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M8 Unit 11 Review (Scientific Notation)

Total questions: 98

Worksheet time: 9hrs 44mins

Name
Class
Date
1.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
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.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
4.

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

a)

a really big number.

b)

a really small number.

5.

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

a)

a really large number.

b)

a really small number.

6.
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
7.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

8.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

9.
(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
10.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
11.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

12.
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
13.
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
14.
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
15.
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
16.
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
17.
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
18.

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

19.

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

(a)  

20.

How would you write 4.3756 x 104 in standard form?

(a)  

21.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
22.

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

a)

True

b)

False

23.

How do you write 8.317 x 106 in standard form?

(a)  

24.

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

25.

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

26.

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

27.

Convert this number to standard notation:


7.1 x 104

(a)  

28.

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

29.

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

30.

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

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.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
37.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
38.
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
39.
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
40.
(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
41.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
42.
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
43.
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
44.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
45.
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
46.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
47.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

48.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
49.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
50.
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
51.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
52.
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
53.
Express the following in scientific notation:
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
54.
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
55.
UNDERSTANDING
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
56.
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
57.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
58.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
59.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

60.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
61.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
62.
What is it called when you go from this form to this next form?
0.0088 to 8.8 x 103
a)
Standard form to scientific notation
b)
Scientific notation to regular form
c)
Scientific notation to standard form
d)
Standard form to regular form
63.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
64.
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
65.

Scientific notation is written with a decimal multiplied by a power of 10. The number in front of the decimal can only be...

a)

any number

b)

a number from 1 to 10

c)

a number from 1 to 100

d)

a number from 0 to 9

66.

Level 1

Which of these numbers is correctly written in scientific notation?

a)

1234x10-3

b)

10.5x109

c)

1.234x1011

d)

.5x104

67.

Level 1

Convert the following number in standard form into scientific notation: 2,718,000,000

a)

2.718x107

b)

2.718x10-9

c)

2.718x109

d)

2.178x1010

68.

Level 2

(2 x 109)(4 x 10-4)

a)

8 x 1013

b)

8 x 1036

c)

8 x 105

d)

8 x 10-36

69.

Level 2

(5.3 x 102) x (1.0 x 102)

a)

5.3 x 104

b)

5.3 x 102

c)

6.3 x 102

d)

53 x 104

70.

Level 3

(2.2 x 105) x (4.5 x 102).

a)

9.9 x 1010

b)

6.7 x 107

c)

9.9 x 105

d)

9.9 x 107

71.

Level 3

(9.4 x 106) (3.2 x 105)

a)

30.08 x 1011

b)

3.8 x 1010

c)

3.008 x 1012

d)

1.26 x 1030

72.

Level 4

(1.5 x 103) 2

a)

1.5 x 106

b)

1.5 x 105

c)

2.25 x 106

d)

2.25 x 105

e)

None of these

73.

When multiplying numbers in scientific notation, what do you do with the exponents?

a)

Multiply them

b)

Add them

c)

Keep them the same

d)

Make them equal

74.
What is scientific notation?
a)
A long way to write numbers containing a few digits
b)
A short way to write numbers containing many, many digits
c)
A number written without exponents
d)
None of the above
75.
When multiplying numbers in scientific notation, what do you do to the leading numbers?
For example:
(4×10⁵)(3×10⁻²)
a)
Keep them the same
b)
Divide them
c)
Add them
d)
Multiply them
76.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
77.

If you add to your exponent of 10, you move your decimal...

a)

Left

b)

Right

c)

Up

d)

Down

78.

If you subtract from your exponent of 10, you move your decimal to the ....

a)

Right

b)

Left

c)

North

d)

South

79.

(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

80.

(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

81.

(2.1×10​2​​) × (3.0×10​4)

a)

5.1 x 102

b)

6.3 x 106

c)

5.1 x 106

d)

6.3 x 108

82.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
83.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
84.

(2.8 × 108) (2.2 ×103)

a)

6.16 × 1024

b)

5.0 × 1011

c)

6.16 × 1011

d)

61.6 × 1011

85.

(9.6 × 104)(6.5 × 102)

a)

6.24 × 107

b)

62.4 × 106

c)

6.24 × 108

d)

6.24 × 102

86.

(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

87.

(1.08 × 10-3)(9.3 × 10-3)

a)

1.004 × 10-6

b)

1.004 × 10-5

c)

1.004 × 10-7

d)

10.38 × 10-5

88.

(2 × 10-4)(8.1 × 10-1)

a)

10.1 × 10-5

b)

1.62 × 104

c)

1.62 × 10-5

d)

1.62 × 10-4

89.

(8.4 × 106) ÷ (2.1 × 103)

a)

0.4 × 104

b)

400 × 10-3

c)

4 × 103

d)

4 × 102

90.

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

91.

Solve:

(6 x 106) ÷ (2 x 103)

a)

12 x 103

b)

3 x 109

c)

1.2 x 104

d)

3 x 103

92.

Solve:

(9 x 10-6) ÷ (3 x 10-3)

a)

27 x 10-9

b)

3 x 10-3

c)

3 x 10-9

d)

27 x 10-3

93.

(5.2 x 1013) ÷ (1.3 x 10-7)

a)

3.9 x 106

b)

4 x 1020

c)

4 x 106

d)

3.9 x 1020

94.

(9 x 1018) ÷ (3 x 1016)

a)

3 x 102

b)

6 x 102

c)

27 x 1034

d)

3 x 1034

95.

(8 x 1055) ÷ (2 x 1052)

a)

6 x 103

b)

4 x 103

c)

4 x 10107

d)

4 x 1055

96.

(7.1 × 106) ÷ (8.2 × 101)

a)

8.659 × 105

b)

8.659 × 104

c)

-1.1 × 104

d)

8.659 × 106

97.

(9.45 × 1010) ÷ (1.5 × 106)

a)

6.3 × 104

b)

6.3 × 1016

c)

6.3 × 101.6

d)

7.95 × 104

98.

(3 × 10-2) ÷ (8 × 10-1)

a)

3.75 × 102

b)

3.75 × 10-1

c)

3.75 × 10-2

d)

3.75 × 10-3