95 CHAPTER R Test Prep New Symbols Quick Review Concepts Examples Perform the operations. 1 4 # 10 7 = 10 28 = 5 # 2 14 # 2 = 5 14 25 7 , 5 14 = 25 7 # 14 5 = 5 # 5 # 2 # 7 7 # 5 = 10 5 12 + 3 8 = 5 12 # 2 2 + 3 8 # 3 3 = 10 24 + 9 24 = 19 24 53%= 53 100 = 0.53 R.1 Fractions, Decimals, and Percents Operations If a b and c d are fractions 1b≠0, d≠02, then multiply or divide as follows. a b ~ c d = a ~ c b ~ d a b ÷ c d = a b ~ d c 1 c 302 If a b and c b are fractions 1b≠02, then add or subtract as follows. a b t c b = a tc b Percent, Fraction, and Decimal Equivalents 1%= 1 100 =0.01, 10%= 10 100 =0.10, 100%= 100 100 =1 R.2 Sets and Real Numbers Set Operations For all sets A and B, with universal set U: The complement of set A is the set A′ of all elements in U that do not belong to set A. A′ = 5x∣ x{U, xoA6 The intersection of sets A and B, written A¨B, is made up of all the elements belonging to both set A and set B. A∩B = 5x∣ x{A and x{B6 Let U= 51, 2, 3, 4, 5, 66, A = 51, 2, 3, 46, and B = 53, 4, 66. A′ = 55, 66 A¨B = 53, 46 0.6 bar notation that signifies repeating digit(s) % percent 5 6 set braces { is an element of o is not an element of 5 x∣ x has property p6 set-builder notation U universal set ∅ empty (null) set # is a subset of s is not a subset of A′ complement of a set A (read “A-prime”) ∩ set intersection ∪ set union 3 is not equal to * is less than + is greater than " is less than or equal to # is greater than or equal to 0 a0 absolute value of a an n factors of a !n radical symbol with index n
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