MATH 111 Study Guide - Distributive Property, Empty Set, Difference Set

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Base ten system; decimal numeration system position: number: Block = 1000 long = 10 flat = 100. = 2 52 + 3 51 + 4 50 = 69 ie/ convert 11234five to base ten. 50 = 1 51 = 5 52 = 25 53 = 125 54 = 625 [2897] 55 = 3125. Binary = base two numerals: only uses the numbers 0, 1. Math 111 winter 2012 ie/ convert 110101two to base ten. = 53 ie/ convert 37 to base two. 2 ways to describe a set listing method: x = {1, 2, 3, 4 8: set builder notation: x = {x | x where x < 8} ie/ write the following sets using set builder notation. 1. 2. 3 equivalent sets equivalent sets: two sets a and b are equivalent, written a ~ b, if and only if, there exists a one-to-one correspondence between the sets; equivalent equal; equivalent = one-to-one correspondence.