CHAPTER 4 REVIEW!
Rational Numbers
QUESTION: 1
𝑊𝑟𝑖𝑡𝑒 𝑒𝑎𝑐ℎ 𝑓𝑟𝑎𝑐𝑡𝑖𝑜𝑛 𝑎𝑠 𝑎 𝑑𝑒𝑐𝑖𝑚𝑎𝑙. 𝑈𝑠𝑒 𝑏𝑎𝑟 𝑛𝑜𝑡𝑎𝑡𝑖𝑜𝑛 𝑖𝑓 𝑡ℎ𝑒 𝑑𝑒𝑐𝑖𝑚𝑎𝑙 𝑖𝑠 𝑟𝑒𝑝𝑒𝑎𝑡𝑖𝑛𝑔.
3
−7
5
ANSWER: 1
−7.6
QUESTION: 2
Wℎ𝑎𝑡 𝑖𝑠
4
2
9
𝑎𝑠 𝑎 𝑑𝑒𝑐𝑖𝑚𝑎𝑙?
ANSWER: 2
QUESTION: LESSON 1
• Thirty-six 7th graders were asked to choose their favorite
color. The table shows the fraction of students that chose
each color. What decimal shows the difference between
the most and least popular colors?
Color
Red
Yellow
Blue
Green
Fractions
5/18
1/6
4/9
1/9
ANSWER: LESSON 1
5
1
3
4
8
1
2
𝑅𝑒𝑑:
, 𝑌𝑒𝑙𝑙𝑜𝑤: =
, 𝐵𝑙𝑢𝑒: =
, 𝐺𝑟𝑒𝑒𝑛: =
18
6 18
9 18
9 18
8
Blue – Green:
18
−
2
18
=
6
18
1
3
= = 0. 3
QUESTION: 3
𝑊𝑟𝑖𝑡𝑒 𝑒𝑎𝑐ℎ 𝑑𝑒𝑐𝑖𝑚𝑎𝑙 𝑎𝑠 𝑎 𝑓𝑟𝑎𝑐𝑡𝑖𝑜𝑛 𝑜𝑟 𝑚𝑖𝑥𝑒𝑑 𝑛𝑢𝑚𝑏𝑒𝑟 𝑖𝑛 𝑠𝑖𝑚𝑝𝑙𝑒𝑠𝑡 𝑓𝑜𝑟𝑚.
68.25
ANSWER: 3
25
𝟏
68
= 𝟔𝟖
100
𝟒
QUESTION: 4
𝑊ℎ𝑎𝑡 𝑖𝑠 0.125 𝑎𝑠 𝑎 𝑓𝑟𝑎𝑐𝑡𝑖𝑜𝑛 𝑖𝑛 𝑠𝑖𝑚𝑝𝑙𝑒𝑠𝑡 𝑓𝑜𝑟𝑚?
ANSWER: 4
QUESTION: LESSON 1
• Destiny read ¼ of a book on the day she received it. The
next day, she read 5/8 of the book. On the third day, she
finished reading the book. What decimal represents the
fraction of the book Destiny read on the third day?
ANSWER: LESSON 1
1
5
8
2
5
8
7
𝟏
1 −
−
=
−
−
=
−
=
4
8
8
8
8
8
8
𝟖
1
= 0.125
8
QUESTION: 5
4
𝑊ℎ𝑖𝑐ℎ 𝑠𝑦𝑚𝑏𝑜𝑙 𝑚𝑎𝑘𝑒𝑠
5
a.>
b.<
c.=
d.+
2
𝑎 𝑡𝑟𝑢𝑒 𝑠𝑡𝑎𝑡𝑒𝑚𝑒𝑛𝑡?
3
ANSWER: 5
4 4 ∗ 3 12
=
=
5 5 ∗ 3 15
2 2 ∗ 5 10
=
=
3 3 ∗ 5 15
4 𝟏𝟐
=
5 𝟏𝟓
𝟏𝟎 2
>
=
𝟏𝟓 3
QUESTION: LESSON 2
• Which of the following numbers is closest 88% on the number
line? Write both the decimal and fraction form of the number.
4
,
5
8
,
9
21
25
ANSWER: LESSON 2
4 4 ∗ 20
80
𝟏. =
=
= 𝟎. 𝟖
5 5 ∗ 20 100
𝟐.
8
9
= 𝟎. 𝟖 *******
21
21 ∗ 4
84
𝟑.
=
=
= 𝟎. 𝟖𝟒
25
25 ∗ 4
100
88
88% =
= 0.88
100
QUESTION: 6
𝐿𝑖𝑠𝑡 𝑡ℎ𝑒 𝑠𝑒𝑡 𝑜𝑓 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑖𝑛 𝑜𝑟𝑑𝑒𝑟 𝑓𝑟𝑜𝑚 𝑙𝑒𝑎𝑠𝑡 𝑡𝑜 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡.
𝟑 𝟒
, , 𝟎. 𝟕𝟓𝟓
𝟕 𝟓
ANSWER: 6
𝟑
,
𝟕
𝟎. 𝟕𝟓𝟓,
𝟒
𝟓
QUESTION: LESSON 3
• The table shows the time Jira spends as she gets
ready for school. The tasks are listed in order of when
she completes them. How many minutes does she
spend getting ready before she brushes her teeth?
TASK
TIME SPENT (hours)
Shower
2/12
Get Dressed
1/12
Eat Breakfast
3/12
Brush Teeth
1/12
Fix Hair
5/12
ANSWER: LESSON 3
30 minutes
𝑆ℎ𝑜𝑤𝑒𝑟 + 𝐺𝑒𝑡 𝐷𝑟𝑒𝑠𝑠𝑒𝑑 + 𝐸𝑎𝑡 𝐵𝑟𝑒𝑎𝑘𝑓𝑎𝑠𝑡
2
12
+
1
12
+
3
6
=
12
12
6
1
= = ℎ𝑎𝑙𝑓 𝑜𝑓 𝑎𝑛 ℎ𝑜𝑢𝑟 = 30 𝑚𝑖𝑛
12 2
QUESTION: 7
Most of the state names in the United States end in a vowel.
Of the 50 states, 25 of the state names end in either an a or
an e and 6 end in either an i or an o. If none of the state
names end in a u, what is the fraction of states that end in a
vowel?
ANSWER: 7
25 + 6 31
=
50
50
QUESTION: LESSON 4
• How many units greater is the perimeter of Triangle B
than the perimeter of Triangle A?
1
3
4
7
A
3
7
5
6
2
3
5
6
ANSWER: LESSON 4
1 3 4
𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝐴: + +
3 7 7
1∗7
3∗3
4∗3
+
+
3∗7
7∗3
7∗3
5 2 5
𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 𝐵: + +
6 3 6
5∗3
2∗6
5∗3
+
+
6∗3
3∗6
6∗3
7
9 12
+
+
21 21 21
15 12 15
+
+
18 18 18
28
7
1
=1
=1
21
21
3
42
6
1
=2
=2
18
18
3
Difference: 1
QUESTION: 8
𝐴𝑑𝑑 𝑜𝑟 𝑆𝑢𝑏𝑡𝑟𝑎𝑐𝑡. 𝑊𝑟𝑖𝑡𝑒 𝑖𝑛 𝑆𝑖𝑚𝑝𝑙𝑒𝑠𝑡 𝑓𝑜𝑟𝑚.
ANSWER: 8
5
3
5 3 5 ∗ 4 3 ∗ 6 20 18 38
14
𝟕
1.
− −
= + =
+
=
+
=
=1
=𝟏
6
4
6 4 6 ∗ 4 4 ∗ 6 24 24 24
24
𝟏𝟐
1
7 17 7 17 ∗ 9 7 ∗ 4 153 28 125
𝟏𝟕
2. 4 − =
− =
−
=
−
=
=𝟑
4
9
4
9
4∗9
9∗4
36
36
36
𝟑𝟔
QUESTION: LESSON 4
• The circle graph shows how Elena handles her
monthly income. What fraction more does she
spend or give to charity than she saves?
ANSWER: LESSON 4
(Spend + Charity) – (Long Savings + Short Savings)
9
1
1 1
9
2
5
4
11 9
2
𝟏
+
−
+
=
+
−
+
=
−
=
=
20 10
4 5
20 20
20 20
20 20 20 𝟏𝟎
QUESTION: 9
Multiply. Write in simplest form.
ANSWER: 9
1.
4
7
×
21
32
=
4×21
7×32
=
4×3×7
7×4×8
=
𝟑
𝟖
1
1
22 5 −2 × 11 × 5
55
𝟔
2. −3 × 2 = −
× =
=−
= −𝟕
7
2
7
2
7×2
7
𝟕
QUESTION : LESSON 5
The side measures for two sides of a triangle are shown.
What is the measure, in inches, of side A if the perimeter
of the triangle is 180 inches?
1
1
76 + 51 + 𝐴 = 180
6
3
1
2
76 + 51 + 𝐴 = 180
6
6
3
127 + 𝐴 = 180
6
1
𝐴 = 180 − 127
2
𝟏
𝑨 = 𝟓𝟐
𝟐
ANSWER: LESSON 5
Round to the Hundredth’s place
1. 𝐶𝑜𝑛𝑣𝑒𝑟𝑡 762.8 𝑔𝑟𝑎𝑚𝑠 𝑡𝑜 𝑝𝑜𝑢𝑛𝑑𝑠.
2. 𝐶𝑜𝑛𝑣𝑒𝑟𝑡 115 𝑑𝑒𝑐𝑎𝑚𝑒𝑡𝑒𝑟𝑠 𝑡𝑜 𝑖𝑛𝑐ℎ𝑒𝑠.
QUESTION: 10
ANSWER: 10
762.8 𝑔𝑟𝑎𝑚𝑠
1 𝑝𝑜𝑢𝑛𝑑
1.
×
= 1.68 𝑝𝑜𝑢𝑛𝑑𝑠
1
453.6 𝑔𝑟𝑎𝑚𝑠
KHDUDCM
115000 𝑐𝑚
1 𝑖𝑛𝑐ℎ
2. 115 𝑑𝑒𝑐𝑎𝑚𝑒𝑡𝑒𝑟𝑠 → 115.000. →
×
= 45275.59 𝑖𝑛𝑐ℎ𝑒𝑠
1
2.54 𝑐𝑚
QUESTION: LESSON 7
In a sauce recipe, 2 cups of ketchup are added
for every 1 cup of tomato sauce. If 2.25 cups of
tomato sauce are added, about how many
milliliters of ketchup should be added? Round to
the nearest whole number.
ANSWER: LESSON 7
1 𝑐𝑢𝑝 𝑜𝑓 𝑇𝑜𝑚𝑎𝑡𝑜 𝑆𝑎𝑢𝑐𝑒 𝑡𝑜 2 𝑐𝑢𝑝𝑠 𝑜𝑓 𝐾𝑒𝑡𝑐ℎ𝑢𝑝
2.25 𝑐𝑢𝑝𝑠 𝑜𝑓 𝑇𝑜𝑚𝑎𝑡𝑜 𝑆𝑎𝑢𝑐𝑒 𝑡𝑜 2.25 ∗ 2 𝑐𝑢𝑝𝑠 𝑜𝑓 𝐾𝑒𝑡𝑐ℎ𝑢𝑝
2.25 ∗ 2 = 4.50 𝑐𝑢𝑝𝑠
4.50 𝑐𝑢𝑝𝑠 236.54 𝑚𝐿
×
= 𝟏𝟎𝟔𝟒. 𝟒𝟑 𝒎𝑳 𝒐𝒇 𝑲𝒆𝒕𝒄𝒉𝒖𝒑
1
1 𝑐𝑢𝑝
QUESTION: 11
2
8 ÷4
3
ANSWER: 11
2 24 11 24
3
24
𝟐
8 ÷3 =
÷
=
×
=
=𝟐
3
3
3
3
11 11
𝟏𝟏
QUESTION: LESSON 8
A family-sized container of macaroni holds sixteen
1
1
3
cup servings. A chef prepares meals using
cups
in each bowl. How many bowls can the chef
prepare from one family-sized container.
3
4
ANSWER: LESSON 8
3
1 192
4 192
3
576
16 ÷ 1 =
÷ =
× =
= 𝟑𝟔 𝒃𝒐𝒘𝒍𝒔
4
3
4
3
4
4
16