Lesson 5.1 Rational Numbers Worksheet Page 5

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You and a friend are collecting leaves. In your collection of
Leaves
44.
45 leaves, 4 are oak leaves. In your friend’s collection of 36 leaves,
3 are oak leaves. Whose collection has a greater fraction of oak leaves?
The table shows
45.
Recycling
Month
Total trash (lb)
Recycled trash (lb)
monthly amounts of trash
Nov.
350
112
and recycled trash at a
Dec.
315
119
school.
Jan.
270
189
a. For each month, find the
Feb.
330
234
fraction of trash that was
Mar.
300
214
recycled.
b.
Use a calculator to write the fractions in part (a) as
Compare
decimals. Order the decimals from least to greatest. In which
month was the fraction of trash that was recycled the greatest?
Writing
As of January 1, a new recycling plan was introduced at
c.
the school. What effect do you think the plan had on recycling
efforts in January and the months that followed? Explain.
Copy and complete the statement using always, sometimes, or never.
46. An integer is _ ? _ a rational number.
47. A fraction can _ ? _ be written as a terminating decimal.
48. A repeating decimal is _ ? _ a rational number.
Write the decimal as a fraction or mixed number.
49. 0.8
50. 0.7
0.4
9.6
51.
52.
53. 0.12
1.36
55. 0.897
56. 2.707
54.
Order the numbers from least to greatest.
7
1
5
4
9
2,
, 0.8, 2.1, 1
58. 0.7,
1,
,
,
2.3,
57.
8
3
4
3
2
8
1
59. 0.21, 2.3,
,
0.1,
, 0.2
60. 0.3, 0.3 , 0.30 ,
0.3,
0.3
3
5
Extended Problem Solving
The table shows the number of at bats
61.
and hits that players on a softball team had in three games.
Player
Game 1
Game 2
Game 3
Maria
4 at bats
2 hits
5 at bats
2 hits
4 at bats
1 hit
Laura
4 at bats
1 hit
5 at bats
1 hit
4 at bats
1 hit
Jenny
4 at bats
3 hits
4 at bats
2 hits
4 at bats
1 hit
a. Find the total number of at bats and the total number of hits for
each player for the three games.
b.
Analyze
A player’s batting average is the total number of hits divided
by the total number of at bats. The batting average is usually
expressed as a decimal rounded to the nearest thousandth. Find
each player’s batting average for the three games.
Rank the players based on batting averages. Explain.
c.
Apply
223
Lesson 5.1
Rational Numbers

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