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Worksheets

Add, subtract, multiply and divide positive and negative numbers

Total questions: 85

Worksheet time: 6hrs 15mins

Name
Class
Date
1.

3 - (-9)

a)

12

b)

-6

c)

6

d)

-12

2.

-10 - 20

a)

30

b)

-30

c)

10

d)

-10

3.

-5 - (-25)

a)

-20

b)

20

c)

30

d)

-30

4.
100 + 92
a)
8
b)
-192
c)
192
d)
-8
5.

92 + (-94)

a)

-2

b)

2

c)

186

d)

-186

6.

(-8) + (-2)

a)

-6

b)

10

c)

6

d)

-10

7.

When you multiply or divide and signs are the same, you get a...

a)

Positive

b)

Negative

8.

When you multiply or divide and signs are different, you get a...

a)

Positive

b)

Negative

9.

(-9)(-8)

a)

-72

b)

72

c)

17

d)

-17

10.

(4)(-7)

a)

-11

b)

28

c)

11

d)

-28

11.
-20/5=
a)
-4
b)
4
c)
-100
d)
100
12.

-30/-10=

a)

-30

b)

-3

c)

3

d)

30

13.

When you add integers with the same sign...

a)

you always get a positive

b)

you always get a negative

c)

you add and keep the sign

d)

you subtract and take the sign of the larger number

e)

you keep, change, change

14.

When you add integers with different signs...

a)

you always get a positive

b)

you always get a negative

c)

you add and keep the signs

d)

you subtract and take the sign of the larger number

e)

you keep, change, change

15.

When you subtract integers...

a)

you always get a positive

b)

you always get a negative

c)

you add and keep the sign

d)

you subtract and take the sign of the larger number

e)

you keep, change, change

16.

What must you do first when dividing rational numbers

a)

MULTIPLY AND THEN SIMPLIFY

b)

FIND THE RECIPROCAL OF THE DIVISOR

c)

CROSS PRODUCT

d)

ADD

17.

When adding or subtracting RATIONAL NUMBERS with LIKE DENOMINATOR denominator you should

a)

multiply the denominators

b)

add or subtract the numerators

c)

keep the denominator

d)

simplify if need

18.

How do you write a whole number as a fraction

a)

whole number over 1

b)

1 over the whole number

19.

To find one half of 56, "of" you would use what operation?

a)

multiply

b)

divide

c)

add

d)

subtract

20.

Which of the following would be needed to multiply mixed numbers?

a)

simplify

b)

turn the mixed numbers into an improper fraction

c)

multiply numerators

d)

multiply denominators

e)

add numerators

21.

What would be the reciprocal of 14/1

a)

14

b)

14:1

c)

1/14

d)

1:14

22.

A fraction represents which operation

a)

addition

b)

subtraction

c)

multiplication

d)

division

23.

Which operation is represented by the parenthesis in the expression below:

3(c + 2)

a)

addition

b)

subtraction

c)

multiplication

d)

division

24.

TRUE or FALSE

A positive number times a negative number will give you a negative answer.

a)

True

b)

False

25.

TRUE or FALSE

A negative number times a negative number will give you a positive number.

a)

True

b)

False

26.

TRUE or FALSE:

A negative number divided by a positive number will give you a negative answer.

a)

True

b)

False

27.

When adding or subtracting rational numbers, what must you have?

a)

Common Numerator

b)

Quick Answering Skills

c)

Common Numbers

d)

Common Denominators

28.

When you are multiplying rational numbers you first

a)

ADD AND MULTIPLY

b)

MULTIPLY BY THE RECIPROCAL

c)

SIMPLIFY AND THEN MULTIPLY

d)

SUBTRACT AND ROLL

29.

WHICH OF THE FOLLOWING IS NOT A NEGATIVE RATIONAL NUMBER?

a)

-5/8

b)

-3/-6

c)

-(-4)/-9

d)

4/-(-9)

30.

How do you change fractions into decimals? −57\frac{-5}{7}  

a)

Add -5 + 7.

b)

Subtract -5 - 7.

c)

Multiply -5 x 7.

d)

Divide -5 / 7.

31.

How do you change a mixed number into a decimal?   3143\frac{1}{4}  

a)

Divide 3 / 4.

b)

Divide 13 / 4.

c)

Multiply.

d)

Subtract

32.

How do you change a decimal to a fraction? −0.14-0.14  

a)

-1/4

b)

-14

c)

-14/100

d)

-14/1000

33.

How do you order and compare rational numbers?

a)

Add them.

b)

Subtract them.

c)

Change them to variables.

d)

Change them to decimals and compare place values.

34.

How do you add rational fractions? −27 + 4 12-\frac{2}{7}\ +\ 4\ \frac{1}{2}  

a)

Change Mixed numbers into improper fractions.

b)

Get common denominators and equivalent fractions.

c)

Follow Adding Rules across the top and keep the same denominator.

d)

All of the above.

35.

How do you add rational decimal numbers? 0.14 + (−6.18)0.14\ +\ \left(-6.18\right)  

a)

Line up decimals with the greater absolute value on top.

b)

Get common denominators.

c)

Keep - Change - Opposite

d)

Be rational.

36.

How do you subtract rational numbers? (−7.18) − (−8.25)\left(-7.18\right)\ -\ \left(-8.25\right)  

a)

Multiply the values.

b)

Divide the values.

c)

Keep - Change - Opposite

d)

Make mixed numbers.

37.

How do you find distance between numbers?

a)

Subtract and take the absolute value.

b)

Multiply.

c)

Divide

d)

Make mixed numbers.

38.

Rational numbers include ...

a)

Integers

b)

Fractions

c)

Decimals

d)

All of the above.

39.

When solving problems with rational numbers, ALWAYS ...

a)

use decimals.

b)

use fractions.

c)

add.

d)

ATTACH the CORRECT SIGN to your answer!

40.

When Multiplying/Dividing Mixed Numbers you MUST 1st...

a)

Find the square roots.

b)

Subtract.

c)

Turn them to IMPROPER FRACTIONS!

d)

Find common denominators.

41.

Do you set up an addition or subtraction problem for ... 0.14 + (−6.18)0.14\ +\ \left(-6.18\right)  

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

42.

When MULTIPLYING DECIMALS count the decimal places in each factor and ...

a)

Move that total amount of decimal places in your answer.

b)

Subtract.

c)

Find the square root.

d)

BE HAPPY!

43.

When dividing DECIMALS ...

a)

Subtract.

b)

Square the answer.

c)

Multiply.

d)

Move the decimal OVER in the divisor, OVER the same amount in the dividend, and put it UP in the answer.

44.

When DIVIDING FRACTIONS ...

a)

Add the fractions.

b)

Get a common denominator.

c)

Keep the 1st fraction, Change to multiplication, and Flip the 2nd fraction to its reciprocal.

d)

Subtract the fractions.

45.

When MULTIPLYING FRACTIONS...

a)

You MUST get a common denominator.

b)

Multiply across the top, multiply across the bottom.

c)

Add the fractions.

d)

Subtract the fractions.

46.

The answer to this expression is ... −27 + 4 12-\frac{2}{7}\ +\ 4\ \frac{1}{2}  

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

d)

All of the above.

47.

When MULTIPLYING AND DIVIDING a (Negative)(Negative) =

a)

a POSITIVE answer.

b)

a NEGATIVE answer.

c)

a square root.

d)

a mess.

48.

When ADDING a (Negative) + (Negative) =

a)

a POSITIVE answer.

b)

a NEGATIVE answer because you move further to the left on the number line.

c)

a million.

d)

a hundred and one.

49.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
50.
Melody had to make a visit to the bank because her account was overdrawn by $32.  After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?
a)
$100
b)
-$78
c)
$68
d)
$32
51.
Jack and Jill are going up a hill. They walk 15 feet up. Then Jack drops the bucket so they have to chase it 12 feet down. After getting the bucket, they sprint up the hill 5 feet because of a swarm of bees. Jill then decides she is too tired to make the rest of the trip. How far did they make it?
a)
32 feet
b)
8 feet
c)
22 feet
d)
-2 feet
52.
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
53.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
54.
 A soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team’s profit is the amount the team made after paying for supplies. Write a sum of integers that represents the team’s profit.
a)
-55 + 275 = -220
b)
none
c)
55 + 275 = 220
d)
-55 + 275 = 220
55.
-15 ÷ 3
a)
5
b)
-5
c)
45
d)
-45
56.
3 + -7
a)
10
b)
4
c)
-10
d)
-4
57.
33 + (-38)
a)
5
b)
-5
c)
71
d)
-71
58.
-24 ÷ (-8)
a)
3
b)
-3
c)
192
d)
-192
59.
-6 x (12)
a)
-18
b)
18
c)
-72
d)
72
60.
-9 + (-5)
a)
-14
b)
14
c)
-4
d)
4
61.
-8 - (-4) =
a)
12
b)
-12
c)
4
d)
-4
62.
Carla's credit card statement showed that she owed $350. She made a payment of $200, then she charged $23 for gasoline.  She returned a sweater she charged earlier for a refund of $35. Then she charged $15 at the bookstore. What is her new balance?
a)
$623
b)
$477
c)
$153
d)
$396
63.
When multiplying or dividing a NEGATIVE number and a POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
d)
One
64.
When multiplying or dividing a NEGATIVE number and another NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
d)
Zero
65.
4 x (-7)
a)
-24
b)
28
c)
24
d)
-28
66.
What do we call the distance a number is from zero on a number line?
a)
integers
b)
properties
c)
real numbers
d)
absolute value
67.
What are the steps to solve the following expression?
50 − 16 ÷ 2
a)
add, multiply
b)
subtract, divide
c)
divide, subtract
d)
subtract, multiply
68.
When adding integers, if the signs are DIFFERENT you...
a)
Add the numbers
b)
Subtract the numbers
c)
Multiply the numbers
d)
Take the absolute value of the numbers
69.
(x7)3
a)
x21
b)
x10
c)
x4
d)
x343
70.
(5x)3
a)
15x3
b)
125x3
c)
5x3
d)
125x
71.
(6x3y7)3
a)
6x9y21
b)
18x9y21
c)
216x9y21
d)
18x6y10
72.

simplify 5x3  2x2

a)
10x5
b)
3x
c)
10x6
d)
7x5
73.
Simplify to an equivalent expression BUT leave in exponent form.
                                   43⋅45
a)
48
b)
168
c)
415
d)
1615
74.
x0
a)
x
b)
0
c)
1
d)
Undefined
75.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
76.
x-7
a)
-7
b)
-7x
c)
1/x7
d)
-1/x7
77.
3-3
a)
27
b)
-9
c)
-1/9
d)
1/27
78.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
79.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
80.
a)
13
b)
43
c)
11.6
d)
41.6
81.
In scientific notation, negative exponents represent ___ numbers.
a)
small
b)
large
82.
In scientific notation, positive exponents represent ___ numbers.
a)
small
b)
large
83.
Convert 8.99 x 10^-6
a)
0.00000899
b)
0.000000899
c)
899,000,000
d)
8,990,000
84.
Simplify (-8)-2
a)
1/(-8)2
b)
1/82
c)
1/64
d)
-64
85.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70

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