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Worksheets

Rational Numbers

Total questions: 80

Worksheet time: 5hrs 31mins

Name
Class
Date
1.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

whole, integer, rational

2.

What is the best classification for this number? -4

a)

rational

b)

whole

c)

integer

d)

whole, integer, rational

3.

Numbers like -3,-2,-1,0,1,2,3 are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

All of the above

4.

What is the best classification for this number? 10

a)

whole, integer, rational

b)

whole

c)

integer

d)

rational

5.

What is the best classification for this number? .35

a)

whole

b)

rational

c)

whole, integer, rational

d)

real

6.
An example of an integer is...
a)
9.1
b)
8/9
c)
-9
d)
-2.3
7.
A rational number is a number that can be written as a ...
a)
big number
b)
ratio or fraction
c)
letter
d)
taco
8.
A whole number is...
a)
a big number
b)
a fraction
c)
a negative number
d)
a number with NO fractional part or decimal
9.
An integer is...
a)
a whole number (NOT fraction) that can be negative
b)
a fraction
c)
a decimal number
d)
fun!
10.
What kind of number is 9?
a)
rational, integer
b)
rational, integer, whole
c)
whole, integer
d)
integer only
11.
Which is ordered from least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
12.
Fill in the blank with the correct sign >, < , or =
-3/4 ________ -4/5
a)
>
b)
<
c)
=
13.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
14.
Put the rational numbers in order from least to greatest.
-4.2, -4 1/2, -4, 0, 4 
a)
0, -4 1/2, -4.2, 4, -4
b)
-4 1/2, -4.2, -4, 0, 4
c)
-4 1/2, -4.2, -4, 4, 0
15.

Order the numbers from greatest to least.

a)

-2.35, -2.54, -2.01, 2.01, 2.35, 2.54

b)

2.54, 2.35, 2.01, -2.01, -2.35, -2.54

c)

2.01, 2.35, 2.54, -2.54, -2.35, -2.01

d)

2.54, 2.35, 2.01, -2.54, -2.35, -2.01

16.

Order the following numbers in descending order. (greatest to least)
4.2 , 412, 4 , 4 , 0-4.2\ ,\ -4\frac{1}{2},\ -4\ ,\ 4\ ,\ 0  

a)

412, 4.2 , 4 , 4 , 0-4\frac{1}{2},\ -4.2\ ,\ -4\ ,\ 4\ ,\ 0  

b)

0 ,  4 , 4 , 4.2 , 4120\ ,\ \ 4\ ,\ -4\ ,\ -4.2\ ,\ -4\frac{1}{2}  

c)

4 , 0 , 4 , 4.2 , 4124\ ,\ 0\ ,\ -4\ ,\ -4.2\ ,\ -4\frac{1}{2}  

d)

4 , 0 , 4, 412 , 4.24\ ,\ 0\ ,\ -4,\ -4\frac{1}{2}\ ,\ -4.2  

17.

What is the opposite of point A?

a)

-5

b)

5

c)

-1/5

d)

1/5

18.

Brayden wrote five integers in

order from greatest to least on

the white board. One of the

numbers accidentally got erased.

What could the missing number

be?

a)

-16

b)

-20

c)

-11

d)

-9

19.
Put the rational numbers in order from least to greatest.
-1, -1.1, -1.5, -1.15, -0.5
a)
-1.5, -1.15, -1.1, -1, -0.5
b)
-1.1, -1, -1.5, -1.15, -0.5
c)
-0.5, -1.1, -1, -1.5, -1.15
20.

Which point on the number line best represents -1.2?

a)

A

b)

B

c)

C

d)

D

e)

E

21.
What decimal represents point L on the number line?
a)
0.5
b)
0.3
c)
5
d)
.05
22.
What decimal represents point J on the number line?
a)
0.4
b)
0.3
c)
3
d)
.03
23.
What decimal does the green dot represent on the number line?
a)
7.88
b)
7.8
c)
7.80
d)
7.89
24.
What fraction and decimal represents where point "a" is on the number line?
a)
2/10 or 0.2
b)
2/100 or 0.02
c)
3/10 or 0.3
d)
3/100 or 0.03
25.
What fraction and decimal represents where point "e" is on the number line?
a)
10/10 or 1.0
b)
10/10 or .10
c)
10/100 or .010
d)
10/100 or .10
26.
Find the value of a.
a)
0.55
b)
0.61
c)
0.56
d)
0.59
27.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

28.

What numbers represent points A, B and C on the number line? Check all that apply

a)

-4/5

b)

0.2

c)

-0.2

d)

-0.4

e)

2/5

29.

Label Point C

a)

5/6

b)

-2/6

c)

-2/3

d)

-1/2

30.
a)

-1/2

b)

0.9

c)

1/4

d)

5/4

31.
Evaluate.
| -13| + | 24| =
a)
12
b)
-37
c)
37
d)
10
32.
∣-5∣ _____ ∣5∣
a)
<
b)
>
c)
=
33.
∣-61∣ ____ ∣5∣
a)
<
b)
>
c)
=
34.
Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 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
35.
what is the absolute value of -|24|? 
a)
-24
b)
24
c)
98
d)
11
36.
what is the absolute value of -|14|?
a)
14
b)
21
c)
33
d)
-14
37.

Order from Least to Greatest

|-5|, 3, -4, -1

a)

-4, -1, 3, |-5|

b)

|-5|, -4, -1, 3

c)

-1, -4, |-5|, 3

d)

-4, 3, -1. |-5|

38.

Order from Least to Greatest:

-13, -7, -18, |-14|, |5|

a)

-18, -13, -7, |5|, |-14|

b)

-18, |-14|, -13, -7, |5|

c)

-7, -13, |-14|, -18, |5|

d)

|5|, -7, -13, |-14|, -18

39.

Order from Least to Greatest

|-24|, -23, -18, |15|

a)

-23, -18, |15|, |-24|

b)

|15|, -18, -23, |-24|

c)

-18, -23, |15|, |-24|

d)

|-24|, -24, -23. -18, |15|

40.

Carrie hires three people to do work in her house. The table shows Carrie's balance with each person at the end of the week.

Carrie owes the greatest amount to which person?

a)

Patricia, because -314 > -160 and -314 > -275.

b)

Patricia, because -314 has the greatest absolute value of the values in the table.

c)

Paul, because -160 > -314 and -160 > -275.

d)

Paul, because -160 has the greatest absolute value of the values in the table.

41.

John hires three restaurants to cater a party. The table shows John's balance with each restaurant at the end of the party.

John owes the greatest amount to which restaurant?

a)

Chipotle, because -379 > -503 and -379 > -289.

b)

Chipotle, because -379 has the greatest absolute value of the values in the table.

c)

Chick-fil-a, because -503 > -379 and -503 > -289.

d)

Chick-fil-a, because -503 has the greatest absolute value of the values in the table.

42.

Stacey hires three exterminators to take care of pests at her house. The table shows Stacey's balance with each exterminator at the end of the day.

Stacey owes the greatest amount to which exterminator?

a)

Bobby, because -421 has the greatest absolute value of the values in the table.

b)

Joe, because -505 has the greatest absolute value of the values in the table.

c)

Bobby, because -421 > -505 and -421 > -415.

d)

Joe, because -505 > -421 and -505 > -415.

43.

Caden hires three restaurants to make pizza for a pizza party. The table shows Caden's balance with each pizza place at the end of the party.

Caden owes the greatest amount to which pizza place?

a)

Papa Murphy's, because -200 has the greatest absolute value of the values in the table.

b)

Domino's, because -120 has the greatest absolute value of the values in the table.

c)

Domino's, because -120 > -200 and -120 > -55.

d)

Papa Murphy's, because -200 > -120 and -200 > -55.

44.

Shawn records the amount of money he earns and spends each day for one week. A negative amount represents money the Shawn spends.

Determine whether each statement is correct.

a)

Shawn earns more on Thursday than he spends on Tuesday.

b)

Shawn spends more on Wednesday than he earns on Saturday.

c)

Shawn earns less on Monday than he spends on Wednesday.

d)

Shawn spends the same amount on Friday as he earns on Sunday.

45.

Ranger records the amount of money he earns and spends each day for one week. A negative amount represents money the Ranger spends.

Determine whether each statement is correct.

a)

Ranger earns more on Tuesday than he spends on Monday.

b)

Ranger spends more on Friday than he earns on Saturday.

c)

Ranger earns less on Thursday than he spends on Wednesday.

d)

Ranger spends the same amount on Sunday as he earns on Saturday.

46.

Rachel records the amount of money he earns and spends each day for one week. A negative amount represents money the Rachel spends.

Determine whether each statement is correct.

a)

Rachel earns more on Tuesday than she spends on Saturday.

b)

Rachel spends more on Monday than she earns on Thursday.

c)

Rachel earns less on Sunday than she spends on Saturday.

d)

Rachel spends the same amount on Wednesday as she earns on Tuesday.

47.

Kevin records the amount of money he earns and spends each day for one week. A negative amount represents money the Kevin spends.

Determine whether each statement is correct.

a)

Kevin earns more on Wednesday than he spends on Friday.

b)

Kevin spends more on Monday than he earns on Saturday.

c)

Kevin earns less on Wednesday than he spends on Thursday.

d)

Kevin spends the same amount on Friday as he earns on Tuesday.

48.

A tour group is going sea diving. One diver is already at –11 ft. The tour guide is keeping watch on a platform 5 ft above sea level, directly above the diver. Write an absolute value inequality comparing the distances of the tour guide and the diver to sea level. Who is closer to sea level?

The is closer to sea level because .

a)

diver

b)

tour guide

c)

-11 < 5

d)

|-11| > |5|

49.

A family is going snorkeling. One family member is at –8 ft below sea level. Another family member is taking pictures from the boat 9 ft above sea level, directly above their snorkeling family member. Write an absolute value inequality comparing the distances of the family member taking pictures and the family member snorkeling. Who is closer to sea level?

The is closer to sea level because .

a)

family member taking pictures

b)

family member snorkeling

c)

-8 < 9

d)

|-8| < |9|

50.

Some kids are swimming. One kid is at –4 ft below sea level. Another kid is about to do a cannonball directly above the other child, 3 ft above sea level. Write an absolute value inequality comparing the distances of the kid swimming and the kid about to cannonball. Who is farther from sea level?

The is farther from sea level because .

a)

kid swimming

b)

kid about to cannonball

c)

-4 < 3

d)

|-4| > |3|

51.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
52.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
53.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
54.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
55.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
56.
The coordinate plane is divided by a horizontal number line called what? 
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
57.
The vertical number line in the coordinate plane is called what? 
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
58.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
59.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
60.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
61.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
62.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
63.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
64.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
65.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

66.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
67.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
68.

Which ordered pair describes a point located 5 units to the left of the origin, and 3 units below the x-axis?

a)

(5, 3)

b)

(-5, -3)

c)

(5, -3)

d)

(-5, 3)

69.
How do you correctly write an ordered pair?
a)
(y,x)
b)
(x,y)
c)
(0,0)
d)
(yy,x)
70.

Which quadrant is (-4,5) in?

a)

Q 1

b)

Q 2

c)

Q 3

d)

Q 4

71.

What is the distance between points (8, 7) and (10, 7)?

a)

23 units

b)

5 units

c)

2 units

d)

12 units

72.

What is the distance of (8, -8) and (8, 7)?

a)

15 units

b)

1 units

c)

8 units

d)

7 units

73.

What is the distance between (8, 10) and (8, 3)?

a)

36 units

b)

16 units

c)

5 units

d)

7 units

74.

Draw a coordinate plane. What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

75.

Draw a coordinate plane. Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

76.

Find the distance for :

(-3,5) and (4,5)

a)

-7 Units

b)

1 Units

c)

7 Units

d)

-1 Units

77.

When points are in the DIFFERENT quadrant you :

a)

add the values

b)

add the absolute values

c)

subtract the values

d)

subtract the absolute values

78.

When points are in the SAME quadrant you :

a)

add the values

b)

add the absolute values

c)

subtract the values

d)

subtract the absolute values

79.

Find the distance for :

(-3, 4) and (-3,-3)

a)

-7 Units

b)

1 Units

c)

7 Units

d)

-1 Units

80.

What is the distance between (-1,-2) and (-3,-2?

a)

2

b)

5

c)

7

d)

0