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Worksheets

Operations with Negative Numbers

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

Always change ____________ to add the opposite

a)

addition

b)

subtraction

c)

multiplication

d)

division

2.

The opposite of a negative integer is a...

a)

positive integer

b)

positive fraction

c)

negative integer

d)

negative fraction

3.

The reciprocal of a negative integer is a...

a)

positive integer

b)

positive fraction

c)

negative integer

d)

negative fraction

4.

The sum of two negative numbers is...

a)

always positive

b)

always negative

c)

sometimes positive and sometimes negative

5.

The sum of a negative and a positive number is...

a)

always positive

b)

always negative

c)

sometimes positive and sometimes negative

6.

The product of two negative numbers is...

a)

always positive

b)

always negative

c)

sometimes positive and sometimes negative

7.

The product of a negative and a positive number is...

a)

always positive

b)

always negative

c)

sometimes positive and sometimes negative

8.


 21÷(3+4) =21\div\left(-3+-4\right)\ =  



(a)  

9.

 52-5^2   and  (5)2\left(-5\right)^2  have the same value

a)

True

b)

False

10.

 223+12÷418÷9=\frac{2^2-3+12\div4}{-18\div9}=  



(a)  

11.

3 - (-9) =

a)

12

b)

-6

c)

6

d)

-12

12.

-10 - 20 =

a)

30

b)

-30

c)

10

d)

-10

13.

-5 - (-25) =

a)

-20

b)

20

c)

30

d)

-30

14.

92 + (-94) =

a)

-2

b)

2

c)

186

d)

-186

15.

(-8) + (-2) =

a)

-6

b)

10

c)

6

d)

-10

16.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
17.

-30/-10=

a)

-30

b)

-3

c)

3

d)

30

18.

True or False: The magnitude of a number is always positive or zero.

a)

True

b)

False

19.

When adding two numbers with different signs, the sum will have the sign of the number...

a)

that comes first

b)

that comes second

c)

with the greater magnitude

d)

with the lesser magnitude

20.

Omar played a math game and had cards with the five values shown below.


7 , 1 , -5 , 2 , -10


His score was the sum of the numbers on these five cards. What was Omar's score?

a)

-5

b)

25

c)

5

d)

-9

21.

Evaluate:


-8( -3 + -10 ) + (-5) =

a)

109

b)

99

c)

-109

d)

-99

22.

Ms. W purchased 5 shirts for $12 each and a movie for $25. She purchased the items using her debit card. The change in balance of Ms.W’s checking account can be represented by the expression shown:

5(-12) + (-25)


Which integer represents the change in balance of Carol’s checking account from these purchases?

a)

35

b)

-35

c)

-85

d)

-80

23.

What is the opposite of 11?

a)

1/11

b)

0.11

c)

11

d)

-11

24.

What is the reciprocal of 11?

a)

1/11

b)

0.11

c)

11

d)

-11

25.

Evaluate:


8 + (-4) ÷ 4 =

a)

-7

b)

1

c)

-1

d)

7

26.

Evaluate:


-2 ⋅ (3 + 8 ÷ 4)2 =

a)

-16

b)

1.375

c)

4

d)

-50

27.

The temperature on Sunday was -15o C. The next day, the temperature had dropped 12 degrees. What was the temperature the next day?

a)

-27o C

b)

27o C

c)

-3o C

d)

3o C

28.

The lowest temperature on Thursday was -20o C. The lowest temperature on Saturday was -12o C. What was the difference between the lowest temperatures?

a)

13o C

b)

32o C

c)

8o C

d)

9o C

29.

A submarine is 130 feet below the water. A helicopter is 220 feet in the air directly above the submarine. Which expression could represent the distance between the submarine and the helicopter?

a)

130 - 220

b)

220 - 130

c)

220 - (-130)

d)

(-220) - (-130)

30.

Suppose you start walking from the school and travel three blocks east, then six blocks west, then eleven blocks east again.


Which expression could represent how far away from the school you are?

a)

3 + (-6) + (-11)

b)

(-3) + 6 + (-11)

c)

3(-6)(-11)

d)

(-3)(6)(-11)

31.

True or False: The rules for dividing with negatives are the same as those for multiplying with negatives

a)

True

b)

False

32.

At 6 AM, the temperature at an Arctic drilling station was -32 oF. By 2 PM, the temperature had increased to 12 oF.


What was the average rate of change in the temperature over this time period?

a)

5.5 oF/hr

b)

0.18 oF/hr

c)

11 oF/hr

d)

2.75 oF/hr

33.

In golf, points are called "strokes," and negative scores are better than positive scores. Consider the table shown. Norman is how many strokes behind the leader?

(a)  

34.

In golf, points are called "strokes," and negative scores are better than positive scores. Consider the table shown. How many strokes seperate the golfer in first place from the golfer in last place?

(a)  

35.

In business, we can represent profits with positive numbers and losses with negative numbers.


Suppose a car dealership sold 35 cars at an average loss of $200 and also sold 50 trucks at an average profit of $300. Which expression gives the overall profit of this dealership?

a)

35 + (-200) + 50 + 300

b)

35·(-200) + 50·300

c)

35·(-200)·50·300

d)

35·200 - 50·300

36.

Review: A regular polygon is defined as a polygon where all the sides have the same length.


A regular pentagon has five sides and a perimeter of 36 inches. Which equation below could help you find the length of each side?

a)

x+5=36x+5=36

b)

x+36=5x+36=5

c)

5x=365x=36

d)

36x=536x=5

37.

Review: No Calculators: Evaluate:

 23+58 =\frac{2}{3}+\frac{5}{8}\ =  

a)

 1 7241\ \frac{7}{24}  

b)

 711\frac{7}{11}  

c)

 724\frac{7}{24}  

d)

 3 373\ \frac{3}{7}  

38.

Review: No calculators: Which of the following are equivalent to

 3 233\ \frac{2}{3}  ?
Check all that apply.

a)

 3.33.\overline{3}  

b)

 3.63.\overline{6}  

c)

 3.23.\overline{2}  

d)

 113\frac{11}{3}  

e)

 33.6%33.\overline{6}\%  

39.

Review: No Calculators: What is 0.525 as a fraction in lowest terms ?

a)

214\frac{21}{4}

b)

2140\frac{21}{40}

c)

525100\frac{525}{100}

d)

5251,000\frac{525}{1,000}

40.

Review: What is 328 rounded to the nearest thousand?

a)

0

b)

1,000

c)

3,000

d)

you can't round this number like that