Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 11.2 Commutative and Associative Properties **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 11.2 Commutative and Associative Properties

**Exercises**

**IDENTIFY**

**Identify which property is represented in the example (Commutative or Associative).**

Question 1.

8 Ã— 4 Ã— 3 = 3 Ã— 4 Ã— 8

Answer:

Commutative property of multiplication

Explanation:

When we multiply the factors by changing the order also,

there is no change in the product.

8 Ã— 4 Ã— 3 = 3 Ã— 4 Ã— 8 => 96

Question 2.

(2 + 9) + 22 = 2 + (9 + 22)

Answer:

Associative property of addition

Explanation:

Grouping the addends by changing the order there is no change in the sum.

(2 + 9) + 22 = 2 + (9 + 22) => 33

Question 3.

3 Ã— 4 + 4 Ã— 2 = 4 Ã— 3 + 2 Ã— 4

Answer:

Commutative property of multiplication

Explanation:

When we multiply the factors by changing the order also there is no change in the product.

3 Ã— 4 + 4 Ã— 2 = 4 Ã— 3 + 2 Ã— 4 => 20

Question 4.

4 Ã— 2 + 3 Ã— 4 = 3 Ã— 4 + 4 Ã— 2

Answer:

Commutative property of addition

Explanation:

When we add the addends by changing the order also there is no change in the sum.

4 Ã— 2 + 3 Ã— 4 = 3 Ã— 4 + 4 Ã— 2 =>20

Question 5.

3 + 2 + 4 = 4 + 2 + 3

Answer:

Commutative property of addition

Explanation:

When we add the addends by changing the order also there is no change in the sum.

3 + 2 + 4 = 4 + 2 + 3 => 9

Question 6.

12 + (7 + 1) = (12 + 7) + 1

Answer:

Associative property of addition

Explanation:

Grouping the addends in any order also there is no change in the sum.

12 + (7 + 1) = (12 + 7) + 1 =>20

Question 7.

(2 + (8 + 6) + 4) = (2 + 8) + (6 + 4)

Answer:

Associative property of addition

Explanation:

Grouping the addends in any order also there is no change in the sum.

(2 + (8 + 6) + 4) = (2 + 8) + (6 + 4) => 20

Question 8.

6 Ã— 4 Ã— 2 = 2 Ã— 4 Ã— 6

Answer:

Commutative property of multiplication

Explanation:

When we multiply the factors by changing the order also there is no change in the product.

6 Ã— 4 Ã— 2 = 2 Ã— 4 Ã— 6 =>48

Question 9.

(8 + 2) + 9 + 14 = 8 + (2 + 9) + 14

Answer:

Associative property of Addition

Explanation:

Grouping the addends in any order also there is no change in the sum.

(8 + 2) + 9 + 14 = 8 + (2 + 9) + 14 =>33

Question 10.

9 Ã— 4 + 27 + 4 Ã— 9 = 4 Ã— 9 + 27 + 9 Ã— 4

Answer:

Commutative property of multiplication

Explanation:

When we multiply the factors by changing the order also there is no change in the product.

9 Ã— 4 + 27 + 4 Ã— 9 = 4 Ã— 9 + 27 + 9 Ã— 4 => 96

Question 11.

7 + 9 + 6 + 4 = 4 + 6 + 9 + 7

Answer:

Commutative property of Addition

Explanation:

When we add the addends by changing the order also there is no change in the sum.

7 + 9 + 6 + 4 = 4 + 6 + 9 + 7 => 26

Question 12.

(9 + 9) + 6 + 9 = 9 + (9 + 6) + 9

Answer:

Associative property of Addition

Explanation:

Grouping the addends in any order also there is no change in the sum.

(9 + 9) + 6 + 9 = 9 + (9 + 6) + 9 => 34

Question 13.

29 + 2 + 1 + 29 = 2 + 1 + 29 + 29

Answer:

Commutative property of Addition:

Explanation:

When we add the addends by changing the order also there is no change in the sum.

29 + 2 + 1 + 29 = 2 + 1 + 29 + 29 => 61

Question 14.

28 + 20 + 28 + 20 = 20 + 20 + 28 + 28

Answer:

Commutative property of Addition

Explanation:

When we add the addends by changing the order also there is no change in the sum.

28 + 20 + 28 + 20 = 20 + 20 + 28 + 28 => 96