Free Printable Exponents and Order of Operations

1.

Which expression is in expanded form?

a)

5³

b)

5x5x5

c)

125

d)

53

2.

Which expression is equivalent to 3⁴?

a)

3+3+3+3

b)

4+4+4

c)

4x4x4

d)

3x3x3x3

3.

Which expression has the largest value?

a)

6²

b)

2⁶

c)

1¹⁰

d)

10¹

4.

7⁰ is equivalent to:

a)

7

b)

0

c)

1

d)

1/7

5.

Which expression is equivalent to 10⁶?

a)

1,000,000

b)

60

c)

3,294,360

d)

600

6.

Which expression is not equivalent to 81?

a)

3⁴

b)

9²

c)

81¹

d)

27³

7.

√16 is equal to-

a)

-16

b)

4

c)

256

d)

8

8.

15 is the square root of-

a)

225

b)

30

c)

45

d)

300

9.

Which is the larger value?

a)

10²

b)

√10,000

c)

they are the same

10.

√70 is closest to which whole number?

a)

8

b)

35

c)

7

d)

9

11.

What is the standard form to this problem? $6^2$

a)

12

b)

36

c)

4

d)

62

12.

How would you write 3x3x3x3x3x3 in exponential notation?

a)

three to the sixth power

b)

729

c)

$3^6$

d)

$3^9$

13.

Which number is the Base? $2^4$

a)

2

b)

4

c)

They both are the base.

d)

None of them is the base.

14.

Which number is the exponent? $6^3$

a)

6

b)

3

c)

They both are the exponent

d)

None of them are the exponent

15.

How would you write $3^4$ in expanded notation?

a)

3 + 3 + 3 + 3

b)

3 x 3 +3 + 3

c)

three to the fourth power

d)

3 x 3 x 3 x 3

16.

How would you say $2^6$ in word form?

a)

Six to the second power

b)

Two and six

c)

Two to the sixth power

d)

64

17.

What is $10^{7\ }$ equal to?

a)

10,000,000

b)

100,000,000

c)

100,000

d)

$10^{4\ }+\ 10$

18.

25 x $10^4$ =

a)

250,000,000

b)

25,000

c)

250,000

d)

25,000,000

19.

5.635 x $10^3$ =

a)

563.5

b)

5,635.0

c)

56.35

d)

.5635

20.

23.456 $\div$ $10^2$ =

a)

.23456

b)

2,345.6

c)

2.3456

d)

.023456

21.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

22.

Any number written to the 0 power is always 1
Example: 8⁰=1

a)

True

b)

False

23.

5⁴=

a)

20

b)

625

c)

1024

24.

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

25.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

26.

2⁵ is the same as 2 x 5.

a)

True

b)

False

27.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

28.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

29.

Which of the following is a PERFECT SQUARE

a)

121

b)

10

c)

150

d)

300

30.

Which of the following is NOT a PERFECT SQUARE

a)

25

b)

64

c)

149

d)

225

31.

Which is equivalent to 3^{4 ?}

a)

27

b)

9

c)

81

d)

12

32.

Which is equivalent to 5 x 5 x 5 x 5

a)

5³

b)

5⁴

c)

4⁵

d)

5⁵

33.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

34.

Which is equivalent to 4 x 4 x 4 x 4 x 4

a)

4⁶

b)

5⁴

c)

4⁴

d)

4⁵

35.

The exponent equivalent of 20 x 20 x 20 is:

a)

20 x 3

b)

20³

c)

3²⁰

d)

2000

36.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

37.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

38.

How would you represent 8⁶ ?

a)

8 x 6

b)

8 x 8 x 6

c)

8 x 8 x 8 x 8 x 8 x 8

d)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

39.

What operation do you use with exponents?

a)

addition

b)

subtraction

c)

multiplication

d)

division

40.

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

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

41.

Pick the correct sequence of steps for Order of Operations:

a)

Parentheses, Multiplication/Division, Addition/Subtraction, Brackets, Braces

b)

Multiplication/Division, Addition/Subtraction, Parentheses, Brackets, Braces

c)

Parentheses, Brackets, Braces, Multiplication/Division, Addition/Subtraction

d)

Parentheses, Braces, Brackets, Addition/Subtraction, Multiplication/Division

42.

12 - 4 x 2 =

a)

16

b)

4

c)

8

d)

18

43.

What would be my first step? 3 + 4 x 6 - 4 =

a)

Addition

b)

Multiplication

c)

Subtraction

d)

Division

44.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

45.

Which operation would you do first?

(12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

46.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

47.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

48.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

49.

(82 ÷ 2) × 3 – 17 =

a)

206

b)

100

c)

106

d)

5

50.

(24 - 16) ÷ 8 =

a)

8

b)

1

c)

2

d)

7

51.

12 - 4 x 2 =

a)

16

b)

4

c)

8

d)

18

52.

(7 + 41) ÷ 2 – 15 =

a)

19

b)

9

c)

25

d)

3

53.

18 + (6 – 2) × 2 =

a)

26

b)

29

c)

44

d)

40

54.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

55.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

56.

10 + 45 ÷ 9 -(14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

57.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

58.

18 − 4 × 2 =

a)

28

b)

16

c)

10

d)

12

59.

_{18 + 2 x 4 =}

a)

80

b)

26

c)

24

d)

13

60.

Solve.
25 - 14 + 3 =

a)

14

b)

8

c)

11

d)

10

61.

7 x (7 - 4) ÷ 3 =

a)

8

b)

6

c)

7

d)

5

62.

(4 x 8) - (9 + 7) =

a)

16

b)

25

c)

41

d)

32

63.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

64.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

65.

Pick the correct order for Order of Operations

a)

Parentheses, Multiplication, Division, Addition, Exponents, Subtraction

b)

Exponents, Multiplication, Division, Addition, Parentheses, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

66.

[ (6 ÷ 2) x 6 + 4 x 7]

a)

141

b)

49

c)

46

d)

344

67.

[ (8 ÷ 2) x (10 x 5) ] ÷ 5

a)

12

b)

5

c)

40

d)

65

68.

[ ( 10 x 3) ] ÷ 5

a)

18

b)

12

c)

2 r 3

d)

6

69.

[ ( 6 x 3) ] x 2 ÷ 9

a)

2

b)

4

c)

14

d)

62

70.

[ ( 2 + 6) ÷ 2 x 5 ]

a)

20

b)

25

c)

40

d)

18

71.

[ ( 7 x 6) ] ÷ 6

a)

17

b)

6

c)

2 r 1

d)

7

72.

PEMDAS only works if....

a)

You add then subtract

b)

You subtract then add

c)

add or subtract right to left

d)

add or subtract left to right

73.

What step would I do second ?
(4-2) x 9 + 7 =

a)

multiplication

b)

subtraction

c)

addition

d)

dividing

74.

Bridget simplified the numerical expression below. Select the step she should have completed first.
9+4÷[4X(5-4)]

a)

multiply the difference by 2

b)

Add 9 and 4

c)

Multiply 4 and 5

d)

Subtract 4 from 5

75.

What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

76.

2 x 9 ÷ 3

a)

5

b)

7

c)

8

d)

6

77.

6 + (4)3

a)

18

b)

30

c)

13

d)

42

78.

4(8) ÷ (8 − 6)

a)

-2

b)

18

c)

-1

d)

16

79.

PEMDAS only works if....

a)

You add then subtract

b)

You subtract then add

c)

add or subtract right to left

d)

add or subtract left to right

80.

15 x 19 + 18 ÷ 6 =

a)

250

b)

199

c)

400

d)

288

81.

(10 + 33 - 3) ÷ 8

a)

13

b)

3

c)

5

d)

11

82.

(9 + 39) ÷ (11 - 5) =

a)

17

b)

14

c)

9

d)

8

83.

20 x 20 - (10 x 15)

a)

250

b)

375

c)

450

d)

4,505

84.

(9 + 23) ÷ (5 - 3) =

a)

16

b)

32

c)

15

d)

12

85.

What words can you use to help you solve simple expressions and equations?

a)

Please Excuse My Unlce Henriy

b)

Please Excuse My Dear Aunt Sally

c)

Does McDonalds Sell Cheese Burgers

d)

QPRS

86.

Anne bought 2 shirts for $10 each and pants for $12. Which expression represents how much she will spend altogether?

a)

(2 +10) x 12

b)

(2 x 10) +12

c)

(2 +10) +12

d)

(2 X10) X12

87.

What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)

a)

parentheses
multiplication
subtraction
division

b)

parentheses
multiplication
division
subtraction

c)

parentheses
division
multiplication
subtraction

d)

parentheses
subtraction
multiplication
division

88.

$\left(4\times15\right)-3$

a)

2

b)

57

c)

5

d)

24

89.

$10-\left(7+1\right)$

a)

2

b)

4

c)

6

d)

8

90.

$18\ \div\left(6+3\right)$

a)

4

b)

8

c)

12

d)

2

91.

$5+18\div6$

a)

2

b)

10

c)

8

d)

4

92.

$6^2-3\cdot4$

a)

20

b)

26

c)

24

d)

30

93.

$42\div\left(15-2^3\right)$

a)

6

b)

4

c)

12

d)

14

94.

$4^2\cdot2+8\cdot7$

a)

80

b)

14

c)

50

d)

88

95.

$3^2+12\div\left(6-3\right)\times8$

a)

41

b)

51

c)

31

d)

32

96.

$\left(10+4\right)\div\left(26-19\right)$

a)

4

b)

2

c)

8

d)

10

97.

$\left(5^2-4\right)\cdot2-18$

a)

20

b)

22

c)

24

d)

28

98.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

99.

Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

100.

Evaluate the equation:
(10+5) -6

a)

9

b)

10

c)

11

d)

12

101.

Evaluate the equation:
4 · 3 - 7

a)

10

b)

20

c)

41

d)

5

102.

17 - 5 · 3

a)

2

b)

36

c)

3

d)

35

103.

7 - 9 ÷ 9

a)

18

b)

6

c)

1

d)

3

104.

20 - 5 x 2

a)

30

b)

10

c)

50

105.

4 + 2 x 7

a)

42

b)

14

c)

18

d)

56

106.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

107.

15 + 7 × 2 – 11 + 35=

a)

38

b)

251

c)

53

d)

50

Exponents and Order of Operations

Total questions: 107

Worksheet time: 3hrs 10mins

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