Distributive Property (3rd Grade Multiplication)

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 do you use the Distributive Property with multiplication?

Back

You can break down a multiplication problem into smaller parts. For example, 3x(4+5) can be solved as (3x4) + (3x5).

Front

What is 3x9 using the Distributive Property?

Back

(3x4) + (3x5) = 12 + 15 = 27.

Front

What is 5x7 using the Distributive Property?

Back

(5x5) + (5x2) = 25 + 10 = 35.

Front

Solve: (3x6) + (3x3)

Back

27.

Front

Why do we use the Distributive Property?

Back

Because it breaks down the problem to make it easier to solve.

Front

Find the original multiplication problem: (5x4) + (5x3) = 20 + 15 = ?

Back

5x7.

Front

What does it mean to 'distribute' in math?

Back

To distribute means to multiply each term inside a parenthesis by the term outside.

Front

If a = 2, b = 3, and c = 4, what is a(b + c) using the Distributive Property?

Back

2(3 + 4) = 2x3 + 2x4 = 6 + 8 = 14.

Front

What is the result of 4x(2 + 3) using the Distributive Property?

Back

4x2 + 4x3 = 8 + 12 = 20.