# 6.11 Exercise supplement

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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

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

hundredths

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

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

7.2

seven and two tenths

8.105

16.52

sixteen and fifty-two hundredths

5.9271

0.005

five thousandths

4.01701

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

Nine and twelve-hundredths.

9.12

Two and one hundred seventy-seven thousandths.

Fifty-six and thirty-five ten-thousandths.

56.0035

Four tenths.

Four thousand eighty-one millionths.

0.004081

## Converting a decimal to a fraction ( [link] )

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

1.07

58.63

$\text{85}\frac{\text{63}}{\text{100}}$

0.05

$0\text{.}\text{14}\frac{2}{3}$

$\frac{\text{11}}{\text{75}}$

$1\text{.}\text{09}\frac{1}{8}$

$4\text{.}\text{01}\frac{1}{\text{27}}$

$4\frac{7}{\text{675}}$

$9\text{.}\text{11}\frac{1}{9}$

## Rounding decimals ( [link] )

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

4.087 to the nearest hundredth.

4.09

4.087 to the nearest tenth.

16.5218 to the nearest one.

17

817.42 to the nearest ten.

0.9811602 to the nearest one.

1

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

$7\text{.}\text{10}+2\text{.}\text{98}$

$\text{14}\text{.}\text{007}-5\text{.}\text{061}$

8.946

$1\text{.}2\cdot 8\text{.}6$

$\text{41}\text{.}8\cdot 0\text{.}\text{19}$

7.942

$\text{57}\text{.}\text{51}÷2\text{.}7$

$0\text{.}\text{54003}÷\text{18}\text{.}\text{001}$

0.03

$\text{32,051}\text{.}\text{3585}÷\text{23},\text{006}\text{.}\text{9999}$

$\text{100}\cdot 1,\text{816}\text{.}\text{001}$

181,600.1

$1,\text{000}\cdot 1,\text{816}\text{.}\text{001}$

$\text{10}\text{.}\text{000}\cdot 0\text{.}\text{14}$

1.4

$0\text{.}\text{135888}÷\text{16}\text{.}\text{986}$

$\text{150}\text{.}\text{79}÷\text{100}$

1.5079

$4\text{.}\text{119}÷\text{10},\text{000}$

$\text{42}\text{.}7÷\text{18}$

$2\text{.}\text{37}\overline{2}$

$6\text{.}9÷\text{12}$

$0\text{.}\text{014}÷\text{47}\text{.}6$ . Round to three decimal places.

0.000

$8\text{.}8÷\text{19}$ . Round to one decimal place.

$1\text{.}1÷9$

$0.1\overline{2}$

$1\text{.}1÷9\text{.}9$

$\text{30}÷\text{11}\text{.}1$

$2\text{.}\overline{\text{702}}$

## Converting a fraction to a decimal ( [link] )

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

$\frac{3}{8}$

$\frac{\text{43}}{\text{100}}$

0.43

$\frac{\text{82}}{\text{1000}}$

$9\frac{4}{7}$

$9\text{.}\overline{\text{571428}}$

$8\frac{5}{\text{16}}$

$1\text{.}3\frac{1}{3}$

$1\text{.}\overline{3}$

$\text{25}\text{.}6\frac{2}{3}$

$\text{125}\text{.}\text{125}\frac{1}{8}$

125.125125 (not repeating)

$9\text{.}\text{11}\frac{1}{9}$

$0\text{.}0\frac{5}{6}$

$0\text{.}\text{08}\overline{3}$

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

For problems 56-62, perform each operation.

$\frac{5}{8}\cdot 0\text{.}\text{25}$

$\frac{3}{\text{16}}\cdot 1\text{.}\text{36}$

0.255

$\frac{3}{5}\cdot \left(\frac{1}{2}+1\text{.}\text{75}\right)$

$\frac{7}{2}\cdot \left(\frac{5}{4}+0\text{.}\text{30}\right)$

5.425

$\text{19}\text{.}\text{375}÷\left(4\text{.}\text{375}-1\frac{1}{\text{16}}\right)$

$\frac{\text{15}}{\text{602}}\cdot \left(2\text{.}\overline{6}+3\frac{1}{4}\right)$

0.09343

$4\frac{\text{13}}{\text{18}}÷\left(5\frac{3}{\text{14}}+3\frac{5}{\text{21}}\right)$

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