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 across the terms in the parentheses.

Front

Use the Distributive Property to simplify: 2(3 + 4)

Back

2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What is an example of the Distributive Property?

Back

3(w + 4) = 3w + 12 is an example of the Distributive Property.

Front

If you have 5(a + 6), what is the simplified expression?

Back

5(a + 6) = 5a + 30.

Front

How do you express the total commission earned if you make $70 on day 1 and $80 on day 2, doubled?

Back

The expression is 2(70 + 80).

Front

What does the expression ½(8x + 2) simplify to?

Back

½(8x + 2) = 4x + 1.

Front

What is the result of applying the Distributive Property to 5(20 + 15)?

Back

5(20 + 15) = 5*20 + 5*15 = 100 + 75 = 175.

Front

What is the purpose of the Distributive Property in mathematics?

Back

The Distributive Property helps simplify expressions and solve equations by allowing multiplication over addition or subtraction.

Front

If you have the expression 4(2 + 3), what is the simplified result?

Back

4(2 + 3) = 4*2 + 4*3 = 8 + 12 = 20.

Front

What is the difference between the Distributive Property and the Associative Property?

Back

The Distributive Property involves multiplying a single term by a sum, while the Associative Property involves grouping numbers in addition or multiplication.