Name ———————————————————————
Date ————————————
Summarize
Comparing Rational Numbers
Write the rational numbers with a common denominator and then
compare numerators, or convert them to decimals and compare them.
Ordering Rational Numbers
Convert the rational numbers all to the same form, for example
decimals. Then compare the decimals, or place the numbers on a
number line and then write the order they appear on the number line.
The greatest numbers are farthest to the right and the least numbers
are farthest to the left.
8ZIK\QKM
Fill in the circle with <, >, or 5.
1
4}
1. 26.5
2.
8
9
2
89
20
3. }
}
391
2}
8
5. 248.875
9
5}
5.34
25
503
4. }
100
3
6. }
5
3
50}
100
0.501
7
8
2
5
7. 24.2, 3}, 24}, 2.08
907
1000
9
10
9. 20.97, 2}, 2}
8.
10.
23
3
3.06, 4.1, 2}, 28.9
3
1049
104}
, 210.998, }
, 210.99
16
10
Order the numbers from least to greatest.
11.
2
21 , 23.66, 23}
2.01, }
12. 24}, 4.101, 24.101, 4}
26 17 33 27
3 6 12 4
14. 213.25, 213}, 212.9, 213.09
10
3
13. }, }, }, }
20
Math Intervention
Book 3 Integers and Rational Numbers
1
100
1
100
2
5
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
Order the numbers from greatest to least.
Name ———————————————————————
Date ————————————
15. Carlos needs a piece of wood for a shelf that is 13.25 feet long. He
3
133
feet
found one that is 13} feet long and another one that is }
20
10
long. Is either piece of wood long enough for his shelf? If so, which
one? If not, how much too short are the pieces he found? Explain.
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
16. Four members of a model airplane club
have brought their model airplanes, of
different sizes, to a meeting. The weight
of Garrett’s airplane is 12.14 pounds,
11
Keisha’s airplane weighs 12} pounds,
25
Tyrei’s airplane weighs 10.9 pounds, and
the weight of Samuel’s airplane is
59
} pounds. List the students’ names in
5
order of their airplane weights, from least
to greatest. Explain your reasoning.
_________________________________________________________________________________
_________________________________________________________________________________
Copyright © by McDougal Littell, a division of Houghton Mifflin Company.
_________________________________________________________________________________
17. You have a rope that is 4 feet long. Your friend has a rope that is
2
1}
yards long. Who has the longer rope? Explain your reasoning.
3
_________________________________________________________________________________
_________________________________________________________________________________
_________________________________________________________________________________
,1,A7=/ -<1<'
18. Fill in the missing words. When ordering rational numbers
using a number line, the greatest numbers are farthest to the
________ and the least numbers are farthest to the ________.
19. Describe a process. Describe two methods you can use to
compare and order rational numbers.
__________________________________________________________________________
__________________________________________________________________________
Math Intervention
Book 3 Integers and Rational Numbers
21
Answer
Key
Lesson 3-5, pp. 18–21
Try
this:
1.
5
2.
>
19
7
3.
2.43,
1.07,
0.12,
22
}
10
,2}
;;
5
7
22 10
1.07
2 19
5
0.12
2.43
0
7
17 7
4.
}
3
,
3}
20
,20.8,
2}2
,
23.82;;
23.82
272
7
3 20
20.8
17
3
0
5
13
5
5.
4.31,
}
2
,20.2,
2}4
,
23,
2}
;;
3
5
213
3 23 2 4 20.2
5
2
4.31
0
Practice:
1.
<
2.
>
3.
<
4.
<
5.
5
6.
>
7
2
7.
3}
8
,
2.08,
24.2,
24
}
5
23
8.
4.1,
3.06,
2}
,
28.9
3
9
907
9.
2}
,
2}
,
20.97
10
1000
1049
3
10.
}
10
,
104
}
16
,
210.99,
210.998
Answer
Key
2
21
11.
23
}
3
,
23.66,
2.01,
}
10
1
1
12.
24.101,
24
}
100
,
4}
100
,
4.101
33 17 27 26
13.
}
12
,
}
6
,
}
4
,
}
3
2
14.
213
}
5
,
213.25,
213.09,
212.9
133
133
15.
yes;;
Sample
answer:
The
piece
that
is
}
10
feet
long;;
}
5
13.3
feet,
which
is
greater
than
the
13.25
feet
he
needs.
10
16.
Tyrei,
Samuel,
Garrett,
Keisha;;
Sample
answer:
I
changed
each
fraction
to
a
decimal
and
compared
them.
Keisha’s
5
12.44
pounds
and
Samuel’s
5
11.8
pounds,
10.9
<
11.8
<
12.14
<
12.44
17.
my
friend;;
Sample
answer:
I
changed
yards
to
feet
and
compared
the
rope
lengths.
2
My
rope
is
4
feet
long.
My
friend’s
rope
is
1
}3
3
3
5
5
feet
long.
Since
5
>
4,
my
friend’s
rope
is
longer.
18.
right;;
left
19.
Sample
answer:
1)
You
can
change
the
numbers
to
fractions
with
common
denominators
and
then
compare
the
numerators.
2)You
can
place
the
numbers
on
a
number
line
and
then
write
them
in
order
as
they
appear.