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Worksheets

Integer operations

Total questions: 110

Worksheet time: 7hrs 58mins

Name
Class
Date
1.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

2.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

3.

Evaluate: |0|

a)

0

b)

-0

c)

+0

d)

There is no answer

4.

What is the definition of an opposite?

a)

The distance a number is to zero

b)

A number with the same digit(s) but opposite sign

5.

Find the absolute value of -17.

17\left|-17\right|  

a)

17\left|17\right|  

b)

-17

c)

17

6.

Find the absolute value of -808.

808\left|-808\right|  

a)

808

b)

808\left|808\right|  

c)

-808

7.

Find the absolute value of 4.

4\left|4\right|  

a)

-4

b)

4\left|-4\right|  

c)

4

8.

Find the absolute value of  32\left|-\frac{3}{2}\right|  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

32\left|\frac{3}{2}\right|  

9.

Solve the absolute value.

|-10|

a)

10

b)

-10

10.

Solve the absolute value.

|37|

a)

-37

b)

37

11.

The additive inverse of any integer is?

a)

Its negative value

b)

Its positive value

c)

Neither negative nor positive

d)

None of these

12.

The additive invers of -11 is?

a)

11

b)

-11

c)

0

d)

10

13.

The additive inverse of 9 is?

a)

0

b)

1

c)

-9

d)

-10

14.

( ) + 16=0

a)

-15

b)

-16

c)

0

d)

16

15.

7 + (-7)=

a)

7

b)

0

c)

8

d)

10

16.

100 + (-100)=

a)

0

b)

200

c)

100

d)

-100

17.

(-50) + 50=

a)

-50

b)

50

c)

0

d)

100

18.

(-8) + =0

a)

9

b)

6

c)

3

d)

8

19.
Which is the greatest integer?
a)
-33
b)
-31
c)
-28
d)
-17
20.
Which is the least integer?
a)
1
b)
-1
c)
-2
d)
-8
21.

What does additive inverse mean? Choose ALL that are correct.

a)

The number itself

b)

The number needed to make zero when you add

c)

A number's distance from zero

d)

The opposite of a number

22.

What is the additive inverse of -77?

a)

77

b)

-77

23.

_________ + -50 = 0

a)

-50

b)

0

c)

50

24.

0 = _______ + 84

a)

0

b)

-84

c)

84

25.

Additive Inverse of -10

(a)  

26.

Every number and its opposite equals 0.

a)

True

b)

False

27.

What is the combined value of 1 negative and 1 positive? Why?

a)

-2, because there's a negative

b)

0, because they form a zero pair

c)

+2, because there's a positive

d)

1, because there's a one

28.

What is the value?

a)

8

b)

-8

c)

0

d)

4

29.

What is the value?

a)

11

b)

-11

c)

-3

d)

3

30.

What is the value?

a)

-2

b)

5

c)

2

d)

+2

31.

The total value is 6

a)

True

b)

False

32.

Is the final answer positive or negative?

a)

Positive

b)

Negative

c)

Positive 3

d)

Negative 6

33.

What is the total value?

a)

4

b)

-1

c)

+2

d)

-2

34.

Which of the following do you think could possibly represent the image?

a)

5 - 5

b)

0

c)

5 + (-5)

d)

5 + 5

35.

How do you feel about today's lesson?

a)

I don't get it :(

b)

I got it a little?

c)

I just need a little practice, almost there

d)

TOO easy

36.
What is a zero pair? 
a)
Two negatives
b)
Two positives
c)
One negative, one positive
37.
a)
7
b)
5
c)
-7
d)
-5
38.

Which number sentence best reflects the number line?

a)

5 + (-9)

b)

5 + 9

c)

9 + (-5)

d)

-9 + 5

39.

Which number sentence best represents the number line?

a)

- 5 + 11

b)

6 + (-5)

c)

11 - 6

d)

6 + (-11)

40.

In your own words, tell me how to use a number line to find the sum of -3 + -6. Make sure to use our vocabulary words like "positive numbers, negative numbers, number line".

4 lines
41.
When you add opposites, what do you get?
a)
0
b)
A negative number
c)
Attraction
d)
You cannot add opposites
42.

When you add a negative number, the arrow goes to

a)

left (opposite)

b)

right

c)

neither

d)

both directions

43.
When adding positive numbers on a number line, you move to the ____________.
a)
Right
b)
Left
44.
A football team loses 3 yards on one play and loses 6 yards on the next play. How many total yards have they lost?
a)
3
b)
18
c)
19
d)
9
45.

Frank takes $6.50 out of his bank account. Which letter correctly shows this situation on the number line as it relates to Frank's bank account?

a)

A

b)

B

c)

C

d)

D

46.

Use the number line to find the SUM.

- 8 + 3 =

a)

- 11

b)

- 5

c)

11

d)

5

47.

A football player caught the ball and made a gain of 12 yards on the first play. On the next play the team lost 18 yards. What's the team's total yards on both plays?

a)

-6

b)

6

c)

30

d)

-30

48.
Which situation could the integer -50 represent?
a)
An increase of $50 in a bank account
b)
The temperature on a warm spring day
c)
The distance driven on the way to the beach
d)
A decrease of 50 employees
49.
Which problem does not have a sum of (-4)?
a)
(-9) + (-5)
b)
3 + (-7)
c)
(-9) + 5 
d)
(-3) + (-1)
50.
Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test.  Which equation best describes Bob progress on his math test?
a)
5 + 9 = 14
b)
-5 + -9 = -4
c)
-5 + -9 = -14
d)
5 + -9 = -4
51.
Which are the correct steps for rewriting a subtraction problem into addition?
a)
1) Keep first number the same
2) Keep Subtraction sign
3) Change second number to opposite
b)
1) Keep first number the same
2) Change Subtraction into Addition
3) Change second number to opposite
c)
1) Change the first number into the opposite
2) Change Subtraction to Addition
3) Keep second number the same
d)
1) Change the first number into the opposite
2) Change Subtraction to Addition
3) Change second number to opposite
52.
Emily is a diver. Today she descended to a depth of 40 feet below sea level. Then she swam up 10 feet and descended another 4 feet. How far below sea level is Emily now?
a)
-34 feet
b)
-54 feet
c)
54 feet
d)
-26 feet
53.
How would you rewrite -10 - 5?
a)
10 + (-5)
b)
-10 + 5
c)
-10 + (-5)
d)
10 + 5 
54.

Rewrite the expression

7 - (-6)

a)

7 - 6

b)

7 + (-6)

c)

7 + 6

d)

-7 + (-6)

55.

-4 - 7

a)

-11

b)

11

c)

-3

d)

3

56.
-7 x 4
a)
24
b)
28
c)
-28
d)
-24
57.
12 x -4
a)
-24
b)
-36
c)
-60
d)
-48
58.

-5 x -8

a)

-40

b)

-13

c)

-45

d)

40

59.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
60.
-3(-4)
a)
-12
b)
c)
-7
d)
12
61.
-32/8
a)
-4
b)
-5
c)
4
d)
24
62.
(-4)(-5)
a)
-9
b)
-20
c)
9
d)
20
63.
-36/6 =
a)
6
b)
-6
c)
32
d)
-32
64.
-3(-5) =
a)
15
b)
-15
c)
-8
d)
8
65.
Evaluate:
−30÷2
a)
−15
b)
15
c)
10
d)
−10
66.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
67.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
68.
-7(10)=
a)
70
b)
700
c)
-70
d)
-700
69.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
70.
44/-4=
a)
11
b)
-8
c)
-11
d)
-1/11
71.
-30/-10=
a)
-30
b)
-3
c)
3
d)
30
72.
-8(0)=
a)
-8
b)
8
c)
0
d)
-80
73.
-3(-4)
a)
-12
b)
c)
-7
d)
12
74.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
75.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
76.
Is the product
–8 • (–3) positive or negative?
a)
negative
b)
positive
c)
both
d)
neither
77.
Is the product
–8 • (–3) positive or negative?
a)
negative
b)
positive
c)
both
d)
neither
78.
-8(-6)
a)
48
b)
-48
c)
-14
d)
14
79.
(-1)(-1)(-1)(-2)
a)
2
b)
-2
c)
-5
d)
5
80.
(-2)(-4)(-3)
a)
24
b)
-24
c)
8
d)
-21
81.
If there are an odd number of negatives in a problem, the answer is
Example: (-4)(-5)(-2)
a)
Positive
b)
Negative
82.

-10 x 3 x -2

a)

-60

b)

60

c)

63

d)

-30

83.
When dividing integers....
a)
follow the same rules as multiplying integers
b)
Follow the same rules as adding integers
c)
Follow the same rules as subtracting integers
d)
Always do the opposite
84.
Which results in a number larger than 70?
a)
70 x -10
b)
70 - (-10)
c)
70 + (-10)
85.
Solve:
(-2)(-1)(-3)(-4)(-1)
a)
-11
b)
24
c)
-24
d)
11
86.
What is the first step in changing a mixed number to an improper fraction?
a)
Add the numerator and denominator
b)
Add the whole number to the numerator
c)
Multiply the numerator and denominator
d)
Multiply the whole number and the denominator
87.
What is the first step in changing an improper fraction to a mixed number?
a)
Divide the denominator by the numerator
b)
Divide the numerator by the denominator
c)
Make the remainder the numerator
d)
Keep the denominator the same
88.

What is true about Improper Fractions?

a)

All Improper Fractions are greater than 1.

b)

All improper fractions have numerators that are bigger than their denominators.

c)

All improper fractions can be turned into a mixed number.

d)

All of these statements are true!

89.

Which statement about Mixed Numbers is true?

a)

A mixed number has a whole number and a fraction in it.

b)

Mixed numbers are always greater than 1.

c)

Mixed numbers can be turned into improper fractions using MAD

d)

All of these statements are true!

90.

Change this mixed fraction into an improper fraction.

a)

5/4

b)

4/5

c)

11/4

d)

4/11

91.

Change this mixed fraction into an improper fraction.

a)

21/4

b)

9/4

c)

4/9

d)

2/4

92.
Write 3/2 as a mixed number.
a)
1   1/4
b)
3/4
c)
1   1/2
d)
2   1/3
93.
Write 9/5 as a mixed number.
a)
1    4/5
b)
1    4/9
c)
5   1/4
d)
4   1/5
94.
Write this improper fractions as a mixed number.
a)
11   1/2
b)
10   1/2
c)
12   1/4
d)
20
95.

Change this mixed fraction into an improper fraction.

a)

24/4

b)

35/4

c)

11/3

d)

28/3

96.
-11 - (-4)
a)
7
b)
-15
c)
-7
d)
25
97.
28 - (-14) = 
a)
18
b)
-14
c)
-42
d)
42
98.
17 - 22 = 
a)
6
b)
-5
c)
39
d)
-39
99.

What is 16 - (-9) ?

a)

-7

b)

11

c)

15

d)

25

100.
-7 - 2
a)
-9
b)
9
c)
5
d)
-5
101.
The Tigers football team gained 7 yards, lost 8 yards, and then lost 7 more yards.  What is the total result of these three plays?
a)
a gain of 8 yards
b)
a loss of 8 yards
c)
a gain of 22 yards
d)
a loss of 22 yards
102.
What is -29 - 11?
a)
40
b)
-12
c)
-18
d)
-40
103.
2 - (-2) = 
a)
0
b)
4
c)
-4
d)
-2
104.

8 - 7 = ?

a)

15

b)

-15

c)

1

d)

-1

105.
-1 - 10 = 
a)
-9
b)
9
c)
-11
d)
none of these
106.
-8 - (-6) = 
a)
-14
b)
14
c)
-2
d)
2
107.
-1 - (-3) = 
a)
-2
b)
-4
c)
4
d)
2
108.
-1 - (-40)= 
a)
-39
b)
-41
c)
41
d)
39
109.

9 - (-2)

a)

7

b)

-7

c)

11

d)

-11

110.

28 -14

a)

14

b)

32

c)

-32

d)

-14