###
natural numbers

all positive integers; also called counting numbers

###
whole numbers

all positive integers and 0

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integers

positive, negative, and 0

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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

a+b=b+a

You can change order without changing answer

###
Associative of Addition or Multiplication

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

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

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Multiplicative Inverse

When two reciprocals multiply, the product is zero

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term

the parts of an expression separated by zero

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