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Algebra Properties

Additive Identity When you add 0, Example: 6+0=6
Multiplicative Identity When you Multiply by 1, Example: 5(1)= 5
Multiplicative property of zero When you Multiply by 0. Example: 9(0)= 0
Multiplicative Inverse When you multiply fractions and they equal 1, (reciprocal being multiplied =1) Example: (5/3)(3/5)=1
Reflexive When both things on each side of the equal sign are EXACTLY the SAME. Example: 2+3 = 2+3
Substitution When math is done to simplify a math expression. Example: 2(6+3) = 2(9)
Synmmetric IF the 1st is equal to the 2nd THEN the 2nd is equal to the 1st. Example: IF 6+3 = 9 THEN 9 = 6+3
Transitive If the 1st is equal to the 2nd AND the 2nd is equal to the 3rd THEN the 1st is equal to the 3rd. Example: IF 4+2=6, AND 6=2(3), THEN 4+2=2(3)
Commutative Property When the order that add or multiply does not change answer. Hint Stuff changes Order Examples: 2+3 = 3+2, OR 5(4) = 4(5) OR (4+5)+2 = (5+4)+2
Associative Property When the way numbers are grouped does not change the sum or product. Hint (braces) change places Examples: (2+3)+4 = 2+(3+4) OR (4*5)*2 = 4*(5*2)
Distributive Property When you multiply each part of the stuff in the parenthesis by what is on out side of parenthesis. Examples: 2(3+4) = 2(3) +2(4) = 6 + 8 = 14 OR 6(x+3) = 6(x) +6(3) = 6x + 18
Additive Inverse When two numbers are add or subtracted and they equal zero, Example: 5+(-5)=0, OR 6-6=0
Created by: nicholas.swaldo