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Additve Identity Property

n + 0 = 0 + n = n

Additive Identity Property

The sum of a number and 0 is the original number

Multiplicative Identity Property

n x 1 = 1 x n = n

Multiplicative Identity Property

The product of a number and 1 is the original number

Additive Inverse Property

n + (-n) = 0

Additive Inverse Property

The sum of a number and its opposite is 0

Multiplicative Inverse Property

n x 1/n = 1 (n =/= 0)

Multiplicative Inverse Property

The product of a nonzero number and its reciprocal is 1

Closure Property

a + b E R

Closure Property

The sum or product of any two real numbers is a real number

Commutative Property

a + b = b + a

ab = ba

ab = ba

Commutative Property

You can add or multiply real numbers in any order without changing the result

Associative Property

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

(ab)c = a(bc)

(ab)c = a(bc)

Associative Property

The sum or product of three or more real numbers is the same regardless of the way the numbers are grouped

Distributive Property

a(b + c) = ab + ac

(b + c)a = ba + ca

(b + c)a = ba + ca

Distributive Property

When you multiply a sum by a number, the result is the same whether you add and then multiply or whether you multiply each term by the number and then add the products

Natural Numbers

1, 2, 3...

Natural Numbers

N

Whole Numbers

0, 1, 2...

Whole Numbers

W

Integers

...-1, 0, 1...

Integers

Z

Rational Numbers

0.5, 2/3, etc.

Rational Numbers

Q

Irrational Numbers

e, sqr2, pi, etc.

Real Numbers

R