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Scientific Notation

Total questions: 72

Worksheet time: 6hrs 0mins

Name
Class
Date
1.
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
2.
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
3.
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
4.
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
5.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
6.

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

7.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
8.
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
9.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
10.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
11.
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
12.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
13.
Write 9.8 x 10-5 in standard form
a)
0.00098
b)
0.000098
c)
.098
d)
98,000
14.
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
15.

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

16.
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
17.
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
18.
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
19.
Write 2.08 x 102  in standard form.
a)
208
b)
0.0208
c)
20,800
d)
0.208
20.
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
21.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
22.
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
23.
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
24.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

25.
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
26.

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

27.
(2 x 10-5)+ (7 x 10-5)
a)
9 x 10-10
b)
14 x 10-5
c)
9 x 10-5
d)
1.4 x 10-4
28.
(8 x 104) - (2 x 104)
a)
16 x 1016
b)
16 x 108
c)
6 x 108
d)
6 x 104
29.
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
30.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
31.
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
32.
How would you write 0.0005 in scientific notation?
a)

50 x 10-5

b)

5 x 10-4  

c)

5 x 10-3

d)

.5 x 10-3

33.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
34.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
35.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
36.
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
37.
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
38.
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
39.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
40.
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
41.
UNDERSTANDING
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
42.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
43.
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
44.
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
45.
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
46.
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
47.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
48.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
49.
Which number is correctly written in scientific notation?
a)
3.2867 x 10-7
b)
21.8689 x 10-4
c)
0.1537 x 105
50.
Which number is correctly written in scientific notation?
a)
10.4 x 103
b)
9.99 x 106
c)
143.002 x 10-4
51.
Write in scientific notation: 
241 million
a)
2.41 x 108
b)
2.41 x 107
c)
24.1 x 108
52.
Write in scientific notation: 
241 million
a)
2.41 x 108
b)
2.41 x 107
c)
24.1 x 108
53.
Light travels at a rate of 186,000 miles per second.  Write this number in scientific notation.
a)
1.86 x 105
b)
1.86 x 104
c)
18.6 x 104
d)
186 x 103
54.
The closest galaxy to our own is over 2,500,000 light years away.  Write this number is scientific notation.
a)
2.5 x 107
b)
.25 x 107
c)
25 x 105
d)
2.5 x 106
55.

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

56.

Convert the following number to Standard Notation:

3.2456×10−83.2456\times10^{-8}  

a)

0.00032456

b)

3.24560000

c)

0.000000032456

d)

324,560,000

57.

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

58.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
59.
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
60.

What is the standard for of the following expression?

2.83 x 106

a)

0.002830

b)

2,830,000

c)

28300

d)

0.283

61.

Which of the following has the largest value?

3,400,000

3.4 x 10-5

64,000

6.4 x 108

a)

3,400,000

b)

3.4 x 10-5

c)

64,000

d)

6.4 x 108

62.

Which of the following has the smallest value?

2.3 x 102

2.3 x 100

2.3 x 10-2

2.3 x 101

a)

2.3 x 102

b)

2.3 x 100

c)

2.3 x 10-2

d)

2.3 x 101

63.

How is 0.000387 written in scientific notation?

a)

387 x 106

b)

3.87 x 104

c)

38.7 x 10-3

d)

3.87 x 10-4

64.

The standard form of 7.21 x 106 is

a)

721,000,000

b)

721,000

c)

7,210,000

d)

7,210

65.

How would 6.14 x 10-3 be written in standard form?

a)

0.00614

b)

6,140

c)

0.000614

d)

61,400

66.

Which part of the scientific notation expression tells you how many places the decimal point will move?

a)

the coefficient

b)

the power of ten

67.

Which part of the scientific notation expression tells you whether the decimal point moves to the left or the right?

a)

the exponent

b)

the coefficient

c)

the base of 10

68.
Which of the following is NOT true of scientific notation?
a)
The number in front must be between 1 and 9.9
b)
The exponent tells you how many times the decimal was moved
c)
It shortens big numbers
d)
It doesn't always contain x10
69.
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
70.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
71.
Which of the following is NOT true of scientific notation?
a)
The number in front must be between 1 and 9.9
b)
The exponent tells you how many times the decimal was moved
c)
It shortens big numbers
d)

It doesn't always contain x 10

72.

Is this written in scientific notation?

a)

Yes, it is in scientific notation!

b)

No, it's not in scientific notation.

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