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

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## 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
(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
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)
(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)
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 = ___
12 × 5 = 60.

Explanation:
12 × 5 = (10 + 2) × 5
= (10 × 5) + (2 × 5)
= 50 + 10
= 60.

Question 6.
6 × 9 = ___