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Math 1010-005 Worksheet #2 Due 06/09/06 Name: ___________________________ The purpose of the following exercises is to gain experience with the rules of arithmetic precedence (also known as order of operations - see page 17 of your text). Evaluate each expression at the values given. Write your answers as decimal numbers with at least 4 digits (like 1.234, or 123.4). You may use a calculator. ! 1.) Let a = 10, b = 3, c = 13. 4.) Let a = 2.9, b = 4.7, c = 6.1, d = 8.3. a " b /c = __________ a " b /c " d = __________ ! ! (a " b) /c = __________ ! ! 2.) Let r = 7. ! 4 / " # r = __________ ! ! a " (b /c " d) = __________ ! a " b /(c " d) = __________ ! 4 /(" # r) = __________ 5.) Let r = 2.3. ! ! 4 / " # r = __________ 3.) Let a = 2.5, b = 4.9, c = 7.3. ! ! a " b /c = __________ ! ! ! ! (a " b) /(c " d) = __________ 4 /(" # r) = __________ ! ! ! (a " b) /c = __________ ! ! ! ! 6.) Recall the properties of real numbers that we discussed in class (see page 23 of your text). For each pair of algebraic expressions listed below, enter a T (true) in the blank if the expressions are equal, and enter an F (false) otherwise. a + b _____ b + a a + b 2 _____(a + b) 2 a + b + c _____ a + (b + c) a 2 + b 2 _____(a + b) 2 a " b " c _____ a " (b " c) a " b " c _____ a " (b " c) a # (b + c) _____ a # b + a # c a /b /c _____ a /(b /c) 1/(a + b) _____1/a + a /b 1/a /a _____1/(a " a) ! 7.) Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. ! ! _____ " # 3.1416 _____" 2 # "2.5 # "3 _____$ 2 # $2.5 # $3 _____"1 < "8 8.) Enter the appropriate symbol <,!=, or > below. 3_____"1 x 2 _____ | x |2 "2 _____"1 3(x + 1) _____ 3x + 3 x _____ x + 1 "1_____ | x | ! below with the letters labeling their equivalent 9.) Match the verbal statements given inequalities. _____ x is less than -7 A. "7 < x _____ The distance from x to -7 is less than or equal to 2 B. x " #7 _____ x is greater than -7 _____ The distance from x to -7 is more than 2 ! C. x < "7 ! D. | x + 7 |" 2 ! E. | x + 7 |> 2 ! !