Name
LESSON
Date
Class
Practice C
3-6 Comparing and Ordering Rational Numbers
Compare the fractions. Write or . Justify your answer.
3
1. 44
9
2. 1
0
5
46
10
11
2
3
3. 25
28
Compare the decimals. Write or . Justify your answer.
4. 1.031
5. 4.25
1.3
4.5
6. 2.17
2.17
Order the numbers from least to greatest.
9
7. 1
, 0.54, 0.65
6
4
8. 3.49, 3.14, 39
1
9. 3.05, 3.5, 31
0
7
10. 21
, 2.59, 2.7
2
Choose the greater number.
4
5
11. 5 or 6
12. 0.095 or 0.9
1
13. 4 or 0.025
14. 5 or 5.01
15. A horsepower is the power needed to lift 33,000 pounds 1 foot in
1 minute. It is equivalent to 746 watts. Express 525 watts as
a portion of a horsepower both as a fraction and a decimal
rounded to the nearest thousandth.
16. The density of Jupiter, compared to Earth having a density of 1,
is 0.24. The density of Saturn is 0.124, compared to the density
of Earth. Which planet has a greater density, Jupiter or Saturn?
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Holt Mathematics
Practice B
3-6 Comparing and Ordering Rational Numbers
Practice A
3-6 Comparing and Ordering Rational Numbers
LESSON
LESSON
Compare the fractions. Write or . Justify your answer.
Compare the fractions. Write or .
4
1. 9
7
9
4
5. 7
7
6
2. 6
5
6
1
7
6. 4
1
3. 3
1
7. 18
2
5
3
4
9
11
0
12
4. 5
13
1
35
8. 35
1
7
1. 8
5
3
2. 10
8
7 5
2
7
3
8
3. 4
12
5
5
12
7
5
12
12
Tenths are smaller
than eighths.
Compare the decimals. Write or .
9. 7.3
7.6
10. 0.053
0.312
11. 2.51
2.511 12. 1.450
1.188
15. 5.21
5.00
Compare the decimals. Write or . Justify your answer.
1.405
4. 0.531
13. 0.445
0.455 14. 1.18
16. 9.03
9.303
Write the numbers in order from least to greatest.
5
7
1
17. 0.5, 0.5, 8
18. 1.34, 13, 1.3
5
0.5, 0.5, 8
, 2.67
19. 2.07, 2
10
1
1.3, 13, 1.34
1
2
7
5.9, 58, 5.78
2
than 0 tenths.
2
2
3
1
38, 3.18, 3.80
3
11 8
, , 0.91
12. 12 9
11. 64, 6.34, 6.4
3
64, 6.4, 6.34
5
8
11
, 0.91, 9
12
1
14. 0.3, 0.345, 3
13. 5, 7, 0.65
5
3
7, 0.65, 5
26. Twenty-four karat gold is considered pure. If a ring is 14 karat
gold, what is its purity as a fraction and as a decimal rounded to
the nearest thousandth?
1
9. 3.18, 38, 3.80
2
1.65, 13, 1.7
2
55, 5.25, 5
3 4
, , 0.45
7 9
0.38, 8, 0.04
3.599
3.59 3.5959…;
5 thousandths are
less than
9 thousandths.
8. 1.7, 1.65, 13
10. 5, 5.25, 55
3
4
25. 7, 0.45, 9
3
2.65, 23, 2.69
7 tenths are greater
4
0.4, 9, 0.45
5 6
24. 0.38, 8, 0.04
6. 3.59
than 1 hundredth.
4
7. 9, 0.4, 0.45
0.8, 6, 7
3
23. 23, 2.65, 2.69
0.073
3 hundredths are less
6 5
22. 7, 6, 0.8
21. 5.78, 58, 5.9
1
4.8, 48, 4.08
5. 0.73
Order the numbers from least to greatest.
7
2.07, 2.67, 21
0
7
20. 4.8, 4.08, 48
0.513
7
5
15. 0.75, 8, 8
1
0.3, 3, 0.345
5 7
0.75, 8, 8
16. A ream of paper contains 500 sheets of paper. Norm has
373 sheets of paper left from a ream. Express the portion
of a ream Norm has as a fraction and as a decimal.
7
12 ; 0.583
373
500 ; 0.746
27. Amy scored 9.02 on her balance beam routine. Joella scored 9.2
on her balance beam routine. Which gymnast received the
higher score?
17. The density of Venus, compared to Earth having a density
of 1, is 0.943. The density of Mercury is 0.983, compared to the
density of Earth. Which planet has a greater density, Venus or
Mercury?
Joella
Mercury
49
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Holt Mathematics
Practice C
3-6 Comparing and Ordering Rational Numbers
LESSON
Compare the fractions. Write or . Justify your answer.
3
9
2. 1
0
5
46
9
2
3. 25
You can use fraction strips to compare two fractions that have
different denominators.
3
99
100
110
110
10
1
1
,
2
2
3
10
11
28
2
1
Compare 3 and 2.
16
15
40
40
2
3
so 5 8
5
so 4 6
2
1
is greater than .
3
2
2
1
3
2
Compare the decimals. Write or . Justify your answer.
4. 1.031
5. 4.25
1.3
4.5
6. 2.17
0 tenths are less than
2 tenths are greater
3 tenths.
than 5 tenths.
9
1
1. 3
4
1
3. 2
10. 21
, 2.59, 2.7
2
1
3.5, 31
, 3.05
0
1
4
1
2
3
2. 4
1
3
5
8
1
4
1
4
1
4
3
5
1
4
1
4
1 1 1 1 1
8 8 8 8 8
1
4. 5
1
8
3
5. 8
1
3
To compare decimals:
7
2.7, 21
, 2.59
2
1) Add zeros so that each decimal has the same number of
decimal places.
1
2) Ignore the decimal points and compare the numbers as if they
were integers.
Choose the greater number.
5
6
1
2
1
5
7
9. 3.05, 3.5, 3
10
4
5
11. 5 or 6
1
5
2
3
is less than .
5
4
2
3
5
4
1
2
3.14, 39, 3.49
1
2
3
Compare 5 and 4.
1
3
Use fraction strips to compare. Write or .
4
8. 3.49, 3.14, 39
0.54, 1
, 0.65
6
1
3
2.17
2.17 2.1717… and
2.17 2.170;
1 thousandth is
greater than 0 thousandth
Order the numbers from least to greatest.
9
, 0.54, 0.65
7. 16
Holt Mathematics
Review for Mastery
3-6 Comparing and Ordering Rational Numbers
LESSON
1. 44
50
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13. 4 or 0.025
12. 0.095 or 0.9
14. 5 or 5.01
0.025
0.095
Compare 4.3 and 4.27.
4.3
1 decimal
place
5
15. A horsepower is the power needed to lift 33,000 pounds 1 foot in
1 minute. It is equivalent to 746 watts. Express 525 watts as
a portion of a horsepower both as a fraction and a decimal
rounded to the nearest thousandth.
525
746 , 0.704
4.27
add a zero
4.30
4.27
430 427, so 4.3 4.27.
2 decimal
places
Compare the decimals using or .
16. The density of Jupiter, compared to Earth having a density of 1,
is 0.24. The density of Saturn is 0.124, compared to the density
of Earth. Which planet has a greater density, Jupiter or Saturn?
6. 7.2
7.8
7. 0.64
0.604
8. 2.09
2.817
Jupiter
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51
Copyright © by Holt, Rinehart and Winston.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
73
52
Holt Mathematics
Holt Mathematics