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WorksheetsRational numbers
Total questions: 141
Worksheet time: 7hrs 39mins
Name
Class
Date
1.
Integers are ____________ rational.
a)
always
b)
sometimes
c)
never
2.
0.33333 is considered a ________ decimal
a)
repeating
b)
terminating
3.
A fraction is which type of number?
a)
Rational
b)
Irrational
c)
Integer
d)
Whole
4.
Compare.
- ½ ⅓
- ½ ⅓
a)
<
b)
>
c)
=
5.
Order from greatest to least: -12, 15, -1, 3,
a)
15, 3, -1, -12
b)
15, 3, -12, -1
c)
-1, -12, 3, 15
d)
-12, -1, 3, 15
6.
Which number is farthest from 0?
a)
-6
b)
-4
c)
3
d)
5
7.
What is |-20| ?
a)
20
b)
-20
c)
1/20
d)
-1/20
8.
Convert 2/5 from a fraction to a decimal.
a)
.02
b)
.04
c)
.2
d)
.4
9.
Convert 0.75 to fraction form.
a)
3/6
b)
3/4
c)
2/6
d)
1/4
10.
Which of the following are sets of integers?
a)
5.5, -7.9, 0, 18
b)
5, -10, 0, 23, -19
c)
2 1/3, 19, -3.79, -5.5, 3 1/4
11.
Which is greater: -3 or 1/6
a)
They are equal.
b)
-3
c)
Depends on if it's hot outside.
d)
1/6
12.
What is the absolute value of | -7 |?
a)
-7
b)
7
c)
-7 and 7
13.
What is .67 as a fraction?
a)
67/100
b)
67/1000
14.
What is .005 as a fraction?
a)
5/1000
b)
5/10
15.
write -3/8 as a decimal.
a)
0.375
b)
2.666...
c)
-2.666...
d)
-0.375
16.
Convert 15/2 into a mixed number.
a)
6 1/2
b)
7 1/2
c)
8
d)
8 1/2
17.
Convert 15/2 into a mixed number.
a)
6 1/2
b)
7 1/2
c)
8
d)
8 1/2
18.
Convert 2/25 from a fraction to a decimal
a)
2.25
b)
.25
c)
.8
d)
.08
19.
A positive number is __________ less than a negative number.
a)
never
b)
always
c)
sometimes
d)
probably
20.
Which set of numbers is ordered from least to greatest?
a)
-0.03, -1/2, 2, 2.5
b)
-34, -3/5, 0, 12.75
c)
0, -1, 1, 2
d)
-1/4, -2, 0, 1/5
21.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
22.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
23.
Which of the following rational numbers is the smallest?
a)
0.41
b)
2/5
c)
0.5
d)
3/8
24.
Place the numbers below in order from greatest to least: 60, -5, 1/4, 1/2, -6
a)
-6, -5, 1/4, 1/2, 60
b)
60, 1/2, 1/4, -5, -6
c)
-6, -5, 1/2, 1/4, 60
d)
60, 1/4, 1/2, -6, -5
25.
Complete the statement using <, = or >.
−9.43 __ −9.34
−9.43 __ −9.34
a)
>
b)
<
c)
=
d)
none
26.
What is the approximate value of √27 ?
a)
5.2 units
b)
3 units
c)
13.5 units
d)
6 units
27.
Order the following from least to greatest.
√68, √42, √36, −√100
√68, √42, √36, −√100
a)
−√100, √36, √42, √68
b)
√36, √42, √68, −√100
c)
√42, √68, −√100, √36
d)
−√100, √42, √36, √68
28.
What is a rational number ?
a)
A rational number is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a ratio.
c)
A rational number cannot be a repeating decimal.
d)
A rational number is a never ending never repeating decimal.
29.
What type of number is π ?
a)
Rational
b)
Irrational
c)
Integer
d)
Natural
30.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
31.
Which number is a rational number ?
a)
1/4
b)
π
c)
√3
d)
4.632789...
32.
√25
a)
Rational
b)
Irrational
c)
Variable
d)
Imaginary
33.
Which set of numbers contains only rational numbers?
a)
{ 2, 4.5, √16, ⅔ }
b)
{ -3, -2, √18, 4.2 }
c)
{ π, 4, 0.345329... , -√25 }
d)
{ √27, π, - √3, 7.234812... }
34.
√7
a)
Rational
b)
Irrational
c)
Integer
d)
Imaginary
35.
0.141414141414...
a)
Rational
b)
Irrational
c)
Whole
d)
Integer
36.
Which best describes an irrational number?
a)
Any number that can be expressed as a fraction.
b)
A positive or negative whole number.
c)
A number that is a non-terminating, non-repeating decimal.
d)
The square root of any whole number.
37.
√3
a)
Rational
b)
Irrational
c)
Imaginary
d)
Whole
38.
Which best describes an irrational number?
a)
Any number that can be expressed as a fraction
b)
A positive or negative whole number.
c)
A number that is a non-terminating, non-repeating decimal.
d)
A perfect square.
39.
Write the following decimal as a fraction in simplest form: 3.25
a)
3 1/4
b)
3 2/5
c)
3 25/1000
d)
32 5/10
40.
What is 0.3636.... written as a fraction?
a)
36/99
b)
4/11
c)
8/22
d)
36/100
41.
In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?
HINT: Find the difference.
HINT: Find the difference.
a)
16¾ inches
b)
6½ inches
c)
6¼ inches
42.
Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house? HINT: Find the difference.
a)
9.3 miles
b)
2.7 miles
c)
3.3 miles
43.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
44.
The temperature in a town is 34.1°F during the day and −8.6°F at night. Find the difference in the temperatures.
a)
42.7
b)
25.5
c)
42.7°F
d)
25.5°F
45.
Find −2¼−3⅞
a)
1⅝
b)
−1⅝
c)
−6⅛
46.
A group of friends are rock climbing. Mr. Wharton is 26.4 feet above the ground. Mr. Hall is directly below Mr. Wharton at 14.1 feet above the ground. How far apart are they?
a)
40.5 miles
b)
12.3 miles
c)
12.3 feet
d)
40.5 feet
47.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
48.
Which pair shows equivalent numbers?
a)
0.31, 1/3
b)
0.7, 7/100
c)
0.08, 8/10
d)
0.5, 1/2
49.
How would you express .005 as a fraction?
a)
5/10
b)
5/100
c)
5/1,000
d)
5/10,000
50.
9 out of 12 students came to the football game. What % attended?
a)
25%
b)
50%
c)
75%
d)
65%
51.
Jerry bought 6.95 lbs of cherry and lime jelly beans for his birthday party. If 1.75 lbs were cherry flavor, how many pounds were lime flavor?
a)
5.2
b)
8.7
c)
9.7
d)
5.02
52.
6 out of 8 students will wear red on Monday. What % will wear red?
a)
25%
b)
35%
c)
65%
d)
75%
53.
Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm. In the second year she grew 7.7 cm. How much taller did she get altogether?
a)
12.3 cm
b)
3.8 years
c)
12.32 cm
d)
12.32 years
54.
On Tuesday, Terry took a road trip to visit his friends. He travelled 2.25 miles to Frank's house and then 5 1/2 mile to Janice's house before returning home. Using decimals, how many miles did Terry travel on Tuesday?
a)
3.8 miles
b)
7. 60 miles
c)
7. 75 miles
d)
15.50 miles
55.
⅗+(−⅕)=
a)
⅖
b)
−⅖
c)
⅘
56.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
57.
.75
a)
3/6
b)
3/4
c)
2/6
d)
1/4
58.
.8
a)
4/3
b)
4/5
c)
8/100
d)
8/1000
59.
Fill in the blank with the correct sign >, < , or =
-3.4 ________ -2.5
-3.4 ________ -2.5
a)
>
b)
<
c)
=
60.
Fill in the blank with the correct sign >, < , or =
|1.47| _______ |-1.47|
|1.47| _______ |-1.47|
a)
>
b)
<
c)
=
61.
When you're comparing numbers using the number line, the number to the farthest left is the...
a)
Smallest
b)
Greatest
62.
When you're comparing numbers using the number line, the number to the farthest right is the...
a)
Smallest
b)
Greatest
63.
Which number is the smallest?
-3, |-520|, -520, or 3
-3, |-520|, -520, or 3
a)
-3
b)
|-520|
c)
-520
d)
3
64.
What is the opposite of -9?
a)
9
b)
1/9
c)
0
d)
-9
65.
A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.
a)
60
b)
−60 feet
c)
60 feet
d)
−60
66.
|6| + |-3|
a)
3
b)
-3
c)
-9
d)
9
67.
Order the numbers from least to greatest.
-2, 8, 5, -10, 6
-2, 8, 5, -10, 6
a)
-2, I8I, 5, I-10I, 6
b)
-2, 5, 6, I8I, I-10I
c)
-2, 5, 6, 8, 10
d)
I-10I, -2, 5, 6. I8I
68.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
-3/4 ________ -4/5
a)
>
b)
<
c)
=
69.
Fill in the blank with the correct sign >, < , or =
1/2 _______ -1/2
1/2 _______ -1/2
a)
>
b)
<
c)
=
70.
Fill in the blank with the correct sign >, < , or =
| -1.8 |__________________1.6
| -1.8 |__________________1.6
a)
>
b)
<
c)
=
71.
What's another way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
72.
Paige rode her bike 4/5 mile. Megan rode her bike 1/3 mile. Which girl rode the greatest distance?
a)
Paige; 4/5 > 1/3
b)
Megan; 4/5 < 1/3
73.
Order the following from greatest to least.
3/4, 4/5, 4/9, 1/2
3/4, 4/5, 4/9, 1/2
a)
4/9, 1/2, 3/4, 4/5,
b)
4/5, 4/9, 1/2, 3/4
c)
4/5, 3/4, 1/2, 4/9
d)
3/4, 4/5, 4/9, 1/2
74.
What is the letter is a the the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
75.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
76.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
77.
a)
-7
b)
2 1/3
c)
7
d)
-2 1/3
78.
-6.8+7.4
a)
0.06
b)
14.2
c)
-14.2
d)
0.6
79.
-7.5 + (-0.56)
a)
-7.96
b)
-8.06
c)
6.94
d)
-6.94
80.
3.8+(-8.6) -(-4.2)
a)
-9
b)
16.6
c)
-0.6
d)
8.2
81.
a)
-4
b)
-1
c)
0
d)
1/2
82.
-6-2.9
a)
3.1
b)
-3.1
c)
8.9
d)
-8.9
83.
-5 ÷ 2.5
a)
-0.5
b)
2
c)
-2
d)
7.5
84.
a)
1 15/31
b)
57 1/25
c)
1
d)
-1 21/25
85.
a)
1/6
b)
1/3
c)
-4/7
d)
-1/3
86.
0.37×(-0.4)
a)
-0.148
b)
0.148
c)
-0.925
d)
0.925
87.
Counting numbers that are positive
a)
absolute value
b)
opposites
c)
whole numbers
88.
Whole numbers, their opposites, and zero
a)
whole numbers
b)
integers
c)
absolute value
d)
opposites
89.
Any number that can be written as a fraction
a)
opposite
b)
rational number
c)
absolute value
90.
An integer that is less than zero
a)
negative
b)
positive
91.
An integer that is greater than zero
a)
negative
b)
positive
92.
Distance from zero on the number line
a)
absolute value
b)
opposite
c)
rational
d)
integer
93.
A number that is the same distance from zero but in the other direction
a)
absolute value
b)
opposite
c)
rational
d)
integer
94.
Fill in the blank with the correct sign: <, > or =.
4 ____ -2
4 ____ -2
a)
<
b)
>
c)
=
95.
What is the absolute value of 13?
a)
-13 doesn't have an absolute value.
b)
13
c)
-13
96.
Fill in the blank with the correct sign: <, > or =.
-3 ____ -7
-3 ____ -7
a)
<
b)
>
c)
=
97.
Which number is the smallest?
-7, 2, -9, 0, 3, -8
-7, 2, -9, 0, 3, -8
a)
-7
b)
-8
c)
-9
d)
0
98.
Write the following numbers in order from least to greatest.
3, 7, -2, -9, 0, -3, -11
3, 7, -2, -9, 0, -3, -11
a)
-2, -3, -9, -11, 0, 3, 7
b)
7, 3, 0, -2, -3, -9, -11
c)
-11, -9, -2, -3, 0, 3, 7
d)
-11, -9, -3, -2, 0, 3, 7
99.
What is the opposite of 9?
a)
9 doesn't have an opposite.
b)
9
c)
-9
100.
Fill in the blank with the correct sign: <, >, or =.
|-⅓| ____ |⅓|
|-⅓| ____ |⅓|
a)
<
b)
>
c)
=
101.
Fill in the blank with the correct sign: <, >, or =.
−|4| _____ −(−4)
−|4| _____ −(−4)
a)
<
b)
>
c)
=
102.
What is a possible integer that could be between -6 and 2 on a number line?
a)
4
b)
-8
c)
3
d)
-3
103.
Which of these terms is NOT an example of a negative number?
a)
credit
b)
below zero
c)
withdraw
d)
owe
104.
Which of these terms do not fit in the following sentence? "I ______ $100 in the bank. The integer is +100."
a)
lost
b)
deposited
c)
gained
d)
received
105.
Finish this statement: "The opposite of 7 is......
a)
7 units to the right of zero
b)
7
c)
7 units to the left of zero
d)
14 units to the left of zero
106.
What is the decimal equivalent of 4/25?
a)
16%
b)
0.16
c)
1.6
d)
0.08
107.
What is the fraction equivalent of 0.40?
a)
40%
b)
1/25, 2/50, 4/100
c)
4/5, 20/25, 40/50, 80/100
d)
2/5,10/25,20/50,40/100
108.
Which of these lists is ordered from greatest to least?
a)
-10, -1, 2, 6
b)
1.8, 1/2, 1/4
c)
0.6, 0.30, 70%
d)
6, -6, -8, 8
109.
Which of these rational numbers is farthest to the left of a number line?
a)
-8/3
b)
-3
c)
-2.3
d)
-10/7
110.
A fish is swimming 7 feet below the water's surface. A turtle is swimming 2 feet below the water's surface. What is the difference in feet where the fish and the turtle is?
a)
-9 feet
b)
14 feet
c)
5 feet
d)
9 feet
111.
Which inequality relates to the following situation: a loss of $35 is worse than a gain of $15.
a)
-35 < 15
b)
-35 > 15
c)
35 < -15
d)
35 > -15
112.
Which expression can also be used to calculate the expression above?
a)
b)
c)
d)
113.
Which statement about 3 multiplied by 2/3 must be true?
a)
The product is between 3 and 4
b)
The product is less than 2/3
c)
The product is between 2/3 and 3
d)
The product is greater than 4
114.
What value of p makes the expression 4p equal to a number less than 4?
a)
9/8
b)
19/17
c)
7/8
d)
16/16
115.
A team of four player competed in a golf contest. The names and scores of the player on the team are shown in the table. The team's score is the sum of the scores in the table. What is the team's score?
a)
10
b)
-10
c)
4
d)
-4
116.
Ella played a math game and had five cards shown. Her score was the sum of the numbers on these five cards. What was Ella's score?
a)
3
b)
23
c)
-5
d)
10
117.
A baby weighed 7.25 lb at birth. At the end of 8 months
the baby weighed 2.5 times its birth weight. How many pounds did the baby weigh at the end of 8 months?
a)
14.5 lb
b)
9.75 lb
c)
18.125 lb
d)
14.125 lbs
118.
A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?
a)
b)
c)
d)
119.
A grocery store sells steak for$6.10 per pound. What would be the cost of 2.6 lb of steak?
a)
$14.03
b)
$8.70
c)
$15.86
d)
$12.06
120.
Mario paid a total of $12.24 for 4 packs of soda. How much did he pay for each pack?
a)
$36.72
b)
$3.06
c)
$12.28
d)
$3.60
121.
Which expression represents the model above?
a)
-2+4
b)
-4+2
c)
6-4
d)
4+2
122.
Jack was the running back on his football team. The first play he gained 6 yards, second play loss 20 yards, third play gained 25 yards, and fourth play loss 13 yards. What was his total gains or losses?
a)
-10
b)
-2
c)
64
d)
11
123.
What is 1.2 as a fraction?
a)
3/25
b)
1/2
c)
1 2/5
d)
1 1/5
124.
Convert 0.35 to a fraction.
a)
35/99
b)
7/20
c)
3.5/100
d)
3/5
125.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
126.
How can you write 0.43 as a rational number?
a)
43/10
b)
43/1000
c)
43/100
d)
43/1
127.
Write 4/100 as a decimal
a)
.40
b)
.04
c)
4.4
d)
4
128.
Convert 11/20 from a fraction to a decimal
a)
5.5
b)
.55
c)
.11
d)
.1120
129.
Convert 2/5 from a fraction to a decimal
a)
.02
b)
.04
c)
.2
d)
.4
130.
Which of the marks would represent correctly?
I -6.3 I
I -6.3 I
a)
Blue
b)
Green
c)
Red
d)
Orange
131.
The Blue Mark could represent what number?
a)
5.2
b)
-5.2
c)
4.7
d)
5.7
132.
What is the definition of absolute value
a)
a negative number away from zero
b)
the distance a number is from zero
c)
a positive number away from zero
d)
a number called zero
133.
Order the integers from least to greatest. | ||
| 4, –4, –2, 2, –8 |
a)
4,-4,-2,2,-8
b)
4, 2, -2, -4, -8
c)
-8, -4, -2, 2, 4
d)
8, 2, -24, -4
134.
Choose the symbol that makes the sentence true.
4 ___ | -4 |
4 ___ | -4 |
a)
<
b)
>
c)
=
135.
Order the numbers from least to greatest:
{43, 0, -9, -4, -88}
{43, 0, -9, -4, -88}
a)
{-88, -4, -9, 0, 43}
b)
{43, 0, -4, -9, -88}
c)
{-88, -9, -4, 0, 43}
d)
{-4, -9, -88, 0, 43}
136.
Select all numbers whose absolute value is greater than 8.
a)
| 11 |
b)
|-7|
c)
|-8|
d)
| 4 |
e)
|-13|
137.
Order from greatest to least: -12, 15, -1, 3,
a)
15, 3, -1, -12
b)
15, 3, -12, -1
c)
-1, -12, 3, 15
d)
-12, -1, 3, 15
138.
What is the opposite of 1/4?
a)
-4
b)
- 1/4
c)
1/4
d)
4
139.
Which phrase best describes the position of the opposite of 4?
a)
four whole number units to the left of 0
b)
four whole number units to the right of 0
c)
four whole number units to the left of 4
d)
four whole number units to the right of 4
140.
If you are at SEA LEVEL, you are at
______on a number line.
______on a number line.
a)
Positive
b)
Negative
c)
Zero
141.
Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder?
a)
neither they were equal
b)
Monday
c)
Tuesday
d)
Friday
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