Surviving College Algebra
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"When all you want is the grade"
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Properties of Addition and Multiplication
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Let a,b, and c be any numbers.
Commutative: a + b = b + a
Example 3 + 4 = 4 + 3
7 = 7
Associative: (a + b) + c = a + (b + c)
Example (2 + 4) + 1 = 2 + (4 + 1)
6 + 1 = 2 + 5
7 = 7
The distributive property is the one most commonly used.
Distributive: a (b + c) = a b + a c
Example 3 (4 + 1) = 3(4) + 3(1)
3(5) = 12 + 3
15 = 15