Algebra ll Real Numbers

N

natural numbers (1,2,3)

W

whole numbers (0,1,2,3)

Z

integers (-2,-1,0,1,2)

Q

rational (all numbers plus decimal values)

I

irrational (pie/decimals that dont end)

R

real numbers (all numbers listed)

Commutative Property

you can swap the numbers place when adding or multiplying Ex.) 3 times x=x times 3

Associative Property

can switch the parentheses place but not the numbers Ex.) (3+5)+7=3+(5+7)

Additive Identity Property

Adding a zero to a number to keep it the same Ex.) 3a+0=3a

Additive Inverse Property

Trying to add to get to zero Ex.) -5+5=0

Multiplicative Identity

Multiplying a number by 1 to leave it unchanged Ex.) 15x(1)=15x

Multiplicative Inverse

When you multiply a number by its opposite to get 1 Ex.) 5y(1/5y)=1

Reflexive Property

When you keep the equation the same without changing it Ex.) 4+7=4+7

Distributive Property

Distributing a number or letter to a group that's added or subtracted together Ex.) 2(r+w)= 2r+2w

Closure Property

Ex.) a+b is a real number