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.