# 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