1. Identity and Equality Properties

2. What do you add to get the same?
Identity Properties
1) Additive Identity
What do you add to get the same?
a + 0 = a
2) Multiplicative Identity
What do you mult. to get the same?
a • 1 = a

3. Inverse Properties 1) Additive Inverse (Opposite) a + (-a) = 0
2) Multiplicative Inverse (Reciprocal)

4. Multiplicative Property of Zero
(If you multiply by 0, the answer is 0.)

5. Properties of Equality
1) Reflexive: a = a
5 = 5
2) Symmetric: If a = b then b = a.
If 4 = then = 4.
3) Transitive:If a = b and b = c, then a = c.
If 4 = and = then 4 =
4) Substitution: If a = b, then a can be replaced by b.
(5 + 2)x = 7x

6. Name the Property
1. 0  12 = 0
Multiplicative Prop. Of Zero
2. (10 + 2)  3 = 12  3
Substitution
= 5 then 5 = 2 + 3
Symmetric

7. 4. If 5  2 = 10 & 10 = then  2 = 5 + 5
Transitive
(-6) = 0
Additive Inverse

8. 6. 1  m = m
Multiplicative Identity
7. k + 7 = k + 7
Reflexive
8. x + 0 = x
Additive Identity 9.
Multiplicative Inverse

9. Name the property. 0 + 4 = 4 Additive Identity Additive Inverse
Additive Property of Zero
Substitution
Answer Now

10. Name the property. 8 – (6 + 2) = 8 - 8
Additive Identity
Additive Inverse
Associative
Substitution
Answer Now

11. Name the property. 2 + (x – 3)1 = 2 + (x – 3)
Reflexive
Multiplicative Inverse
Multiplicative Identity
Symmetric
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12. Thanks for coming!