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Worksheets

Scientific notation

Total questions: 157

Worksheet time: 4hrs 12mins

Name
Class
Date
1.

How would you write 4.3756 x 104 in standard form?

(a)  

2.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

3.

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

(a)  

4.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
5.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

6.

How do you write 8.317 x 106 in standard form?

(a)  

7.

Which of the following numbers is written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

8.

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

9.

Convert to scientific notation:


520,000,000

a)

52 x 107

b)

5.2 x 10-7

c)

5.2 x 108

d)

0.52 x 109

10.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

11.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

12.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

13.

Convert this number to standard notation:


7.1 x 104

(a)  

14.

Convert this number into scientific notation:


0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

15.

Convert this number to standard notation:


1.4 x 10-2

(a)  

16.

Convert this number into scientific notation:


950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

17.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

18.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

19.

If the exponent on the power of 10 is a positive number...

a)

you will get a large number that is greater than 1

b)

you will get a smaller number that is less than 1

20.

Which of the following numbers is written in correct scientific notation?

a)

64.210264.2\cdot10^2  

b)

6.421036.42\cdot10^3  

c)

0.6421040.642\cdot10^4  

d)

62406240  

21.

Which of these numbers is the smallest?

a)

3.5 x107

b)

3 x108

c)

5 x107

d)

5.5 x106

22.

To compare two numbers that are in scientific notation, first compare the​ (a)   . If they are the same, then compare the​ (b)   .​

Choose from the below words
exponents
decimals
23.

Which of these numbers is the greatest?

a)

9 x 109

b)

8.1 x1010

c)

9.02 x109

d)

6.35 x1010

24.

How is the following number written in scientific notation?

450,000

a)

4.5  x  105

b)

45  x  105

c)

4.5  x  104

d)

4.5  x  106

25.

How is the number below written in scientific notation?

0.000398

a)

39.8  x  10-5

b)

3.98  x  10-5

c)

3.98  x  10-4

d)

39.8  x  10-6

26.

Which of the following is the correct way to write 3.97  x  10-2 in standard form?

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

27.

Which is the correct way to write the number 3.5 x 106  in standard notation?

a)

0.0000035

b)

35,000,000

c)

3,500,000

d)

0.00000035

28.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
29.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
30.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
31.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
32.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
33.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
34.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
35.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
36.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
37.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
38.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000
39.
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
40.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
41.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
42.
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
43.
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
44.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
45.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
46.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
47.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
48.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
49.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
50.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
51.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
52.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
53.
(9.6×10-8)÷(2×10-15)
a)
-4.8×107
b)
4.8×107
c)
4.8×10-7
d)
-4.8×10-7
54.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
55.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
56.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
57.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
58.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
59.

7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very (a)   .

Choose from the below words
Large
Small
Basic
60.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
61.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
62.

Try to change the number back to standard form:  6.79  x  104

(a)  

63.
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
64.

Choose the number that is written in scientific notation.

a)

0.78 x 10-2

b)

7.8 x 103

c)

78.0 x 10-4

d)

780 x 105

65.

Convert the following number to Scientific Notation:

9,000,000

a)

9x10^6

b)

0.9x10^7

c)

9x10^-7

d)

9x10^-6

66.

Convert the following number to Standard Notation:

2.5×1032.5\times10^3  

a)

2,500

b)

25,000

c)

2.500

d)

0.0025

67.

Convert the following number to Scientific Notation:

0.0000378

a)

37.8x10^-6

b)

3.78x10^5

c)

0.378x10^-6

d)

3.78x10^-5

68.

Convert the following number to Standard Notation:

4×1054\times10^5  

a)

0.40000

b)

40,000

c)

400,000

d)

0.00004

69.

Convert the following number to Scientific Notation:

670,400

a)

0.6704x10^-6

b)

6.704x10^5

c)

0.6704x10^6

d)

6.704x10^-5

70.

Convert the following number to Standard Notation:

3.2456×1083.2456\times10^{-8}  

a)

0.00032456

b)

3.24560000

c)

0.000000032456

d)

324,560,000

71.

Convert the following number to Scientific Notation:

0.00000089

a)

0.89x10^6

b)

8.9x10^7

c)

8.9x10^-7

d)

0.89x10^-6

72.

Convert the following number to Standard Notation:

9.7×1079.7\times10^7  

a)

0.00000097

b)

97,000,000

c)

970,000,000

d)

9.7000000

73.

Convert the following number to Scientific Notation:

570,000,000

a)

5.7x10^8

b)

0.57x10^9

c)

5.7x10^-8

d)

0.57x10^-9

74.

Convert the following number to Standard Notation:

8×1028\times10^2  

a)

0.08

b)

8.00

c)

0.008

d)

800

75.

What must be true for the number "a" in scientific notation. Select all that apply.

a)

must be less than 10

b)

must be greater than 1

c)

must be greater than or equal to 1

d)

must be less than or equal to 10

e)

must be less than 1

76.

Write the following number in scientific notation.

360

a)

3.6×1023.6\times10^2  

b)

0.36×1020.36\times10^2  

c)

3.6×1033.6\times10^3  

d)

3.6×1023.6\times10^{-2}  

77.

Write the following number in scientific notation.

0.052

a)

5.2×1015.2\times10^1  

b)

5.2×1015.2\times10^{-1}  

c)

5.2×1025.2\times10^{-2}  

d)

5.2×1025.2\times10^2  

78.

Write the following number in standard form. Type your answer with no spaces and no commas.

5.7×1015.7\times10^{-1}  

(a)  

79.

Write the following number in standard form. Type your answer with no spaces and no commas.

4.35×1054.35\times10^5  

(a)  

80.

Choose the smaller number.

a)

9.5×1049.5\times10^4  

b)

9.21×1079.21\times10^7  

81.

Choose the smaller number.

a)

9.5×1049.5\times10^4  

b)

9.21×1049.21\times10^4  

82.

Choose the bigger number.

a)

2.45×1062.45\times10^{-6}  

b)

7.3×1087.3\times10^{-8}  

83.

Write the following number in scientific notation correctly.

942.1×108942.1\times10^8  

a)

9.421×1089.421\times10^8  

b)

9.421×1059.421\times10^5  

c)

9.421×10119.421\times10^{11}  

d)

9.421×10109.421\times10^{10}  

84.

Write the following number in scientific notation correctly.

0.00002×1050.00002\times10^{-5}  

a)

2×10112\times10^{-11}  

b)

2×10102\times10^{-10}  

c)

2×1002\times10^0  

d)

2×1092\times10^{-9}  

85.

Evaluate the following expression.

(2.1×106)(6×103)\left(2.1\times10^6\right)\left(6\times10^3\right)  

a)

1.26×10101.26\times10^{10}  

b)

1.26×1091.26\times10^9  

c)

3.5×1013.5\times10^1  

d)

3.5×1023.5\times10^2  

86.

Evaluate the following expression.

1.4×1007.2×103\frac{1.4\times10^0}{7.2\times10^3}  

a)

0.1944×1010.1944\times10^{-1}  

b)

1.944×1011.944\times10^{-1}  

c)

1.944×1041.944\times10^4  

d)

1.944×1041.944\times10^{-4}  

87.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
88.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
89.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
90.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
91.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
92.

Consider Scientific Notation...

5 Which is the correct coefficient of 147,000 when it is written in scientific notation

a)

147

b)

14.7

c)

1.47

d)

0.147

93.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
94.
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
95.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
96.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
97.
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
98.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
99.
Write 9.8 x 10-5 in standard form
a)
0.00098
b)
0.000098
c)
.098
d)
98,000
100.
Write 0.000972 in scientific notation.
a)
9.72 x 10-4
b)
9.72 x 10-3
c)
972 x 10-4
d)
9.72 x 104
101.

Which is the correct coefficient of 23,400,000 when it is written in scientific notation?

a)

0.234

b)

2.34

c)

234.

d)

23.4

102.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
103.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
104.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
105.
Write 2.08 x 102  in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
106.
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
107.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
108.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
109.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
110.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
111.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
112.
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
113.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
114.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
115.

Convert to scientific notation:

520,000,000

a)

52 x 107

b)

5.2 x 10-7

c)

5.2 x 108

d)

0.52 x 109

116.

Write 7.113 x 107 in standard form.

a)

71,130,000

b)

7,113,000

c)

0.0000007113

d)

7,113

117.
Write 0.00000707 in scientific notation.
a)
7.07 x 10-6
b)
7.07 x 106
c)
707 x 108
d)
707 x 10-8
118.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
119.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
120.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
121.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
122.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
123.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
124.
How do you write 1.28 x 10-4
a)
0.128
b)
0.0000128
c)
0.0128
d)
0.000128
125.

Write in scientific notation. 0.0000000000000913

a)

9.13 x 1014

b)

9.13 x 10-14

c)

9.13 x 1013

d)

9.13 x 10-13

126.
What is 1.1 x 10in standard form? 
a)
11,000,000
b)
11 x 108
c)
1,100
d)
1.1
127.
Write 3,450,000 in scientific notation.
a)
34.5 x 106
b)
3.45 x 106
c)
3.45 x 107
d)
34.5 x 105
128.
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
129.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
130.

(34)(37)

a)

328

b)

33

c)

3-3

d)

311

131.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
132.
(58) / (53)
a)
55
b)
15
c)
511
d)
111
133.
(85)3
a)
88
b)
815
c)
82
d)
1/82
134.
(t-6)-5
a)
t-11
b)
t-30
c)
t30
d)
t11
135.
x-42
a)
142/x
b)
x42/1
c)
x/142
d)
1/x42
136.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
137.
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
138.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
139.
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
140.
What is the simplified form of
(3.25 x 103)(7.8 x 106)
a)
2.535 x 1010
b)
2.535 x 1018
c)
2.535 x 1019
d)
2.535 x 109
141.
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
142.
Write 0.00000054 in scientific notation.
a)
54 x 108
b)
5.4 x 107
c)
54 x 10-8
d)
5.4 x 10-7
143.
Write 3.5 x 106  in standard notation.
a)
0.0000035
b)
35,000,000
c)
3,500,000
d)
0.00000035
144.
Write 42,000 in scientific notation.
a)
42.000 x 103
b)
4.2 x 10 -4
c)
4.2 x 104
d)
0.42 x 105
145.
Write 9.31 x 10-5               in standard notation.
a)
93,100,000
b)
931,000
c)
0.00000931
d)
0.0000931
146.
Write 3.629 x 107          in standard notation.
a)
36,290,000,000
b)
36,290,000
c)
0.00000003629
d)
0.00003629
147.
Write 5,890,000,000 in scientific notation.
a)
5.89 x 109
b)
0.589 x 1010
c)
589 x 107
d)
5.89 x 10-9
148.
Write 0.0003 in scientific notation.
a)
3 x 104
b)
3 x 10-4
c)
0.3 x 103
d)
0.3 x 10-3
149.
Write 0.216 in scientific notation.
a)
216 x 103
b)
216 x 10-3
c)
2.16 x 101
d)
2.16 x 10-1
150.
Write 8.063 x 10-4                   in standard notation.
a)
0.00008063
b)
80,630
c)
0.0008063
d)
80,630,000
151.
Write 0.000009 in scientific notation.
a)
9 x 10-6
b)
9 x 106
c)
0.9 x 10-5
d)
0.9 x 105
152.
Write 2.07 x 105     in standard notation.
a)
20,700,000
b)
0.00000207
c)
0.0000207
d)
207,000
153.
Write 8 x 108   in standard notation.
a)
80,000,000
b)
800,000,000
c)
0.000000008
d)
0.00000008
154.
Write 4 x 10-3   in standard notation.
a)
0.0004
b)
0.004
c)
4,000
d)
4.000
155.
Write 7,000,000 in scientific notation.
a)
0.7 x 107
b)
7 x 10-6
c)
7 x 106
d)
70 x 105
156.
Write 6,081,000,000,000 in scientific notation.
a)
0.6081 x 1013
b)
6.081 x 10-12
c)
6081 x 109
d)
6.081 x 1012
157.
Write 5.43 x 10-7               in standard notation.
a)
0.000000543
b)
0.0000000543
c)
5,430,000,000
d)
54,300,000