All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 2 Associative and Distributive Properties of Multiplication are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 3 Lesson 2 Associative and Distributive Properties of Multiplication
Fill in the missing information. Name the property.
Question 1.
(17 × 5) × 20 = 17 × (5 × 20) = 17 × 100 = 1700
__________________________ Property
Answer:
Associative property.
Explanation:
Given the expression is (17 × 5) × 20 = 17 × (5 × 20) = 17 × 100 = 1700 and the property is Associative property where changing the group of factors does not change the product.
Question 2.
11 × 37 = (______ × 37) + (1 × ______) = 370 + ______ = ______
______ Property
Answer:
Distributive property.
Explanation:
Given the expression is 11 × 37 which is
= (10 × 37) + (1 × 37)
= 370 + 37
= 407.
As distributive property is a property of multiplication states that multiplication can be distributed over addition as well as subtraction.
Question 3.
(51 × 14) + (49 × 14) = (___ + 49) × 14 = ___ × 14 = ___
_________________________ Property
Answer:
Distributive property.
Explanation:
Given the expression is (51 × 14) + (49 × 14) which is
= (51 + 49) × 14
= 100 × 14
= 1400.
As distributive property is a property of multiplication states that multiplication can be distributed over addition as well as subtraction.
Solve.
Question 4.
What multiplication problem does this drawing represent?
______________________
Answer:
The above image represents commutative property. As commutative property means the answer will remain the same when multiplying numbers even if the order of the numbers is changed.
Question 5.
Which multiplication property does this drawing represent?
Answer: