Distributive property

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

How can you break apart 9 × 4 using the distributive property?

Back

9 × 4 = (5 × 4) + (4 × 4) = 20 + 16 = 36.

Front

What does it mean to break apart a multiplication problem?

Back

Breaking apart a multiplication problem means to separate it into smaller, easier parts to solve.

Front

Use the distributive property to solve: 3 × 4.

Back

3 × 4 = (3 × 2) + (3 × 2) = 6 + 6 = 12.

Front

Find the missing factor: 2 × 20 = (2 × ___) + (2 × 10).

Back

The missing factor is 10.

Front

Break apart 4 × 5 using the distributive property.

Back

4 × 5 = (4 × 2) + (4 × 3) = 8 + 12 = 20.

Front

What is an example of using the distributive property with addition?

Back

Example: 6 × (2 + 3) = (6 × 2) + (6 × 3) = 12 + 18 = 30.

Front

How can you check your work when using the distributive property?

Back

You can check your work by adding the results of the distributed parts to see if they equal the original multiplication.

Front

What is the result of (4 × 3) + (4 × 5)?

Back

The result is 12 + 20 = 32.

Front

If you have 3 × 4, how can you express it using the distributive property?

Back

3 × 4 can be expressed as (3 × 2) + (3 × 2).