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
14.007−5.061
- Answer
-
8.946
Exercise 6.11.28
1.2⋅8.6
Exercise 6.11.29
41.8⋅0.19
- 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
100⋅1,816.001
- Answer
-
181,600.1
Exercise 6.11.34
1,000⋅1,816.001
Exercise 6.11.35
10.000⋅0.14
- 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
58⋅0.25
Exercise 6.11.57
316⋅1.36
- 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÷(4.375−1116)
Exercise 6.11.61
15602⋅(2.¯6+314)
- Answer
-
0.09343
Exercise 6.11.62
41318÷(5314+3521)