Identities and Inverses
Additive Identity: what you can add to any number and not change that number
Multiplicative Identity: what you can multiply by any number and not change that number
Additive Inverse: what you can add to a number to get back to the identity
Multiplicative Inverse: what you can multiply by a number to get back to the identity
Ex. 2 Find the additive and multiplicative inverse for each number.
a) 1.25
1
b) 22
Properties true for addition and multiplication of real numbers.
Commutative
5+2=2+5
2x5=5x2
Associative
(2+5)+3=2+(5+3)
2 ( 5 x 3 ) = (2 x 5) x 3
Closure
Real + real = real
Distributive
2(3 + 5) = 2(3) + 2(5)
real x real = real