Practice the questions of **McGraw Hill Math Grade 4 Answer Key** **PDF Chapter 3 Lesson 6 Associative and Distributive Properties of Multiplication** to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 4 Answer Key Chapter 3 Lesson 6 Associative and Distributive Properties of Multiplication

**Identify the property used in each number sentence.**

Question 1.

(12 × 2) × 2 = 12 × (2 × 2)

__Associative
__Answer:

(12 × 2) × 2 = 12 × (2 × 2) = 48.

Associative property of multiplication.

Explanation:

According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped.

(12 × 2) × 2 = 12 × (2 × 2)

= 12 × 4

= 48.

__Question 2.__

8 × (9 × 3) = (8 × 9) × 3

Answer:

8 × (9 × 3) = (8 × 9) × 3 = 216.

Associative property of multiplication.

Explanation:

According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped.

8 × (9 × 3) = (8 × 9) × 3

= 72 × 3

= 216.

Question 3.

(10 + 2) × 6 = (10 × 6) + (2 × 6)

Answer:

(10 + 2) × 6 = (10 × 6) + (2 × 6) = 72.

Distributive Property of multiplication.

Explanation:

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

(10 + 2) × 6 = (10 × 6) + (2 × 6)

= 60 + 12

= 72.

Question 4.

7 × (3 + 2) = (7 × 3) + (7 × 2)

Answer:

7 × (3 + 2) = (7 × 3) + (7 × 2) = 35.

Distributive Property of multiplication.

Explanation:

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

7 × (3 + 2) = (7 × 3) + (7 × 2)

= 21 + 14

= 35.

**Use the Distributive Property to break the fact into two easier facts.**

Question 5.

12 × 5 = ___

Answer:

12 × 5 = 60.

Explanation:

12 × 5 = (10 + 2) × 5

= (10 × 5) + (2 × 5)

= 50 + 10

= 60.

Question 6.

6 × 9 = ___

Answer:

6 × 9 = 54.

Explanation:

6 × 9 = (4 + 2) × 9

= (4 × 9) + (2 × 9)

= 36 + 18

= 54.