Additive Identity: value that sums with any number a resulting in a value of a
*Zero is the additive identity
Multiplicative Identity: multiplication of a and some number resulting in a product of a
*One is the multiplicative identity
Multiplicative Property of Zero: product of any number and zero is zero
Multiplicative Inverses (aka reciprocals) Property: two numbers whose product is 1
Transitive and Substitution are very similar, so remember:
Transitive has 2 variables
Substitution has 1 variable
Example 1: Name the property used in each equation. Then find the value of n.
A. n*12 = 0
B. n*(1/5) = 1
C. 0 + n = 8
Example 2: Name the property of Equality
A. 2 + 6 = 1 + 7 and 1 + 7 = 8, then 2 + 6 = 8
B. if 9 + 3 = 12, then 12 = 9 + 3
C. if p = 4, then 60 = 6*4
Example 3: Evaluate (1/4)(12-8) + 3(15 / 5 - 2). Name the property used in each step.
Homework: p23 #3, 9-11, 12-28 even, 44, 50, 54, 56