FNMT-118 Lecture Notes - Lecture 1: Multiplicative Inverse
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10 Sep 2018
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Properties of Algebra
1. Reflexive Property- Something is equal to itself.
Examples: 7=7
-12= -12
2. Commutative Property- sums of products are reversed.
(Does not work with subtraction)
a. Commutative part of addition-
Ex: 7+10=10+7 or
3+8=8+3
b. Commutative part of multiplication-
Ex: 2x11=11x2 or
ab=ba
3. Associative Property- Outside variables pushes itself in and the far inside variable goes out.
Ex: a+(b+c) = (a+b)+c
(m+n)+w = m+(n+w)
4. Distributive Property- Multiplication or a quantity or amount
Ex: 3(a+b) = 3a+3b
7(x+2y-5) = 7x + 14y - 35