Properties of Operations

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

Simplify the expression: 3(2 + 4)

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

Front

Simplify the expression: (5 + 3) + 2

Back

(5 + 3) + 2 = 8 + 2 = 10.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

Front

Simplify the expression: 7 + 4

Back

7 + 4 = 11.

Front

What is the Inverse Property of Addition?

Back

The Inverse Property of Addition states that for every number a, there is a number -a such that a + (-a) = 0.

Front

What is the Distributive Property in action?

Back

For example, 4(x + 2) = 4x + 8.

Front

Simplify the expression: 2(3 + 5)

Back

2(3 + 5) = 2*3 + 2*5 = 6 + 10 = 16.

Front

What is the result of 12(w + 1)?

Back

12(w + 1) = 12w + 12.