Chapter 4-7 "Distributive Property"

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you apply the Distributive Property to the expression 81 x 6?

Back

You can break down 81 into 80 + 1, then apply the Distributive Property: 81 x 6 = (80 x 6) + (1 x 6) = 480 + 6 = 486.

Front

Write an equation using the Distributive Property for 89 x 3.

Back

(80 x 3) + (9 x 3) shows the application of the Distributive Property for 89 x 3.

Front

What is the result of using the Distributive Property on 8 x 32?

Back

Using the Distributive Property, you can express 8 x 32 as (8 x 30) + (8 x 2) = 240 + 16 = 256.

Front

How can you express 5 x 93 using the Distributive Property?

Back

You can express it as (5 x 90) + (5 x 3) = 450 + 15 = 465.

Front

What is an example of using the Distributive Property with variables?

Back

For example, a(b + c) = ab + ac, where a, b, and c are variables.

Front

What is the first step in applying the Distributive Property?

Back

Identify the term outside the parentheses and the terms inside the parentheses.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to subtraction as well: a(b - c) = ab - ac.

Front

What is the importance of the Distributive Property in algebra?

Back

It simplifies expressions and helps in solving equations by breaking down complex problems into simpler parts.

Front

How do you verify the result of a Distributive Property calculation?

Back

You can verify by calculating both sides of the equation to ensure they are equal.