WorksheetsOrder of Operations with Exponents
Total questions: 100
Worksheet time: 5hrs 4mins
Name
Class
Date
1.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
2.
90 - 52 x 3
a)
15
b)
240
c)
195
3.
2 + (92 - 4)
a)
16
b)
77
c)
79
4.
What step would I do second ? (4-2) x 9 + 7 =
a)
multiplication
b)
subtraction
c)
addition
d)
dividing
5.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
6.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
7.
What does 32 mean?
a)
3 x 2
b)
3 x 3
c)
2 x 2 x 2
8.
40 - 24 + 8
a)
40
b)
32
c)
24
d)
42
9.
Solve the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
10.
Find and explain the error.
5 - 3 + 2
5 - 5
0
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
11.
What are the steps to solve the following expression?
50 − 16 ÷ 2 ∗ (12 + 4)
50 − 16 ÷ 2 ∗ (12 + 4)
a)
parentheses
multiplication
subtraction
division
multiplication
subtraction
division
b)
parentheses
multiplication
division
subtraction
multiplication
division
subtraction
c)
parentheses
division
multiplication
subtraction
division
multiplication
subtraction
d)
parentheses
subtraction
multiplication
division
subtraction
multiplication
division
12.
(15 ÷ 3)2 + 9 ÷ 3
a)
11.3
b)
28
c)
13
13.
3 x 8 - (9 - 7)3
a)
16
b)
18
c)
0
14.
3 x 22 + 24 ÷ 8
a)
15
b)
10.5
c)
4.5
15.
(52 ÷ 4) + 53
a)
28
b)
38
c)
138
16.
27 ÷ 3 x 2 + 42
a)
34
b)
20.5
c)
26
17.
7 + 4 x 23
a)
3,375
b)
39
c)
31
d)
10,648
18.
13 - (28 - 42)
a)
1
b)
-7
c)
7
d)
22
19.
(49 - 52) ÷ 23
a)
6.5
b)
3
c)
1
d)
1.5
20.
Solve the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
21.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
22.
7⁰
a)
1
b)
7
c)
0
d)
-7
23.
In 23 what is the base?
a)
2
b)
3
c)
23
24.
In 23 what is the exponent?
a)
2
b)
3
c)
23
25.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
26.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
27.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
28.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?
?
a)
75
b)
76
c)
67
d)
77
29.
Which is GREATER?
27 or 72
27 or 72
a)
27
b)
72
c)
Neither, they are equal
30.
What is nine cubed in exponential form?
a)
9 x 9 x 9
b)
93
31.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
32.
54=
a)
20
b)
625
c)
1024
33.
Find the equivalent expression.
9 x 9 x 9 x 9 x 9
9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
34.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
35.
25 is the same as 2 x 5.
a)
True
b)
False
36.
Choose the answer.
52
52
a)
10
b)
15
c)
20
d)
25
37.
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
38.
The exponent equivalent of 20 x 20 x 20 is
a)
20 x 3
b)
203
c)
320
39.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
40.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
41.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
42.
Find the equivalent expression.
15×15×15×15
15×15×15×15
a)
154
b)
415
c)
15x4
d)
15+15+15+15
43.
Find the equivalent expression.
9 x 9 x 9 x 9 x 9
9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
44.
The exponent equivalent of 20 x 20 x 20 is
a)
20 x 3
b)
203
c)
320
45.
What is the number in a power that tells how many times the base is used as a factor?
a)
Expression
b)
Exponent
c)
Factor
d)
Term
46.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
47.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
48.
What is nine cubed in exponential form?
a)
9 x 9 x 9
b)
93
49.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
50.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
51.
What is the exponent form for the factors
5 x 5 x 5?
5 x 5 x 5?
a)
35
b)
53
52.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
53.
(15 ÷ 3)2 + 9 ÷ 3
a)
11.3
b)
28
c)
13
54.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
55.
Solve the following:
(2 + 7 - 1) ÷ 22
(2 + 7 - 1) ÷ 22
a)
16
b)
2
c)
72.25
d)
8.75
56.
82 +(7-4)2
a)
74
b)
72
c)
70
d)
73
57.
Evaluate the expression: 2 × 14 ÷ (3² − 2)
a)
3
b)
6
c)
8
d)
4
58.
what does the "E" stand for in PEMDAS
a)
explanation
b)
exponents
c)
expeditiously
d)
Exempt
59.
What strategy we use when we do order of operations
a)
BDPMA
b)
PBMDAS
c)
QTPie
d)
V-Box
60.
Simplify
a)
10
b)
20
c)
7
d)
2
61.
a)
8
b)
2
c)
10
d)
14
62.
a)
17
b)
11
c)
5
d)
20
63.
a)
4
b)
10
c)
5
d)
21
64.
a)
24
b)
36
c)
9
d)
11
65.
a)
2
b)
100
c)
57
d)
5
66.
24 ÷ 6 + 42
a)
12
b)
2
c)
20
67.
35 ÷ 7 x 2 - 4
a)
3.5
b)
-1.5
c)
6
68.
5 ∙ 6 - 12 ÷ 4
a)
4.5
b)
7.5
c)
27
69.
16 - 8 ÷ 2 + 5
a)
17
b)
7
c)
9
70.
2 × 8 – 32 + 2
a)
9
b)
12
c)
0
d)
3
71.
5 × 22 + 32 ÷ 8
a)
11
b)
24
c)
6.5
d)
44
72.
3 × 6 – (9 – 8)3
a)
1
b)
485
c)
7
d)
17
73.
4 + 2 x 7
a)
42
b)
14
c)
18
d)
56
74.
24 ÷ 6 + 42
a)
12
b)
2
c)
20
75.
Which statement is true?
a)
You always multiply before you divide.
b)
You always add before you subtract.
c)
If two numbers are next to each other, like 6(2) that means is 62.
d)
You multiply and divide from left to right.
76.
*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)
Evaluate the expression:
32÷(7−4)+8
(a)
77.
*Use a piece of paper and pencil to answer this question*
TAKE YOUR TIME :)
Evaluate the expression:
3+1⋅(2+6)÷4
(a)
78.
What is the correct way to expand 24 ?
a)
2 + 2 + 2 + 2
b)
4 + 4
c)
2 x 2 x 2 x 2
d)
4 x 4
79.
70 is equivalent to:
a)
7
b)
0
c)
1
d)
1/7
80.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition
81.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
82.
(2+3)2+(3+1)2
a)
18
b)
41
c)
81
d)
9
83.
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
84.
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
85.
Which operation would you do first in the following equation?
10 - 4 ÷ 1 · 5
10 - 4 ÷ 1 · 5
a)
Subtraction
b)
Division
c)
Multiplication
d)
Addition
86.
Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6
( 12 + 10) ÷ 10 · 14 - 6
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
87.
42 - 6
a)
16
b)
8
c)
2
d)
10
88.
(8 + 5) + 8 ÷ 4
a)
5 R 1
b)
16
c)
6 r 1
d)
15
89.
Evaluate the expression.
10×32−4
(a)
90.
Evaluate the expression.
4+52×6
(a)
91.
Evaluate the expression.
60−23×5
(a)
92.
Evaluate the expression.
72÷9+(100−34)
(a)
93.
Evaluate the expression.
150−(7+5)2
(a)
94.
Find and explain the error.
5 - 3 + 2
5 - 5
0
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
95.
What would be my first step? 3 + 4 x 6 - 4 =
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
96.
True or false:
Addition ALWAYS comes before subtraction.
Addition ALWAYS comes before subtraction.
a)
True
b)
False
97.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
98.
3 x 22 + 24 ÷ 8
a)
15
b)
10.5
c)
4.5
99.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
100.
(52 ÷ 4) + 53
a)
28
b)
38
c)
138
100 %
