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Properties of Real Numbers

Word Meaning ExampleAdditive Identity The sum of any number and zero

is the same number.

Additive Inverse 7 + (-7) = 0

The product of any number and 1

is that number.17 x 1 = 17

The product of any number and

zero is zero.5 x 0 = 0

A number and its reciprocal; they

multiply to equal 1.¼ x 4 = 1

The flip of a fraction ¼ 4

Commutative Property 6 x 3 = 3 x 6

Associative Property Parentheses move (groupings

change) but the answer does not

(addition and multiplication) 5 + (2 + x) = (5 + 2) + x

Distributive Property multiplying a term outside

parenthesis to a group of terms

inside the parenthesis

number multiplied to a variable;

it tells you how manyIn the expression 7x the

7 is an example of this

Simplest Form when an expression has no more

like terms or parentheses

Like Terms 5x and 12x

A number without a variable 7

Variable y

Expression operations with terms without an

equal sign