Spectrum Math Grade 6 Chapter 1 Posttest Answer Key

Go through the Spectrum Math Grade 6 Answer Key Chapter 1 Posttest and get the proper assistance needed during your homework.

Spectrum Math Grade 6 Chapter 1 Posttest Answers Key

Rewrite each expression using the Distributive Property.

Question 1.
a. 3 × (5 – 2) = ___
Answer:
Product of 3 × (5 – 2), we get the answer as 9.

Explanation:
Distributive property is used to simplify and solve multiplication equations by distributing the multiplier to each number in the parentheses and then adding those products together to get your answer.
3 × (5 – 2) = (3 × 5) – (3 × 2)
= 15 – 6
= 9.

b. (5 × 2) + (8 × 2) = ____
Answer:
Product of (5 × 2) + (8 × 2), we get the answer as 26.

Explanation:
(5 × 2) + (8 × 2) = 2 × (5 + 8)
= 2 × 13
= 26.

Question 2.
a. 7 × (7 – 4) = ___
Answer:
Product of 7 × (7 – 4), we get the answer as 21.

Explanation:
7 × (7 – 4) = (7 × 7) – (7 × 4)
= 49 – 28
= 21.

b. (7 × 6) – (7 × 3) = ___
Answer:
Product of (7 × 6) – (7 × 3), we get the answer as 21.

Explanation:
(7 × 6) – (7 × 3) = 7 × (6 – 3)
= 7 × 3
= 21.

Question 3.
a. 3 × (8 + 2) = ____
Answer:
Product of 3 × (8 + 2), we get the answer as 30.

Explanation:
3 × (8 + 2) = (3 × 8) + (3 × 2)
= 24 + 6
= 30.

b. 5 × (9 – 4) = ____
Answer:
Product of 5 × (9 – 4), we get the answer as 25.

Explanation:
5 × (9 – 4) = (5 × 9) – (5 × 4)
= 45 – 20
= 25.

Find the Greatest Common Factor of each set of numbers.

Question 4.
a. 40, 4 ____
Answer:
Greatest Common Factor of 40,4: 4.

Explanation:
Factors of 40:                                 Factors of 4:
1,2,4,10,20,40.                                 1,2,4.

b. 30, 12 ____
Answer:
Greatest Common Factor of 30,12: 6.

Explanation:
Factors of 30:                                 Factors of 12:
1,2,3,5,6,10,15,30.                            1,2,3,4,6,12.

c. 4, 10 ____
Answer:
Greatest Common Factor of 4,10: 2.

Explanation:
Factors of 4:                                 Factors of 10:
1,2,4.                                             1,2,5,10.

Question 5.
a. 20, 24 ____
Answer:
Greatest Common Factor of 20,24: 4.

Explanation:
Factors of 20:                                 Factors of 24:
1,2,4,5,10,20.                                   1,2,3,4,6,8,12,24.

b. 3, 10 ____
Answer:
Greatest Common Factor of 3,10: 1.

Explanation:
Factors of 3:                                 Factors of 10:
1,3.                                                1,2,5,10.

c. 24, 2 ____
Answer:
Greatest Common Factor of 24, 2: 2.

Explanation:
Factors of 24:                                 Factors of 2:
1,2,3,4,6,8,12,24.                              1,2.

Find the Least Common Multiple of each set of numbers.

Question 6.
a. 30, 15 ____
Answer:
Least Common Multiple of 30, 15: 30.

Explanation:
Multiple of 30:
30, 60, 90, 120, 150, 180, 210, 240, 270, 300.
Multiple of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150.

b. 15, 5 ____
Answer:
Least Common Multiple of 15, 5: 15.

Explanation:
Multiple of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150.
Multiple of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

c. 20, 4 ____
Answer:
Least Common Multiple of 20, 4: 20.

Explanation:
Multiple of 20:
20, 40, 60, 80, 100, 120, 140, 160, 180, 200.
Multiple of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40.

Question 7.
a. 5, 12, 10 ____
Answer:
Least Common Multiple of 5, 12, 10: 60.

Explanation:
Multiple of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
Multiple of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
Multiple of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.

b. 3, 8 ____
Answer:
Least Common Multiple of 3, 8: 24.

Explanation:
Multiple of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30.
Multiple of 8:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80.

c. 40, 3, 24 ____
Answer:
Least Common Multiple of 40, 3, 24: 120.

Explanation:
Multiple of 40:
40, 80, 120, 160, 200, 240, 280, 320, 360, 400.
Multiple of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120.
Multiple of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240.

Understanding the Number System and Operations

Multiply or divide.

Question 8.
a.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 1
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-8a

Explanation:
213 × 362 = ???
=> Multiplying 213 by 362, we get the product 77,106.

b.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 2
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-8b

Explanation:
248 × 231 = ???
=> Multiplying 248 by 231, we get the product 57,288.

c.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 3
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-8c

Explanation:
2851 × 261 = ???
=> Multiplying 2951 by 261, we get the product 7,44,111.

d.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 4
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-8d

Explanation:
3732 × 531 = ????
=> Multiplying 3732 by 531, we get the product 19,81,692.

Question 9.
a.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 5
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-9a

Explanation:
6308 ÷ 76 = ??
=> Dividing 6308 by 76, we get 83 as quotient and 0 as remainder.

b.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 6
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-9b

Explanation:
8329 ÷ 45 = ???
=> Dividing 8329 by 45, we get 185 as quotient and 4 as remainder.

c.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 7
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-9c

Explanation:
45702 ÷ 26 = ???
=> Dividing 45702 by 26, we get 1757 as quotient and 20 as remainder.

d.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 8
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-9d

Explanation:
99588 ÷ 86 = ???
=> Dividing 99588 by 86, we get 1158 as quotient and 0 as remainder.

Question 10.
a.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 9
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-10a

Explanation:
365.3 × 5.2 = ??
=> Multiplying 365.3 by 5.2, we get the product 1899.56.

b.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 10
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-10b

Explanation:
0.76 × 0.53 = ????
=> Multiplying  0.76 by 0.53, we get the product 0.4028.

c.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 11
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-10c

Explanation:
$67.45 × 23 = $???
=> Multiplying $67.45 by 23, we get the product $1551.35.

d.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 12
Answer:
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-10d

Explanation:
4.26 × 7.62 = ????
=> Multiplying 4.26 by 7.62, we get the product 32.4612 .

Question 11.
a.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 13
Answer:
Dividing 78 by 0.6, we get 130 as quotient and 0 as remainder.

Explanation:
78 ÷ 0.6 = ???
=> 78 ÷ 0.6 = (78 ÷ 0.6) × (10 ÷ 10)
=> 78 ÷ 0.6 = 780 ÷ 6
=> 78 ÷ 0.6 = 130.

b.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 14
Answer:
Dividing 738 by 0.09, we get 8200 as quotient and 0 as remainder.

Explanation:
738 ÷ 0.09 = ????
=> 738 ÷ 0.09 = (738 ÷ 0.09) × (100 ÷ 100)
=> 738 ÷ 0.09 = 73800 ÷ 9
=> 738 ÷ 0.09 = 8200.

c.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 15
Answer:
Dividing 50.4 by 0.07, we get 720 as quotient and 0 as remainder.

Explanation:
50.4 ÷ 0.07 = ???
=> 50.4 ÷ 0.07 =  (50.4 ÷ 0.07) × (100 ÷ 100)
=> 50.4 ÷ 0.07 =  5040 ÷ 7
=> 50.4 ÷ 0.07 = 720.

d.
Spectrum Math Grade 6 Chapter 1 Posttest Answer Key 16
Answer:
Dividing $13.50 by 18, we get 0.75 as quotient and 0 as remainder.

Explanation:
$13.50 × 18 = $???
Spectrum-Math-Grade-6-Chapter-1-Posttest-Answers-Key-Multiply or divide-11d

Solve each problem.

Question 12.
A bag of wood chips weighs 12.4 pounds. How much does a bag containing 0.42 times as many wood chips weigh?
The bag weighs ____ pounds.
Answer:
Number of pounds a wood chips weigh = 5.208.
The bag weighs 5.208 pounds.

Explanation:
Number of pounds a of wood chips weighs = 12.4.
Number of times a bag containing as wood chips weigh = 0.42.
Number of pounds a wood chips weigh = Number of pounds a of wood chips weighs × Number of times a bag containing as wood chips weigh
= 12.4 × 0.42
= 5.208.

Question 13.
One comic book costs $2.23. How many comic books can you buy for $71.36?
You can buy ____ comic books.
Answer:
Number of comic books he can buy = 32.
You can buy 32 comic books.

Explanation:
Cost of one comic book = $2.23.
Total cost of amount he has = $71.36.
Number of comic books he can buy = Total cost of amount he has ÷ Cost of one comic book
= $71.36 ÷ $2.23
= 32.

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