Distributive Property-Whole Numbers

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 express 12 + 42 using the Distributive Property?

Back

12 + 42 can be expressed as 6(2 + 7).

Front

What is an equivalent expression for 27 + 9?

Back

27 + 9 can be expressed as 9(3 + 1).

Front

Use the Distributive Property to rewrite 10 + 35.

Back

10 + 35 can be rewritten as 5(2 + 7).

Front

Is 56 + 84 equivalent to 28(2 + 3)?

Back

TRUE, 56 + 84 is equivalent to 28(2 + 3).

Front

How can you rewrite 14 + 35 using the Distributive Property?

Back

14 + 35 can be rewritten as 7(2 + 5).

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often using the Distributive Property.

Front

If a + b = c, what is the equivalent expression using the Distributive Property?

Back

a + b can be expressed as 1(a + b) or any other factor multiplied by the sum.

Front

What is the first step in using the Distributive Property?

Back

Identify the common factor in the terms of the expression.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be used with subtraction, e.g., a(b - c) = ab - ac.