Unit 5 Properties

Front

Commutative Property of Addition

Back

When adding, you can change the order of the addends.

a + b = b + a

Front

Commutative Property of Multiplication

Back

When multiplying, you can change the order of the factors.

ab = ba

Front

Associative Property of Addition

Back

When adding, you can change the grouping of the addends.

(a + b) + c = a + (b + c)

Front

Associative Property of Multiplication

Back

When multiplying, you can change the grouping of the factors.

(ab)c = a(bc)

Front

Distributive Property

Back

To multiply a sum or difference by a term, multiply each term in the sum or the difference by the term outside the parenthesis.

a(b + c) = ab + ac

or

a(b - c) = ab - ac

Front

Identity Property of Addition

Back

Adding zero to any number gives a sum that equals the given number.

a + 0 = a

Front

Identity Property of Multiplication

Back

Multiplying one by any number gives a product that equals the original number.

a x 1 = a

Front

Zero Property of Multiplication

Back

Multiplying by zero gives a product equal to zero.

a x 0 = 0

Front

Inverse Property of Addition

Back

The sum of two opposites equals zero.

a + (-a) = 0

Front

Inverse Property of Multiplication

Back

The product equals one when you multiply by the reciprocal.

a x 1/a = 1