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 don’t 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.) 4x+5=4x+5

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