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natural numbers

all positive integers; also called counting numbers

whole numbers

all positive integers and 0


positive, negative, and 0

rational numbers

any number that can be expressed as a fraction

real numbers

any number except for the root of a negative

Commutative of Addition or Multiplication

You can change order without changing answer

Associative of Addition or Multiplication

You can change grouping symbols without changing answer

Additive Identity

The sum of zero and any number is the number

Additive Identity

The sum of any number and its opposite is zero

Multiplicative Identity

You can multiply any number by 1 and get the number

Multiplicative of 0

a times 0=0

Multiplicative of -1

a times -1=-a

Multiplicative Inverse

When two reciprocals multiply, the product is zero


the parts of an expression separated by zero

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