3rd Grade - Properties of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

Provide an example of the Distributive Property using numbers.

Back

For example, 2 × (10 + 5) = (2 × 10) + (2 × 5) = 20 + 10 = 30.

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, i.e., (a × b) × c = a × (b × c).

Front

Rewrite the expression 9 x (6 x 5) using the Associative Property.

Back

(9 x 6) x 5.

Front

According to the Distributive Property, how can you express 12 x 6?

Back

12 x 6 can be expressed as (10 x 6) + (2 x 6).

Front

Which equation demonstrates the Associative Property?

Back

3 x (2 x 7) = (3 x 2) x 7.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property states that changing the order of the factors does not change the product, i.e., a × b = b × a.

Front

Provide an example of the Commutative Property using numbers.

Back

For example, 4 × 5 = 5 × 4 = 20.

Front

How does the Distributive Property help in solving multiplication problems?

Back

It allows you to break down complex multiplication into simpler parts, making calculations easier.

Front

What is the relationship between the Associative and Commutative Properties?

Back

Both properties help in rearranging factors in multiplication, but the Associative Property deals with grouping while the Commutative Property deals with order.