dinosaurs = 49.

Explanation:

In the above-given question,

given that

Riley has some toy dinosaurs.

The number she has is one less than 50.

49

4 tens and 9 ones.

Question 8.

**THINK SMARTER**

Eric has 4 bags of 10 marbles and 6 single marbles. How many marbles does Eric have?

_106___ marbles.

Answer:

There are 106 marbles.

Explanation:

In the above-given figure,

given that

Eric has 4 bags of 10 marbles and 6 single marbles.

10 in tens place and 6 in ones place.

There are 106 marbles in Eric bags.

**Make Connections**

Use crayons. Follow the steps.

Question 9.

Start at 51 and draw a green line to 43.

Answer:

draw a line from 51 to 43.

Question 10.

Draw a blue line from 43 to 34.

Answer:

Draw a line from 43 to 34.

Question 11.

Draw a red line from 34 to 29.

Answer:

Draw a line from 34 to 29

Question 12.

Then draw a yellow line from 29 to 72.

Answer:

Draw a line from 29 to 72.

Explanation:

In the above-given figure,

draw a line from 51 to 43.

draw a line from 43 to 34.

draw a line from 34 to 29.

draw a line from 29 to 72.

Question 13.

Draw a picture to show the number 26. Describe the number 26 in two ways

_2__ tens _6__ ones _20__ + __6_

Answer:

There are 2 tens and 6 ones in 26.

Explanation:

In the above-given question,

given that

there are 2 tens and 6 ones in 26.

**TAKE HOME ACTIVITY**

• Ask your child to write 89 as tens plus ones. Then have him or her write 25 as tens plus ones.

### Expanded Form Homework & Practice 1.4

**Draw a quick picture to show the number. Describe the number in two ways.**

Question 1.

68

_6__ tens _8__ ones _60__ + __8_

Answer:

There are 6 tens and 8 ones in 68.

Explanation:

In the above-given question,

given that

there are 6 tens and 8 ones in 68.

Question 2.

21

__2_ tens _1__ ones __20_ + _1__

Answer:

There are 2 tens and 1 ones in 21.

Explanation:

In the above-given question,

given that

there are 2 tens and 1 ones in 21.

Question 3.

70

_7__ tens __0_ ones __70_ + 0___

Answer:

There are 7 tens and 0 ones in 70.

Explanation:

In the above-given question,

given that

there are 7 tens and 0 ones in 70.

Question 4.

53

__5_ tens __3_ ones _50__ + _4__

Answer:

There are 5 tens and 3 ones in 53.

Explanation:

In the above-given question,

given that

there are 5 tens and 3 ones in 53.

**Problem Solving**

Question 5.

Circle the ways to write the number shown by the model.

Answer:

40 + 6

60 + 4

Explanation:

In the above-given question,

given that 4 tens and 6 ones.

6 tens and 4 ones.

40 + 6 = 64

60 + 4 = 46

Question 6.

**WRITE Math**

Explain how you know the values of the digits in the number 58.

______________________________

______________________________

Answer:

50 + 8

Explanation:

In the above-given question,

given that 5 tens and 8 ones.

50 + 8 = 58

80 + 5 = 85

**Lesson Check**

Question 1.

Describe the number 92 in tens and ones.

_9_ tens _2_ ones

Answer:

There are 9 tens and 2 ones in 92.

Explanation:

In the above-given question,

given that

there are 9 tens and 2 ones in 92.

Question 2.

Describe the number 45 in tens and ones.

_4_ tens _5__ ones

Answer:

There are 4 tens and 5 ones in 45.

Explanation:

In the above-given question,

given that

there are 4 tens and 5 ones in 45.

**Spiral Review**

Question 3.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 4.

Explanation:

In the above-given figure,

given that

9 one and 4 tens.

so the value is 49.

Question 4.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 4.

Explanation:

In the above-given figure,

given that

4 one and 3 tens.

so the value is 34.

Question 5.

Describe the number 76 in another way.

Answer:

The value of an underlined digit is 76.

Explanation:

In the above-given figure,

given that

6 one and 7 tens.

so the value is 76.

Question 6.

Describe the number 52 in another way

Answer:

The value of an underlined digit is 52.

Explanation:

In the above-given figure,

given that

2 one and 5 tens.

so the value is 52.

### Lesson 1.5 Different Ways to Write Numbers

**Essential Question**

What are different ways to write a 2-digit number?

Write the number. Then write it as tens and ones.

Answer:

79

54

Explanation:

for example, i am assuming number 79.

7 tens and 9 ones.

5 tens and 4 ones.

70 + 9 = 79

50 + 4 = 54

**Math Talk**

**MATHEMATICAL PRACTICES**

**Analyze**

In 44, do both digits have the same value? Explain.

**Share and Show MATH BOARD**

Look at the examples above. Then write the number another way.

Question 1.

thirty-two

____32___

Answer:

There are 3 tens and 2 ones in 32.

30 + 2 = 32

Explanation:

In the above-given question,

given that

there are 3 tens and 2 ones in 32.

30 + 2 = 32

Question 2.

20 + 7

___27____

Answer:

There are 2 tens and 7 ones in 27.

20 + 7 = 27

Explanation:

In the above-given question,

given that

there are 2 tens and 7 ones in 27.

20 + 7 = 27

Question 3.

63

_6_ tens _3__ ones

Answer:

There are 6 tens and 3 ones in 63.

60 + 3 = 63

Explanation:

In the above-given question,

given that

there are 6 tens and 3 ones in 63.

60 + 3 = 63

Question 4.

ninety-five

_90__ + _5__

Answer:

There are 9 tens and 5 ones in 95.

90 + 5 = 95

Explanation:

In the above-given question,

given that

there are 9 tens and 5 ones in 95.

90 + 5 = 95

Question 5.

5 tens 1 one

_____51_______

Answer:

There are 5 tens and 1 ones in 51.

50 + 1 = 51

Explanation:

In the above-given question,

given that

there are 5 tens and 1 ones in 51.

50 + 1 = 51

Question 6.

seventy-six

__70_ + __6__

Answer:

There are 7 tens and 6 ones in 76.

70 + 6 = 76

Explanation:

In the above-given question,

given that

there are 7 tens and 6 ones in 76.

70 + 6 = 76

Question 7.

twenty-eight

_2__ tens __8_ ones

Answer:

There are 2 tens and 8 ones in 28.

20 + 8 = 28

Explanation:

In the above-given question,

given that

there are 2 tens and 8 ones in 28.

20 + 8 = 28

Question 8.

8 tens 0 ones

___Eighty_________

Answer:

There are 8 tens and 0 ones in 80.

20 + 0 = 80

Explanation:

In the above-given question,

given that

there are 8 tens and 0 ones in 80.

80 + 0 = 80

**On Your Own**

Write the number another way.

Question 9.

2 tens 4 ones

__Twentyfour__________

Answer:

There are 2 tens and 4 ones in 24.

20 + 4 = 24

Explanation:

In the above-given question,

given that

there are 2 tens and 4 ones in 24.

20 + 4 = 24

Question 10.

thirty

_3_ tens _0__ ones

Answer:

There are 3 tens and 0 ones in 30.

30 + 0 = 30

Explanation:

In the above-given question,

given that

there are 3 tens and 0 ones in 30.

30 + 0 = 30

Question 11.

eighty-five

___80_+__5______

Answer:

There are 8 tens and 5 ones in 85.

80 + 5 = 85

Explanation:

In the above-given question,

given that

there are 8 tens and 5 ones in 85.

80 + 5 = 85

Question 12.

54

_50__ + __4_

Answer:

There are 5 tens and 4 ones in 54.

50 + 4 = 54

Explanation:

In the above-given question,

given that

there are 5 tens and 4 ones in 54.

50 + 4 = 54

Question 13.

Lee has a favorite number. The number has the digit 3 in the ones place and the digit 9 in the tens place. What is another way to write this number?

_Ninety____Three_______

Answer:

There are 9 tens and 3 ones in 93.

90 + 3 = 93

Explanation:

In the above-given question,

given that

there are 9 tens and 3 ones in 93.

90 + 3 = 93

Question 14.

Dan’s number has a digit greater than 5 in the ones place and a digit less than 5 in the tens place. What could be Dan’s number?

_Fifty five___________

Answer:

There are 5 tens and 5 ones in 55.

50 + 5 = 55

Explanation:

In the above-given question,

given that

there are 5 tens and 5 ones in 55.

50 + 5 = 55

**THINK SMARTER**

Fill in the blanks to make the sentence true.

Question 15.

Sixty-seven is the same as _6__ tens _7__ ones.

Answer:

There are 6 tens and 7 ones in 67.

60 + 7 = 67

Explanation:

In the above-given question,

given that

there are 6 tens and 7 ones in 67.

60 + 7 = 67

Question 16.

4 tens _0__ ones is the same as _40__ + _0__

Answer:

There are 4 tens and 0 ones in 40.

40 + 0 = 40

Explanation:

In the above-given question,

given that

there are 4 tens and 0 ones in 40.

40 + 0 = 40

Question 17.

20 + _4_ is the same as _24__

Answer:

There are 2 tens and 4 ones in 24.

20 + 4 = 24

Explanation:

In the above-given question,

given that

there are 2 tens and 4 ones in 24.

20 + 4 = 24

**TAKE HOME ACTIVITY**

• Write 20 + 6 on a sheet of paper. Have your child write the 2-digit number. Repeat for 4 tens 9 ones.

### Different Ways to Write Numbers Homework & Practice 1.5

**Different Ways to Write Numbers**

**Write the number another way.**

Question 1.

32

_3_ tens _2_ ones

Answer:

There are 3 tens and 2 ones in 32.

30 + 2 = 32

Explanation:

In the above-given question,

given that

there are 3 tens and 2 ones in 32.

30 + 2 = 32

Question 2.

forty-one

__40__+_2__

Answer:

There are 4 tens and 2 ones in 42.

40 + 2 = 42

Explanation:

In the above-given question,

given that

there are 4 tens and 2 ones in 42.

40 + 2 = 42

Question 3.

9 tens 5 ones

__Ninety___Five__________

Answer:

There are 9 tens and 5 ones in 95.

90 + 5 = 95

Explanation:

In the above-given question,

given that

there are 9 tens and 5 ones in 95.

90 + 5 = 95

Question 4.

80 + 3

_Eightythree_____

Answer:

There are 8 tens and 3 ones in 83.

80 + 3 = 83

Explanation:

In the above-given question,

given that

there are 8 tens and 3 ones in 83.

80 + 3 = 83

Question 5.

57

_5__ tens _7__ ones

Answer:

There are 5 tens and 7 ones in 57.

50 + 7 = 57

Explanation:

In the above-given question,

given that

there are 5 tens and 7 ones in 57.

50 + 7 = 57

Question 6.

seventy-two

70_ + _6__

Answer:

There are 7 tens and 6 ones in 76.

70 + 6 = 76

Explanation:

In the above-given question,

given that

there are 7 tens and 6 ones in 76.

70 + 6 = 76

Question 7.

60 + 4

_sixtyfour___

Answer:

There are 6 tens and 4 ones in 64.

60 + 4 = 64

Explanation:

In the above-given question,

given that

there are 6 tens and 4 ones in 64.

60 + 4 = 64

Question 8.

4 tens 8 ones

_Fourtyeight______

Answer:

There are 4 tens and 8 ones in 48.

40 + 8 = 48

Explanation:

In the above-given question,

given that

there are 4 tens and 8 ones in 48.

40 + 8 = 48

Question 9.

A number has the digit 3 in the ones place and the digit 4 in the tens place. Which of these is another way to write this number? Circle it.

Answer:

40 + 3

Explanation:

In the above-given question,

given that,

A number has the digit 3 in the ones place and the digit 4 in tens place.

40 + 3

Question 10.

**Write Math**

Write the number 63 in four different ways.

Answer:

Sixty-three.

60 + 3

30 + 6

6 tens and 3 ones.

Explanation:

In the above-given figure,

given that

the number 63 in four different ways.

Sixty-three.

60 + 3

30 + 6

6 tens and 3 ones.

**Lesson Check**

Question 1.

Write 3 tens 9 ones in another way.

Thirty-_nine______

Answer:

There are 3 tens and 9 ones in 39.

30 + 9 = 39

Explanation:

In the above-given question,

given that

there are 3 tens and 9 ones in 39.

30 + 9 = 39

Question 2.

Write the number eighteen in another way.

_______

Answer:

There are 1 ten and 8 ones in 18.

10 + 8 = 18

Explanation:

In the above-given question,

given that

there are 1 ten and 8 ones in 18.

10 + 8 = 18

**Spiral Review**

Question 3.

Write the number 47 in tens and ones.

_4_ tens _7__ ones

Answer:

There are 4 tens and 7 ones in 47.

40 + 7 = 47

Explanation:

In the above-given question,

given that

there are 4 tens and 7 ones in 47.

40 + 7 = 47

Question 4.

Write the number 95 in words.

_Ninty-five___________

Answer:

There are 9 tens and 5 ones in 95.

90 + 5 = 95

Explanation:

In the above-given question,

given that

there are 9 tens and 5 ones in 95.

90 + 5 = 95

Question 5.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 1.

Explanation:

In the above-given figure,

given that

1 one and 6 tens.

so the value is 61.

Question 6.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 1.

Explanation:

In the above-given figure,

given that

7 one and 1 tens.

so the value is 17.

### Lesson 1.6 Algebra • Different Names for Numbers

**Essential Question**

How can you show the value of a number in different ways?

**Listen and Draw**

Use to show the number different ways.

Record the tens and ones.

**Math Talk**

**MATHEMATICAL PRACTICES**

**Describe** how you can use addition to write the number 26.

Answer:

20 + 6 = 26

Explanation:

In the above-given figure,

given that

26

20 + 6 = 26.

**Share and Show**

The blocks show the numbers in different ways. Describe the blocks in two ways.

Question 1.

28

Answer:

a.2 tens and 8 ones.

20 + 8

b. 1 ten and 18 ones.

1 + 18

c. 0 tens and 28 ones.

028

Explanation:

In the above-given figures,

given that,

a.2 tens and 8 ones.

20 + 8

b. 1 ten and 18 ones.

1 + 18

c. 0 tens and 28 ones.

028

Question 2.

35

Answer:

a.3 tens and 5 ones.

30 + 5

b. 2 ten and 15 ones.

20 + 15

c. 0 tens and 35 ones.

035

Explanation:

In the above-given figures,

given that,

a.3 tens and 5 ones.

30 + 5

b. 2 ten and 15 ones.

20 + 15

c. 0 tens and 35 ones.

035

**On Your Own**

The blocks show the numbers in different ways. Describe the blocks in two ways.

Question 3.

43

Answer:

a.4 tens and 3 ones.

40 + 3

b. 2 ten and 23 ones.

20 + 23

c. 3 tens and 13 ones.

30 + 13

Explanation:

In the above-given figures,

given that,

a.4 tens and 3 ones.

40 + 3

b. 2 ten and 23 ones.

20 + 23

c. 3 tens and 13 ones.

30 + 13

Question 4.

Roderick has 7 boxes of 10 cards and 4 single cards. How many cards does Roderick have?

_14__ cards

Answer:

14 cards.

Explanation:

In the above-given figure,

given that

14

10 + 4 = 14.

Question 5.

**THINK SMARTER**

I have 2 bags of 10 oranges. I also have 24 single oranges. How many oranges do I have?

I have _34__ oranges.

Answer:

34 oranges.

Explanation:

In the above-given figure,

given that

34

30 + 4 = 34.

Draw a quick picture to show the number.

Question 6.

Make Connections Fill in the blanks to make each sentence true.

__ tens __ ones is the same as 90 + 3.

2 tens 18 ones is the same as ___ + __

5 tens __ ones is the same as ___ + 17.

Answer:

9 tens 3 ones.

20 + 18

50 + 17

Explanation:

In the above-given question,

given that,

9 tens 3 ones is the same as 90 + 3.

2 tens 18 ones is the same as 20 + 18

5 tens 17 ones is the same as 50 + 17.

9 tens 3 ones.

20 + 18

50 + 17

Question 7.

**GO DEEPER**

A number has the digit 4 in the ones place and the digit 7 in the tens place. Which of these show ways to write this number? Circle them.

Answer:

There are 7 tens and 4 ones in 74.

70 + 4 = 74

Explanation:

In the above-given question,

given that

there are 7 tens and 4 ones in 74.

70 + 4 = 74

Question 8.

**THINK SMARTER**

Which of these is another way to show the number 42? Choose Yes or No for each.

Answer:

a.No.

b. Yes.

c. Yes

d. No

Explanation:

In the above-given figure,

given that,

1 ten 42 ones.

30 + 12

2 tens 22 ones.

3 tens 2 ones.

### Algebra • Different Names for Numbers Homework & Practice 1.6

The blocks show the number in different ways. Describe the blocks in two ways.

Question 1.

24

Answer:

a.2 tens and 4 ones.

20 + 4

b. 1 ten and 14 ones.

10 + 14

c. 0 tens and 24 ones.

24

Explanation:

In the above-given figures,

given that,

a.2 tens and 4 ones.

20 + 4

b. 1 ten and 14 ones.

10 + 14

c. 0 tens and 24 ones.

024

Question 2.

36

Answer:

a.2 tens and 16 ones.

20 + 16

b. 1 ten and 26 ones.

10 + 26

c. 3 tens and 6 ones.

30 + 6

Explanation:

In the above-given figures,

given that,

a.2 tens and 16 ones.

20 + 16

b. 1 ten and 26 ones.

10 + 26

c. 3 tens and 6 ones.

30 + 6

**Problem Solving**

Question 3.

Toni has these blocks. Circle the blocks that she could use to show 34.

Question 4.

**WRITE Math**

Draw quick pictures to show the number 38 in three different ways

**Lesson Check**

Question 1.

What number is shown with the blocks? Write the number.

Answer:

The number is 33.

Explanation:

In the above-given figure,

given that

13 one and 2 tens.

so the value is 33.

Question 2.

What number is shown with the blocks? Write the number.

Answer:

The number is 26.

Explanation:

In the above-given figure,

given that

16 one and 2 tens.

so the value is 26.

**Spiral Review**

Question 3.

What number is shown with the blocks? Write the number.

Answer:

The number is 27.

Explanation:

In the above-given figure,

given that

17 one and 1 tens.

so the value is 27.

Question 4.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 1.

Explanation:

In the above-given figure,

given that

1 one and 6 tens.

so the value is 61.

Question 5.

Which is another way to write 9 tens 3 ones? Write the number.

__93___

Answer:

The number is 93.

Explanation:

In the above-given figure,

given that

3 one and 9 tens.

so the value is 93.

Question 6.

Describe the number 50 in tens and ones.

__5_ tens __0_ ones

Answer:

The number is 50.

Explanation:

In the above-given figure,

given that

0 one and 5 tens.

so the value is 50.

### Lesson 1.7 PROBLEM SOLVING

**Essential Question**

How does finding a pattern help you find all the ways to show a number with tens and ones?

**Show how to solve the problem.**

Draw quick pictures for 32. Complete the chart.

Answer:

The number is 32.

Explanation:

In the above-given figure,

given that

2 one and 3 tens.

so the value is 32.

**HOME CONNECTION**

• Your child found a pattern in the different combinations of tens and ones. Using a pattern helps to make an organized list.

**Try Another Problem**

- What do I need to find?
- What information do I need to use?

Find a pattern to solve.

Question 1.

Sara has 36 crayons. She can pack them in boxes of 10 crayons or as single crayons. What are all of the ways Sara can pack the crayons?

Answer:

The number is 36.

Explanation:

In the above-given figure,

given that

6 one and 3 tens.

so the value is 36.

Question 2.

Mr. Winter is putting away 48 chairs. He can put away the chairs in stacks of 10 or as single chairs. What are all of the ways Mr. Winter can put away the chairs?

Answer:

The number is 48.

Explanation:

In the above-given figure,

given that

8 one and 4 tens.

so the value is 48.

**Math Talk**

**MATHEMATICAL PRACTICES**

**Look for Structure**

Describe the pattern you can use to write the number 32.

Answer:

The number is 32.

Explanation:

In the above-given figure,

given that

2 one and 3 tens.

so the value is 32

.

**Share and Show**

Find a pattern to solve.

Question 3.

Philip is putting 25 markers into a bag. He can put the markers in the bag as bundles of 10 or as single markers. What are all of the ways Philip can put the markers in the bag?

Answer:

The number is 25.

Explanation:

In the above-given figure,

given that

5 one and 2 tens.

so the value is 25.

Question 4.

Stickers are sold in packs of 10 stickers or as single stickers. Miss Allen wants to buy 33 stickers. What are all of the ways she can buy the stickers?

Answer:

The number is 33.

Explanation:

In the above-given figure,

given that

3 one and 3 tens.

so the value is 33.

Question 5.

**THINK SMARTER**

Devin had 32 baseball cards. He gets 7 more cards. He can pack them in boxes of 10 cards or as single cards. What are all of the ways Devin can sort the cards?

Answer:

The number is 32.

Explanation:

In the above-given figure,

given that

2 one and 3 tens.

so the value is 32.

**On Your Own**

Solve. Write or draw to explain.

Question 6.

**MATHEMATICAL PRACTICE**

**Look for Structure**

Lee can pack her toy cars in boxes of 10 cars or as single cars. Which of these is a way that she can pack her 24 toy cars? Circle your answer.

Answer:

The number is 24.

Explanation:

In the above-given figure,

given that

4 one and 2 tens.

so the value is 24.

Question 7.

**THINK SMARTER** Mr. Link needs 30 cups. He can buy them in packs of 10 cups or as single cups. What are all of the different ways he can buy the cups? Find a pattern to solve.

Answer:

The number is 30.

Explanation:

In the above-given figure,

given that

0 one and 3 tens.

so the value is 30.

Choose two of the ways from the chart. Explain how these two ways show the same number of cups.

**TAKE HOME ACTIVITY**

• Have your child explain how he or she solved one of the exercises in this lesson.

### PROBLEM SOLVING Homework & Practice 1.7

Find a pattern to solve.

Question 1.

Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks. What are the different ways Ann can group the rocks?

Answer:

The number is 38.

Explanation:

In the above-given figure,

given that

8 one and 3 tens.

so the value is 38.

Question 2.

Mr. Grant needs 30 pieces of felt. He can buy them in packs of 10 or as single pieces. What are the different ways Mr. Grant can buy the felt?

Answer:

The number is 30.

Explanation:

In the above-given figure,

given that

0 one and 3 tens.

so the value is 30.

Question 3.

**WRITE Math** Choose one of the problems above. Describe how you organized the answers.

___________________________________________

___________________________________________

___________________________________________

___________________________________________

___________________________________________

___________________________________________

Answer:

The number is 30.

Explanation:

In the above-given figure,

given that

0 one and 3 tens.

so the value is 30.

**Lesson Check**

Question 1.

Mrs. Chang is packing 38 apples. She can pack them in bags of 10 or as single apples. Complete the table to show another way Mrs. Chang can pack the apples.

Answer:

The number is 38.

Explanation:

In the above-given figure,

given that

3 one and 8 tens.

so the value is 38

.

**Spiral Review**

Question 2.

What is the value of the underlined digit? Write the number.

Answer:

The value of an underlined digit is 5.

Explanation:

In the above-given figure,

given that

4 one and 5 tens.

so the value is 54.

___5________

Question 3.

What number is shown with the blocks? Write the number.

thirtynine__.

Answer:

The number is 39.

Explanation:

In the above-given figure,

given that

9 one and 3 tens.

so the value is 39.

Question 4.

Write the number 62 in words.

_Sixtytwo.___

Answer:

The number is 62.

Explanation:

In the above-given figure,

given that

2 one and 6 tens.

so the value is 62.

Question 5.

What number can be written as 8 tens and 6 ones? Write the number.

_Eighty Six___

Answer:

The number is 86.

Explanation:

In the above-given figure,

given that

6 one and 8 tens.

so the value is 86.

### Lesson 1.8 Counting Patterns Within 100

**Counting Patterns Within 100**

**Essential Question**

How do you count by 1s, 5s, and 10s with numbers less than 100?

**Listen and Draw**

Look at the hundred chart. Write the missing numbers.

Answer:

4, 7, 9, 12, 17, 21, 25, 33, 37, 40, 42, 48, 52, 54, 56, 58,61, 63, 69, 75, 77, 80, 82, 84, 91, 93,97, and 99.

Explanation:

In the above-given figure,

Given that 100 charts.

the missing numbers are 4, 7, 9, 12, 17, 21, 25, 33, 37, 40, 42, 48, 52, 54, 56, 58,61, 63, 69, 75, 77, 80, 82, 84, 91, 93,97, and 99.

**Math Talk**

**MATHEMATICAL PRACTICES**

Describe some different ways to find the missing numbers in the chart.

**Model and Draw**

You can count on by different amounts.

You can start counting with different numbers.

Count by ones.

Question 1.

Count by fives.

5, 10, 15, 20, ___, ___, ___, ____

50, 55, 60, 65, __, ___, __, ___

Answer:

The missing numbers are25, 30, 35, 40.

70, 75, 80, 85.

Explanation:

In the above-given figure,

given that,

the missing numbers are

25, 30, 35, 40.

70, 75, 80, 85.

**Share and Show**

Count by ones.

Question 1.

15, 16, 17, _18__, 19__, _20__, _21__, _22___

Answer:

The missing numbers are 18, 19, 20, 21, and 22.

Explanation:

In the above-given figure,

given that,

the missing numbers are

18, 19, 20, 21, and 22.

Count by fives

Question 3.

60, 65, ___, __, ___, ___, ____

Answer:

The missing numbers are 70, 75, 80, 85, and 90.

Explanation:

In the above-given figure,

given that,

the missing numbers are 70, 75, 80, 85, and 90.

Count by tens.

Question 4.

10, 20, ___, __, ___, ___, ____

Answer:

The missing numbers are 30, 40, 50, 60, and 70.

Explanation:

In the above-given figure,

given that,

the missing numbers are 30, 40, 50, 60, and 70.

Question 5.

30, 40, ___, __, ___, ___, ____

Answer:

The missing numbers are 50, 60,70, 80, and 90.

Explanation:

In the above-given figure,

given that,

the missing numbers are 50, 60, 70, 80, and 90.

**On Your Own**

Count by ones.

Question 6.

77, 78, ___, __, ___, ___, ____

Answer:

The missing numbers are 79, 80, 81, 82, and 83.

Explanation:

In the above-given figure,

given that,

the missing numbers are 79, 80, 81, 82, and 83.

Count by fives.

Question 7.

35, 40, ___, __, ___, ___, ____

Answer:

The missing numbers are 45, 50, 55, 60, and 65.

Explanation:

In the above-given figure,

given that,

the missing numbers are 45, 50, 55, 60, and 65.

Count by tens.

Question 8.

20, 30, ___, __, ___, ___, ____

Answer:

The missing numbers are 40, 50, 60, 70, and 80.

Explanation:

In the above-given figure,

given that,

the missing numbers are 40, 50, 60, 70, and 80.

Question 9.

Amber counts by fives to 50. How many numbers will she say?

10___ numbers

Question 10.

**THINK SMARTER**

Dinesh counts by fives to 100. Gwen counts by tens to 100. Who will say more numbers? Explain.

Answer:

Dinesh will say more numbers.

Explanation:

In the above-given question,

given that,

Dinesh counts by fives to 100, Gwen counts by tens to 100.

so, Dinesh counts by fives to 100.

**Problem Solving • Applications**

**MATHEMATICAL PRACTICE**

**Analyze**

Question 11.

Andy counts by ones. He starts at 29 and stops at 45. Which of these numbers will he say? Circle them.

Answer:

The numbers are 31, 35, 39, 40.

Explanation:

In the above-given figure,

given numbers are 31, 40, 47, 20, 46, 39, 35.

He starts at 29 and stops at 45.

numbers are 31, 35, 39, 40.

Question 12.

Camila counts by fives. She starts at 5 and stops at 50. Which of these numbers will she say? Circle them.

Answer:

The numbers are 6, 10, 18, 25, 40, 45.

Explanation:

In the above-given figure,

given numbers are 6, 10, 18, 25, 40, 45.

He starts at 5 and stops at 50.

numbers are 6, 10, 18, 40, 45.

Question 13.

**THINK SMARTER**

Grace starts at the number 40 and counts three different ways. Write to show how Grace counts.

Count by ones. 40, ___, __, ___, ___, ____, ___

Count by fives. 40, ___, __, ___, ___, ____, ___

Count by tens. 40, ___, __, ___, ___, ____, ___

Answer:

The missing numbers are 41, 42, 43, 44, 45, and 46.

45, 50, 55, 60, 65, and 70.

50, 60, 70, 80, 90, and 100.

Explanation:

In the above-given figure,

given that,

the missing numbers are

41, 42, 43, 44, 45, and 46.

45, 50, 55, 60, 65, and 70.

50, 60, 70, 80, 90, and 100.

**TAKE HOME ACTIVITY**

• With your child, practice counting by ones to 100, starting with numbers such as 58 or 62.

### Counting Patterns Within 100 Homework & Practice 1.8

**Counting Patterns Within 100**

Count by ones.

Question 1.

58, 59, ___, __, ___, ___, ____,

Answer:

The missing numbers are 60, 61, 62, 63, and 64.

Explanation:

In the above-given figure,

given that,

the missing numbers are 60, 61, 62, 63, and 64.

Count by fives.

Question 2.

45, 50, ___, __, ___, ___, ____,

Answer:

The missing numbers are 55, 60, 65, 70, and 75.

Explanation:

In the above-given figure,

given that,

the missing numbers are 55, 60, 65, 70, and 75.

Question 3.

20, 25, ___, __, ___, ___, ____,

Answer:

The missing numbers are 30, 35, 40, 45, and 50.

Explanation:

In the above-given figure,

given that,

the missing numbers are 30, 35, 40, 45, and 50.

Count by tens.

Question 4.

20, ___, __, ___, ___, ____, ___

Answer:

The missing numbers are 30, 40, 50, 60, 70, and 80.

Explanation:

In the above-given figure,

given that,

the missing numbers are 30, 40, 50, 60, 70, and 80.

Count back by ones.

Question 5.

87, 86, 85, ___, __, ___, ___, ____

Answer:

The missing numbers are 84, 83, 82, 81, and 80.

Explanation:

In the above-given figure,

given that,

the missing numbers are 84, 83, 82, 81, and 80.

Problem Solving

Question 6.

Tim counts his friends’ fingers by fives. He counts six hands. What numbers does he say?

5, ___, __, ___, ___, ____

Answer:

The missing numbers are 10, 15, 20, 25, and 30.

Explanation:

In the above-given figure,

given that,

the missing numbers are 10, 15, 20, 25, and 30.

Question 7.

**WRITE Math** Count by 1s or 5s. Write the first five numbers you would count, starting at 15.

Answer:

Count by 1s = 16, 17, 18, 19, and 20.

count by 5s = 20, 25, 30, 35, 40, and 45.

Explanation:

In the above-given figure,

given that,

the first five numbers you would count, starting at 15.

Count by 1s = 16, 17, 18, 19, and 20.

count by 5s = 20, 25, 30, 35, 40, and 45.

**Lesson Check**

Question 1.

Count by fives.

70, ___, __, ___, ___

Answer:

The missing numbers are 75, 80, 85, and 90.

Explanation:

In the above-given figure,

given that,

the missing numbers are 75, 80, 85, and 90.

Question 2.

Count by fives.

60, ___, __, ___, ___

Answer:

The missing numbers are 65, 70, 75, and 80.

Explanation:

In the above-given figure,

given that,

the missing numbers are 65, 70, 75, and 80.

**Spiral Review**

Question 3.

Count by ones.

21, ___, __, ___, ___

Answer:

The missing numbers are 22, 23, 24, and 25.

Explanation:

In the above-given figure,

given that,

the missing numbers are 22, 23, 24, and 25.

Question 4.

A number has 2 tens and 15 ones. Write the number in words.

Answer:

The number is 35.

Explanation:

In the above-given figure,

given that

5 one and 3 tens.

so the value is 35.

Question 5.

Describe the number 72 in tens and ones.

_7_ tens _2_ ones

Answer:

The number is 72.

Explanation:

In the above-given figure,

given that

2 one and 7 tens.

so the value is 72.

Question 6.

Find the sum. Is the sum even or odd? Write even or odd.

9 + 9 = _18_

___even________

Answer:

The number is 18.

even.

Explanation:

In the above-given figure,

given that

8 one and 1 tens.

so the value is 18.

### Lesson 1.9 Counting Patterns Within 1,000

**Essential Question**

How do you count by 1s, 5s, 10s, and 100s with numbers less than 1,000?

**Listen and Draw**

Write the missing numbers in the chart

Answer:

The missing numbers are 402, 405, 409, 412, 413, 414, 420, 426, 431, 433, 439, 440, 445, 448, 451, 452, 453, 463, 464, 465, 467, 471, 478, 483, 487, 488, 489, 491, 494, 499, and 500.

Explanation:

In the above-given figure,

Given that 1000 charts.

the missing numbers are 402, 405, 409, 412, 413, 414, 420, 426, 431, 433, 439, 440, 445, 448, 451, 452, 453, 463, 464, 465, 467, 471, 478, 483, 487, 488, 489, 491, 494, 499, and 500.

**Math Talk**

**MATHEMATICAL PRACTICES**

**Look for Structure**

What counting patterns could you use to complete the chart?

**Model and Draw**

Counting can be done in different ways. Use patterns to count on.

Count by fives.

Count by tens.

300, 310, 320, __330_, __340_, _350_, __360_

470, 480, 490, _500__, _510__, _520_, __530_

Answer:

The missing numbers are 330, 340, 350, and 360.

500, 510, 520, and 530.

Explanation:

In the above-given figure,

given that,

the missing numbers are 330, 340, 350, and 360.

500, 510, 520, and 530.

**Share and Show Math Board**

Count by fives.

Question 1.

745, 750, 755, _760_, 765__, _770_, __775._

Answer:

The missing numbers are 760, 765, 770, and 775.

Explanation:

In the above-given figure,

given that,

the missing numbers are 760, 765, 770, 775.

Count by tens.

Question 2.

520, 530, 540, _550_, _560_, _570_, _580__

Answer:

The missing numbers are 550, 560, 570, and 580.

Explanation:

In the above-given figure,

given that,

the missing numbers are 550, 560, 570, and 580.

Question 3.

600, 610, _620_, _630_, _640_, _650__, _660__

Answer:

The missing numbers are 620, 630, 640, 650, and 660.

Explanation:

In the above-given figure,

given that,

the missing numbers are 620, 630, 640, 650, and 660.

Count by hundreds.

Question 4.

100, 200, _300_, _400_, _500_, _600__, _700__

Answer:

The missing numbers are 300, 400, 500, 600, and 700

Explanation:

In the above-given figure,

given that,

the missing numbers are 300, 400, 500, 600, and 700.

Question 5.

300, 400, _500_, _600_, _700_, __800_, _900_

Answer:

The missing numbers are 500, 600, 700, 800, and 900.

Explanation:

In the above-given figure,

given that,

the missing numbers are 500, 600, 700, 800, and 900.

**On Your Own**

Count by fives.

Question 6.

215, 220, 225, __, __, __, ___

Answer:

The missing numbers are 230, 235, 240, and 245.

Explanation:

In the above-given figure,

given that,

the missing numbers are 230, 235, 240, and 245.

Question 7.

905, 910, __915, _920_, _925_, __930_, _935__

Answer:

The missing numbers are 915, 920, 925, 930, and 935.

Explanation:

In the above-given figure,

given that,

the missing numbers are 915, 920, 925, 930, and 935.

Count by tens.

Question 8.

730, 740, 750, _760_, _770_, __780, _790_

Answer:

The missing numbers are 760, 770, 780, 790.

Explanation:

In the above-given figure,

given that,

the missing numbers are 760, 770, 780, and 790.

Question 9.

160, 170, _180_, __190, _200_, _210__, _220__

Answer:

The missing numbers are 180, 190, 200, 210, 220.

Explanation:

In the above-given figure,

given that,

the missing numbers are 180, 190, 200, 210, 220.

Count by hundreds.

Question 10.

200, 300, _400_, _500_, 600__, __700_,

Answer:

The missing numbers are 400, 500, 600, and 700.

Explanation:

In the above-given figure,

given that,

the missing numbers are 400, 500, 600, and 700.

Question 11.

**THINK SMARTER** Martin starts at 300 and counts by fives to 420. What are the last 6 numbers Martin will say?

_395_, _400_, _405_, __410_, _415_, _420.__

Question 12.

The book fair has 390 books. They have 5 more boxes with 10 books in each box. Count by tens. How many books are at the book fair.

__ books.

**Problem Solving • Applications**

Question 13.

Lisa counts by fives. She starts at 120 and stops at 175. Which of these numbers will she say? Circle them.

Answer:

The numbers are 135, 151, 155, 170.

Explanation:

In the above-given figure,

given that,

Lisa counts by five. she starts at 120 and stops at 175.

The numbers are 135, 151, 155, 170.

Question 14.

George counts by tens. He starts at 750 and stops at 830. Which of these numbers will he say? Circle them.

Answer:

The numbers are 755, 760, 780, 795, 810.

Explanation:

In the above-given figure,

given that,

Lisa counts by five. she starts at 750 and stops at 830.

The numbers are 755, 760, 780, 795, 810.

Question 15.

**THINK SMARTER**

Carl counts by hundreds. Which of these show ways that Carl could count? Choose Yes or No for each.

Answer:

100, 200, 300, 400, and 500.

500, 600, 700, 800, and 900.

Explanation:

In the above-given figure,

Given that,

Carl counts by hundreds.

100, 200, 300, 400, and 500.

500, 600, 700, 800, and 900

Counting Patterns Within 1,000 Homework & Practice 1.9

Count by fives.

Question 1.

415, 420, _425_, _430_, _435__, _440_

Answer:

The missing numbers are 425, 430, 435, and 440.

Explanation:

In the above-given figure,

given that,

the missing numbers are 425, 430, 435, and 440.

Question 2.

675, 680, _685_, _690_, _695__, _700_, _705_

Answer:

The missing numbers are 685, 690, 695, 700, 705.

Explanation:

In the above-given figure,

given that,

the missing numbers are 685, 690, 695, 700, 705.

Count by tens.

Question 3.

210, 220, _225_, _230_, _235__, _240_, _245_

Answer:

The missing numbers are 225, 230, 230, 235, 240, and 245.

Explanation:

In the above-given figure,

given that,

the missing numbers are 225, 230, 230, 235, 240, and 245.

Count by hundreds.

Question 4.

300, 400, _500_, _600_, _700__, _800_, _900_

Answer:

The missing numbers are 500, 600, 700, 800, and 900.

Explanation:

In the above-given figure,

given that,

the missing numbers are 500, 600, 700, 800, and 900.

Count back by ones.

Question 5.

953, 952, __, __, ___, __, __

Answer:

The missing numbers are 951, 950, 949, 948, and 947.

Explanation:

In the above-given figure,

given that,

the missing numbers are 951, 950, 949, 948, and 947.

Problem Solving

Question 6.

Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?

__, __, ___, __, __

Answer:

The numbers 50.

Explanation:

In the above-given figure,

given that,

Lee has a jar of 100 pennies.

The numbers are 50.

Question 7.

**WRITE Math**

Count by fives from 135 to 175. Write these numbers and describe the pattern.

______________________________

______________________________

Answer:

The numbers are 135, 140, 145, 150, 155, 160, 165, 170, 175.

Explanation:

In the above-given figure,

given that,

the numbers are 135, 140, 145, 150, 155, 160, 165, 170, and 175.

**Lesson Check**

Question 1.

Count by tens.

160, _170_, _180_, _190_, __200_

Answer:

The missing numbers are 170, 180, 190, and 200.

Explanation:

In the above-given figure,

given that,

the missing numbers are 170, 180, 190, and 200.

Question 2.

Count by hundreds.

400, _500_, _600_, _700_, _800__

Answer:

The missing numbers are 500, 600, 700, and 800.

Explanation:

In the above-given figure,

given that,

the missing numbers are 500, 600, 700, and 800.

**Spiral Review**

Question 3.

Count by fives.

245, _250_, __255, _260_, _265.__

Answer:

The missing numbers are 250, 255, 260, and 265.

Explanation:

In the above-given figure,

given that,

the missing numbers are 250, 255, 260, 265.

Question 4.

Count back by ones.

71, _70_, _69_, _68_, _67__

Answer:

The missing numbers are 70, 69, 68, and 67.

Explanation:

In the above-given figure,

given that,

the missing numbers are 70, 69, 68, and 67.

Question 5.

Describe 45 in another way.

__4 tens _5_ ones.

Answer:

The number is 45.

40 + 5 = 45

Explanation:

In the above-given figure,

given that

5 one and 4 tens.

so the value is 45.

Question 6.

Describe 7 tens 9 ones in another way.

__seventynine_________

Answer:

The number is 79.

70 + 9 = 79

Explanation:

In the above-given figure,

given that

9 one and 7 tens.

so the value is 79.

### Number Concepts Review Test

**Chapter 1 Review/Test**

Question 1.

Does the ten frame show an even number? Choose Yes or No.

Answer:

5 + 5 = 10

4 + 3 = 7

Explanation:

In the above-given figure,

given that

10 = 5 + 5

4 + 3 = 7.

10 is an even number.

7 is an odd number.

Question 2.

Write an even number between 7 and 16. Draw a picture and then write a sentence to explain why it is an odd number.

Question 3.

What is the value of the digit 5 in the number 75?

Answer:

The value of the digit 5 in the number 75 is ones.

Explanation:

In the above-given figure,

given that,

the value of the digit 5 in the number 75 is ones.

Question 4.

**GO DEEPER**

Ted has an even number of yellow markers and an odd number of green markers. Choose all the groups of markers that could belong to Ted.

Answer:

8 yellow markers and 3 green markers.

6 yellow markers and 7 green markers.

Explanation:

In the above-given figure,

Given that,

Ted has an even number of yellow markers and an odd number of green markers.

8 yellow markers and 3 green markers.

3 yellow markers and 6 green markers.

4 yellow markers and 2 green markers.

6 yellow markers and 7 green markers.

Question 5.

Jeff starts at 190 and counts by tens. What are the next 6 numbers Jeff will say?

190, 200__, _210_, _220_, _230__, _240_, __250_

Answer:

The missing numbers are 200, 210, 220, 230, 240, and 250.

Explanation:

In the above-given figure,

given that,

the missing numbers are 200, 210, 220, 230, 240, and 250.

Question 6.

Megan counts by ones to 10. Lee counts by fives to 20. Who will say more numbers? Explain.

______________________________

______________________________

______________________________

Answer:

Megan count more numbers than lee.

Explanation:

In the above-given question,

Megan count by ones to 10.

1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Lee count by fives to 20.

5, 10, 15, and 20.

Question 7.

Draw a picture to show the number 43.

Answer:

The number is 43.

Explanation:

In the above-given question,

given that 43.

4 in the tens place and 3 in one’s place.

Describe the number 43 in two ways.

Answer:

The number is 43.

40 + 3 = 43

Explanation:

In the above-given question,

given that 43.

4 in the tens place and 3 in one’s place.

40 + 3 = 43.

Question 8.

Jo lives on Maple Road. Her address has the digit 2 in the ones place and the digit 4 in the tens place. What is Jo’s address?

__42__ Maple Road

Answer:

The number is 42.

40 + 2 = 42

Explanation:

In the above-given question,

given that 42.

4 in the tens place and 2 in one’s place.

40 + 2 = 42.

Question 9.

Do the numbers show counting by fives? Choose Yes or No.

Answer:

70, 75, 80, 85, and 90.

35, 40, 45, 50, and 55.

Explanation:

In the above-given figure,

given that,

Numbers show counting by 5.

70, 75, 80, 85, and 90.

35, 40, 45, 50, and 55.

Question 10.

**THINK SMARTER**

Mrs. Payne needs 35 notepads. She can buy them in packs of 10 notepads or as single pads. What are all the different ways Mrs. Payne

can buy the notepads? Find a pattern to solve.

Answer:

The number is 35.

Explanation:

In the above-given figure,

given that

5 one and 3 tens.

so the value is 35.

Question 11.

Ann has a favorite number. It has a digit less than 4 in the tens place. It has a digit greater than 6 in the ones place. Could the number be Ann’s number? Choose Yes or No.

Write another number that could be Ann’s favourite.

Answer:

30 + 9 = 39

2 tens 8 ones.

Explanation:

In the above-given figure,

given that,

Ann has a favorite number.

It has a digit less than 4 in the tens place.

It has a digit greater than 6 in one place.

Yes, the number be ann’s number.