Free Printable Integers and exponents

1.

Which letter on the number line represents -1?

a)

A

b)

B

c)

C

d)

D

2.

What is the value of K?

a)

8

b)

9

c)

10

d)

11

3.

a $12 discount

a)

-12

b)

12

4.

a loss of 9 pounds

a)

9

b)

-9

5.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

6.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

7.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

8.

Find the equivalent expression.

9 x 9 x 9 x 9 x 9

a)

9⁵

b)

9¹⁵

c)

9 x 5

d)

9 + 9 + 9 + 9+ 9

9.

20 x 20 x 20 in exponential form is

a)

20 x 3

b)

20³

c)

3²⁰

10.

What is the value of 7¹?

a)

1

b)

7

c)

0

d)

14

11.

5² , in this example 2 is the _____________

a)

base

b)

exponent

12.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

13.

5⁰, 3⁰, 25⁰and 18⁰are all equal to

a)

0

b)

1

c)

itself

d)

negative

14.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

15.

What does the term"cubed" mean?

a)

raised to the power of 2

b)

raised to the power of 3

c)

raised to the power of 4

16.

Evaluate: (-2)³

a)

-6

b)

-8

c)

8

d)

6

17.

What does -2⁴ mean?

a)

-2(4)

b)

-2(-4)

c)

(-2)(-2)(-2)(-2)

d)

-(2)(2)(2)(2)

18.

Evaluate: -2⁴

a)

-16

b)

16

c)

-8

d)

8

19.

Evaluate: -3²

a)

-6

b)

9

c)

-9

d)

6

20.

Evaluate: -5²

a)

25

b)

10

c)

-25

d)

-10

21.

Evaluate: (-5)²

a)

25

b)

10

c)

-25

d)

-10

22.

Evaluate: (-3)²

a)

-6

b)

9

c)

-9

d)

6

23.

What does (-9)³mean?

a)

-(9)(9)(9)

b)

(-9)(3)

c)

(-9)(-9)(-9)

d)

(-9)(9)(9)

24.

Evaluate: (-9)³

a)

-729

b)

27

c)

-27

d)

729

25.

-15+8=

a)

23

b)

7

c)

-7

26.

11 x -9 =

a)

-99

b)

-20

c)

99

d)

2

27.

7 + (-16) =

a)

23

b)

-9

c)

9

28.

(25 + 25) x 0

a)

25

b)

50

c)

0

d)

5

29.

20 + (-7) =

a)

-13

b)

13

c)

27

30.

5x7+(-27)=

a)

35

b)

-100

c)

-8

d)

8

e)

-35

31.

In the expression 2⁵, what is the EXPONENT?

a)

5

b)

2

32.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

33.

18¹=

a)

18

b)

0

c)

324

d)

1

34.

2,250 below sea level.

a)

2,250

b)

-2,250

35.

| –3 |

a)

3

b)

-3

c)

0.30

d)

30

36.

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

37.

Which set of integers is written in order from GREATEST to LEAST?

a)

-3, -9, -6

b)

-3, 2, 5

c)

2, -1, -3

d)

4, 10, 12

38.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

39.

Which operation should be done first?
3² · 48 ÷ (15 - 3) =

a)

3 x 48

b)

48 ÷ 15

c)

15 - 3

d)

48 - 12

40.

Which operation should be done second?
(4 - 2)³ · 9 + 7 =

a)

exponents

b)

subtraction

c)

addition

d)

multiplication

41.

What are the steps to solve the following expression?
50 − 16 ÷ 2 · (12 + 4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

42.

Solve:
(-7)(3) + (8 ÷ 4) =

a)

23

b)

-3.25

c)

-19

d)

2

43.

Solve:
120 - 5 · 2 + 18 ÷ 2 =

a)

119

b)

124

c)

64

44.

Solve:
7 + 5(6 - 3)²=

a)

232

b)

52

c)

1,296

d)

13

45.

Solve:
5² - 2³ · (3 - 1) - 4 =

a)

-4

b)

30

c)

5

46.

-5 + 6 - (-9) - 1

a)

-9

b)

1

c)

9

d)

2

47.

Which operation must be performed first?
5² + (9 - 1) ÷ 4 × 10 + 1

a)

5²

b)

9 - 1

c)

4 × 10

d)

10 + 1

48.

True or False:
5(-2) - 3 = -7

a)

True

b)

False

49.

True or false: all addition must be simplified before any subtraction

a)

True

b)

False

50.

12 - (-4)_² + 4

a)

32

b)

8

c)

-8

d)

0

51.

True or False: When you square a negative number, it becomes positive.

a)

True

b)

False

52.

Find and explain the error.
5 - 3 + 2
5 - 5
0

a)

There is no error.

b)

Addition was done first and you should have subtracted first

c)

There is a subtraction error

53.

-4(-1 + 8)

a)

-36

b)

28

c)

-28

54.

Solve:
(-7)(3) + (8 ÷ 4) =

a)

23

b)

-3.25

c)

-19

d)

2

55.

An ___________________ is a number that tells us how many times the base is multiplied by itself.

a)

exponent

b)

PEMDAS

c)

addition

d)

product

56.

*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)

Evaluate the expression:
$15+2^3-4\cdot5$

(a)

57.

*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)

Evaluate the expression:
$3+1\cdot\left(2+6\right)\div4$

(a)

58.

*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)

Evaluate the expression:
$3^2\div\left(7-4\right)+8$

(a)

59.

34 + [ 16 - (8-3)]

a)

34

b)

29

c)

45

d)

28

60.

7[12 − (6 − 2) ÷ 4]

a)

7

b)

77

c)

14

d)

0

61.

Compare. Use <, > or =.
2³_____ 4²

a)

<

b)

>

c)

=

62.

(7-4)² + (20-19)- 10

a)

-3

b)

57

c)

0

d)

1

63.

Half of 12²is

a)

12

b)

144

c)

72

d)

24

64.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

65.

Rewrite using a positive exponent.
g^-7

a)

¹/_g⁷

b)

g⁷

c)

¹/_g^-7

d)

-g⁷

66.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

67.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

68.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

69.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

70.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

71.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

72.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

73.

Express the following in standard notation:
8.025 x 10^-⁸

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

74.

$a^6$ $a\cdot a^2\cdot a^3$

a)

$a^{12}$

b)

$a^{-6}$

c)

$\frac{1}{a^6}$

d)

$6a^5$

75.

According to exponent rules, when we divide the expressions we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

76.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

77.

Simplify the expression x⁵x⁷

a)

x³⁵

b)

x¹²

c)

x²

d)

x^-2

78.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

Integers and exponents

Total questions: 78

Worksheet time: 3hrs 55mins

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