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.
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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 = __________
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(a " b) /c = __________
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2.) Let r = 7.
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4 / " # r = __________
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a " (b /c " d) = __________
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a " b /(c " d) = __________
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4 /(" # r) = __________
5.) Let r = 2.3.
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4 / " # r = __________
3.) Let a = 2.5, b = 4.9, c = 7.3.
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a " b /c = __________
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(a " b) /(c " d) = __________
4 /(" # r) = __________
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(a " b) /c = __________
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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)
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7.) Enter a T or an F in each answer space below to indicate whether the corresponding
statement is true or false.
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_____ " # 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 |
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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
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C. x < "7
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D. | x + 7 |" 2
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E. | x + 7 |> 2
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