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

What is an example of the Distributive Property?

Back

For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What does it mean to factor an expression using the Distributive Property?

Back

Factoring an expression means rewriting it as a product of its factors. For example, 12 + 15 can be factored as 3(4 + 5).

Front

How can the Distributive Property help in simplifying expressions?

Back

It helps in breaking down complex expressions into simpler parts, making calculations easier.

Front

What is the equivalent expression for 5(2 + 3)?

Back

5(2 + 3) = 5*2 + 5*3 = 10 + 15 = 25.

Front

If you have 4(6 + 2), what is the result?

Back

4(6 + 2) = 4*6 + 4*2 = 24 + 8 = 32.

Front

What is the relationship between the Distributive Property and multiplication?

Back

The Distributive Property shows how multiplication distributes over addition, allowing for easier calculations.

Front

How can you express 36 + 42 using the Distributive Property?

Back

You can express it as 6(6 + 7) using the GCF.

Front

What expression represents 6 identical gift bags with 1 gift card, 2 packages of beef jerky, and 5 chocolates each?

Back

The expression is 6(1 + 2 + 5).

Front

What is the result of 12(3 + 4)?

Back

12(3 + 4) = 12*3 + 12*4 = 36 + 48.