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Exponents & Scientific Notation Review

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.

In the number 34, the 3 is the:

a)

power

b)

base

c)

exponent

d)

integers

2.

What is the base for the power 93?

a)

9

b)

3

c)

9 x 9 x 9

d)

729

3.
To square a number is to use what mathematical operation?
a)
Division
b)
Subtraction
c)
Multiplication
d)
Addition
4.

Write 3 x 3 x 3 x 3 using an exponent.

a)

81

b)

34

c)

43

d)

12

5.

What would the exponent be if the product of 4 x 4 x 4 x 4 x 4 is written as a power?

a)

4

b)

5

c)

1,024

d)

20

6.

Select all possible options below that are equivalent to 65

a)

7,776

b)

5 x 5 x 5 x 5 x 5x 5

c)

30

d)

6 x 6 x 6 x 6 x 6

e)

15,625

7.

What is the value of 502 ?

a)

100

b)

33,554,432

c)

25

d)

2,500

8.

Select all possible options below that are equivalent to 74

a)

7 x 7 x 7 x 7

b)

4 x 4 x 4 x 4 x 4 x 4 x 4

c)

28

d)

16,384

e)

2,401

9.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
10.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
11.

Which option lists the numbers in order from largest to smallest?

a)

32, 23, 61

b)

61, 23, 32

c)

22, 61, 32

d)

32, 61, 23

12.

True or false: 34 is larger than 43

a)

True

b)

False

13.

What is the term for the number that tells how many times the base is used as a factor?

a)

Expression

b)

Exponent

c)

Factor

d)

Base

14.

True or false: 25 is the same as 2 x 5

a)

True

b)

False

15.

Which is GREATER: 27 or 72

a)

27

b)

72

c)

Neither, they are equal

16.

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

17.

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

18.
What is the value of 71 ?
a)
1
b)
7
c)
0
d)
14
19.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
20.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
21.
x0
a)
x
b)
0
c)
1
d)
Undefined
22.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
23.

When writing a number in scientific notation, the first number (coefficient) must be:

(select all that apply)

a)

Less than 1

b)

Greater than 1

c)

Less than 10

d)

Greater than 10

e)

An integer

24.

In scientific notation, negative exponents represent ___ numbers.

a)

small

b)

large

25.
In scientific notation, positive exponents represent ___ numbers.
a)
small
b)
large
26.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 104

d)

.5 x 10-3

27.

How do you write 8.317 x 106 in standard form?

a)

8,371,000

b)

83,170,000

c)

837,100

d)

8,317,000

28.

Express 8.025 x 10-8 in standard notation:

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

29.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
30.

Express 0.000045 in scientific notation:

a)

4.5 x 10-5

b)

45 x 10-6

c)

4.5 x105

d)

45 x 106

31.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
32.
When your exponent is negative, you move your decimal....
a)
to the right
b)
to the left
c)
to both sides
d)
nowhere.... the decimal goes nowhere
33.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
34.

What is the standard form of 1.245 x 103 ?

a)

0.001245

b)

12.45

c)

1245

d)

0.0001245

35.

Convert to scientific notation: 520,000,000

a)

52 x 107

b)

5.2 x 107

c)

5.2 x 108

d)

0.52 x 109

36.

The Earth is approximately 9.3 x 107 miles from the sun. How far is that in standard form?

a)

93,000,000

b)

930,000,000

c)

93.7

d)

93 billion

37.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
38.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
39.

Fortnite has 78.3 million monthly users. Write the number in scientific notation

a)

7.83 x 106

b)

78.3 x 106

c)

7.83 x 107

d)

78,300,000

40.
How many zeros would be in this number if written in standard form?
6.47 x 1011
a)
11
b)
9
c)
10
d)
12

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