Distributive Property Multiplication Review

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of that number multiplied by each addend. For example, a × (b + c) = (a × b) + (a × c).

Front

Use the Distributive Property to solve: 3 × (4 + 5)

Back

3 × (4 + 5) = (3 × 4) + (3 × 5) = 12 + 15 = 27.

Front

What does it mean to decompose a multiplication problem?

Back

To decompose a multiplication problem means to break it down into simpler parts or smaller factors that can be multiplied separately.

Front

How can you decompose 6 × 7 using the Distributive Property?

Back

6 × 7 can be decomposed as (6 × 5) + (6 × 2) = 30 + 12 = 42.

Front

What is the result of 4 × 8 using the Distributive Property?

Back

4 × 8 can be expressed as (4 × 4) + (4 × 4) = 16 + 16 = 32.

Front

If 5 × 9 = (5 × 5) + (5 × 4), what is the value of 5 × 9?

Back

5 × 9 = 25 + 20 = 45.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that changing the order of the numbers in a multiplication problem does not change the product. For example, a × b = b × a.

Front

How can you show that 2 × 3 = 3 × 2?

Back

Using the Commutative Property: 2 × 3 = 6 and 3 × 2 = 6.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property states that the way in which numbers are grouped in multiplication does not change the product. For example, (a × b) × c = a × (b × c).

Front

Use the Associative Property to solve: (2 × 3) × 4

Back

(2 × 3) × 4 = 6 × 4 = 24.