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This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module is an exercise supplement for the chapter "Decimals" and contains many exercise problems. Odd problems are accompanied by solutions.

Exercise supplement

Reading and writing decimals ( [link] )

The decimal digit that appears two places to the right of the decimal point is in the position.

hundredths

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The decimal digit that appears four places to the right of the decimal point is in the position.

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For problems 3-8, read each decimal by writing it in words.

7.2

seven and two tenths

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16.52

sixteen and fifty-two hundredths

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For problems 9-13, write each decimal using digits.

Nine and twelve-hundredths.

9.12

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Two and one hundred seventy-seven thousandths.

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Fifty-six and thirty-five ten-thousandths.

56.0035

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Four thousand eighty-one millionths.

0.004081

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Converting a decimal to a fraction ( [link] )

For problem 14-20, convert each decimal to a proper fraction or a mixed number.

58.63

85 63 100 size 12{"85" { {"63"} over {"100"} } } {}

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0 . 14 2 3 size 12{0 "." "14" { {2} over {3} } } {}

11 75 size 12{ { {"11"} over {"75"} } } {}

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1 . 09 1 8 size 12{1 "." "09" { {1} over {8} } } {}

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4 . 01 1 27 size 12{4 "." "01" { {1} over {"27"} } } {}

4 7 675 size 12{4 { {7} over {"675"} } } {}

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9 . 11 1 9 size 12{9 "." "11" { {1} over {9} } } {}

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Rounding decimals ( [link] )

For problems 21-25, round each decimal to the specified position.

4.087 to the nearest hundredth.

4.09

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4.087 to the nearest tenth.

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16.5218 to the nearest one.

17

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817.42 to the nearest ten.

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0.9811602 to the nearest one.

1

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Addition, subtraction, multiplication and division of decimals, and nonterminating divisions ( [link] , [link] , [link] , [link] )

For problem 26-45, perform each operation and simplify.

7 . 10 + 2 . 98 size 12{7 "." "10"+2 "." "98"} {}

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14 . 007 5 . 061 size 12{"14" "." "007" - 5 "." "061"} {}

8.946

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1 . 2 8 . 6 size 12{1 "." 2 cdot 8 "." 6} {}

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41 . 8 0 . 19 size 12{"41" "." 8 cdot 0 "." "19"} {}

7.942

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57 . 51 ÷ 2 . 7 size 12{"57" "." "51" div 2 "." 7} {}

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0 . 54003 ÷ 18 . 001 size 12{0 "." "54003" div "18" "." "001"} {}

0.03

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32,051 . 3585 ÷ 23 , 006 . 9999 size 12{"32,051" "." "3585" div "23","006" "." "9999"} {}

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100 1, 816 . 001 size 12{"100" cdot 1,"816" "." "001"} {}

181,600.1

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1, 000 1, 816 . 001 size 12{1,"000" cdot 1,"816" "." "001"} {}

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10 . 000 0 . 14 size 12{"10" "." "000" cdot 0 "." "14"} {}

1.4

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0 . 135888 ÷ 16 . 986 size 12{0 "." "135888" div "16" "." "986"} {}

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150 . 79 ÷ 100 size 12{"150" "." "79" div "100"} {}

1.5079

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4 . 119 ÷ 10 , 000 size 12{4 "." "119" div "10","000"} {}

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42 . 7 ÷ 18 size 12{"42" "." 7 div "18"} {}

2 . 37 2 ¯ size 12{2 "." "37" {overline {2}} } {}

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6 . 9 ÷ 12 size 12{6 "." 9 div "12"} {}

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0 . 014 ÷ 47 . 6 size 12{0 "." "014" div "47" "." 6} {} . Round to three decimal places.

0.000

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8 . 8 ÷ 19 size 12{8 "." 8 div "19"} {} . Round to one decimal place.

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1 . 1 ÷ 9 size 12{1 "." 1 div 9} {}

0.1 2 ¯ size 12{0 "." {overline {"12"}} } {}

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1 . 1 ÷ 9 . 9 size 12{1 "." 1 div 9 "." 9} {}

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30 ÷ 11 . 1 size 12{"30" div "11" "." 1} {}

2 . 702 ¯ size 12{2 "." {overline {"702"}} } {}

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Converting a fraction to a decimal ( [link] )

For problems 46-55, convert each fraction to a decimal.

3 8 size 12{ { {3} over {8} } } {}

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43 100 size 12{ { {"43"} over {"100"} } } {}

0.43

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82 1000 size 12{ { {"82"} over {"1000"} } } {}

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9 4 7 size 12{9 { {4} over {7} } } {}

9 . 571428 ¯ size 12{9 "." {overline {"571428"}} } {}

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8 5 16 size 12{8 { {5} over {"16"} } } {}

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1 . 3 1 3 size 12{1 "." 3 { {1} over {3} } } {}

1 . 3 ¯ size 12{1 "." {overline {3}} } {}

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25 . 6 2 3 size 12{"25" "." 6 { {2} over {3} } } {}

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125 . 125 1 8 size 12{"125" "." "125" { {1} over {8} } } {}

125.125125 (not repeating)

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9 . 11 1 9 size 12{9 "." "11" { {1} over {9} } } {}

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0 . 0 5 6 size 12{0 "." 0 { {5} over {6} } } {}

0 . 08 3 ¯ size 12{0 "." "08" {overline {3}} } {}

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Combinations of operations with decimals and fractions ( [link] )

For problems 56-62, perform each operation.

5 8 0 . 25 size 12{ { {5} over {8} } cdot 0 "." "25"} {}

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3 16 1 . 36 size 12{ { {3} over {"16"} } cdot 1 "." "36"} {}

0.255

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3 5 1 2 + 1 . 75 size 12{ { {3} over {5} } cdot left ( { {1} over {2} } +1 "." "75" right )} {}

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7 2 5 4 + 0 . 30 size 12{ { {7} over {2} } cdot left ( { {5} over {4} } +0 "." "30" right )} {}

5.425

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19 . 375 ÷ 4 . 375 1 1 16 size 12{"19" "." "375" div left (4 "." "375" - 1 { {1} over {"16"} } right )} {}

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15 602 2 . 6 ¯ + 3 1 4 size 12{ { {"15"} over {"602"} } cdot left (2 "." {overline {6}} +3 { {1} over {4} } right )} {}

0.09343

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4 13 18 ÷ 5 3 14 + 3 5 21 size 12{4 { {"13"} over {"18"} } div left (5 { {3} over {"14"} } +3 { {5} over {"21"} } right )} {}

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Source:  OpenStax, Fundamentals of mathematics. OpenStax CNX. Aug 18, 2010 Download for free at http://cnx.org/content/col10615/1.4
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