Distributive Property

Front

What is the distributive property in mathematics?

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 (5x2) + (5x5)?

Back

You can factor out the common term: 5(x2 + x5) = 5(2 + 5) = 5(7) = 35.

Front

What is the result of 7 x 6 using the distributive property?

Back

7 x 6 can be calculated as 7 x (3 + 3) = (7 x 3) + (7 x 3) = 21 + 21 = 42.

Front

What is a count by six pattern?

Back

A count by six pattern is a sequence of numbers where each number is six more than the previous one, such as 6, 12, 18, 24, 30.

Front

How can you express 3 x 9 using the distributive property?

Back

3 x 9 can be expressed as (3 x 5) + (3 x 4) = 15 + 12 = 27.

Front

If Mrs. Brown has 12 peaches and puts 2 peaches in each bag, how many bags does she have?

Back

She has 12 / 2 = 6 bags.

Front

What is the first step in using the distributive property?

Back

Identify the common factor in the terms you want to distribute.

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 an example of using the distributive property with variables?

Back

For example, 2(x + 3) = 2x + 6.

Front

How does the distributive property help in simplifying expressions?

Back

It allows you to break down complex expressions into simpler parts, making calculations easier.