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Mathematics LibreTexts

6.11: Exercise Supplement

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Reading and Writing Decimals

Exercise 6.11.1

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

Answer

hundredths

Exercise 6.11.2

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.

Exercise 6.11.3

7.2

Answer

seven and two tenths

Exercise 6.11.4

8.105

Exercise 6.11.5

16.52

Answer

sixteen and fifty-two hundredths

Exercise 6.11.6

5.9271

Exercise 6.11.7

0.005

Answer

five thousandths

Exercise 6.11.8

4.01701

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

Exercise 6.11.9

Nine and twelve-hundredths.

Answer

9.12

Exercise 6.11.10

Two and one hundred seventy-seven thousandths.

Exercise 6.11.11

Fifty-six and thirty-five ten-thousandths.

Answer

56.0035

Exercise 6.11.12

Four tenths.

Exercise 6.11.13

Four thousand eighty-one millionths.

Answer

0.004081

Converting a Decimal to a Fraction

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

Exercise 6.11.14

1.07

Exercise 6.11.15

58.63

Answer

8563100

Exercise 6.11.16

0.05

Exercise 6.11.17

0.1423

Answer

1175

Exercise 6.11.18

1.0918

Exercise 6.11.19

4.01127

Answer

47675

Exercise 6.11.20

9.1119

Rounding Decimals

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

Exercise 6.11.21

4.087 to the nearest hundredth.

Answer

4.09

Exercise 6.11.22

4.087 to the nearest tenth.

Exercise 6.11.23

16.5218 to the nearest one.

Answer

17

Exercise 6.11.24

817.42 to the nearest ten.

Exercise 6.11.25

0.9811602 to the nearest one.

Answer

1

Addition, Subtraction, Multiplication and Division of Decimals, and Nonterminating Divisions ([link],[link],[link],[link])

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

Exercise 6.11.26

7.10+2.98

Exercise 6.11.27

14.0075.061

Answer

8.946

Exercise 6.11.28

1.28.6

Exercise 6.11.29

41.80.19

Answer

7.942

Exercise 6.11.30

57.51÷2.7

Exercise 6.11.31

0.54003÷18.001

Answer

0.03

Exercise 6.11.32

32,051.3585÷23,006.9999

Exercise 6.11.33

1001,816.001

Answer

181,600.1

Exercise 6.11.34

1,0001,816.001

Exercise 6.11.35

10.0000.14

Answer

1.4

Exercise 6.11.36

0.135888÷16.986

Exercise 6.11.37

150.79÷100

Answer

1.5079

Exercise 6.11.38

4.119÷10,000

Exercise 6.11.39

42.7÷18

Answer

2.37¯2

Exercise 6.11.40

6.9÷12

Exercise 6.11.41

0.014÷47.6. Round to three decimal places.

Answer

0.000

Exercise 6.11.42

8.8÷19. Round to one decimal place.

Exercise 6.11.43

1.1÷9

Answer

0.1¯2

Exercise 6.11.44

1.1÷9.9

Exercise 6.11.45

30÷11.1

Answer

2.¯702

Converting a Fraction to a Decimal

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

Exercise 6.11.46

38

Exercise 6.11.47

43100

Answer

0.43

Exercise 6.11.48

821000

Exercise 6.11.49

947

Answer

9.¯571428

Exercise 6.11.50

8516

Exercise 6.11.51

1.313

Answer

1.¯3

Exercise 6.11.52

25.623

Exercise 6.11.53

125.12518

Answer

125.125125 (not repeating)

Exercise 6.11.54

9.1119

Exercise 6.11.55

0.056

Answer

0.08¯3

Combinations of Operations with Decimals and Fractions

For problems 56-62, perform each operation.

Exercise 6.11.56

580.25

Exercise 6.11.57

3161.36

Answer

0.255

Exercise 6.11.58

35(12+1.75)

Exercise 6.11.59

72(54+0.30)

Answer

5.425

Exercise 6.11.60

19.375÷(4.3751116)

Exercise 6.11.61

15602(2.¯6+314)

Answer

0.09343

Exercise 6.11.62

41318÷(5314+3521)


6.11: Exercise Supplement is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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