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# Spencer Properties

### ALGEBRAIC PROPERTIES

4(0)=0 Zero Factor Law
4(1)=1 Multiplicative Identity
4(0)=0 Multiplicative Property of Zero
2(x+4) = 2x+8 Distributive Property
2(3) = 3(2) or 2+3 = 3+2 Commutative Property
(1x2)3 = 1(2x3) Associative Property
Additive Inverse 5 + -5 = 0
Multiplicative Inverse 5 times (1/5) = 1
Reciprocal Numbers Multiplicative Inverse
0(9) = 0 multiplicative property of zero
18=18 Reflexive Property
x=3 so 3=x symmetric property
x+y=17 and y=10 so x+10=17 substitution property
3+9 = 18 and 10+8 = 18 so 3+9=10+8. transitive property
-2=-2 reflexive property
x=3 so 5x = 5(3) substitution property