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Scientific Notation Worksheets - Page 12

Scientific Notation Worksheets
  • Page 12
 111.  
One meter is equal to 100 centimeters. Identify this number in scientific notation.
a.
1 x 101 cm
b.
1 x 103 cm
c.
1 x 102 cm
d.
None of the above


Solution:

A number in scientific notation is the product of two factors. The first factor is a number between 1 and 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 100 is 1
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 102.
[The decimal point is moved 2 places to the left. Use this number as the exponent of 10.]

100 centimeters in scientific notation is 1 x 102 centimeters.


Correct answer : (3)
 112.  
One mean solar day is equal to 86400 mean solar seconds. Identify this number in scientific notation.
a.
8.64 x 103
b.
8.64 x 105
c.
8.64 x 104
d.
None of the above


Solution:

A number in scientific notation is the product of two factors. The first factor is a number between 1 and 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 86400 is 8.64
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 104.
[The decimal point is moved 4 places to the left. Use this number as the exponent of 10.]

One Mean Solar Day in scientific notation is equal to 8.64 x 104 Mean Solar Seconds.


Correct answer : (3)
 113.  
Identify 5.2 × 103 in standard form.
a.
5.2
b.
5200
c.
520
d.
52000


Solution:

5.2 × 103 = 5200
[Multiplying by 1000 moves the decimal point 3 places to the right.]

The standard form of 5.2 × 103 is 5200.


Correct answer : (2)
 114.  
Identify 5.619 × 108 in standard form.
a.
561900000
b.
5619000000
c.
56190000
d.
None of the above


Solution:

5.619 × 108 = 561900000
[Multiplying by 100000000 moves the decimal point 8 places to the right.]

The standard form of 5.619 × 108 is 561900000.


Correct answer : (1)
 115.  
The total area occupied by South Carolina is about 3.2 × 104 square miles. Identify the number in standard form.
a.
32,000
b.
320,000
c.
320
d.
3,200


Answer: (a)


Correct answer : (1)
 116.  
The total men in the Civilian Labor Force in the U.S. in the year 2001 was about 7.5743 x 107. Identify this number written in standard form.
a.
7,57,430
b.
7,574,300
c.
75,743,000
d.
None of the above


Solution:

7.5743 x 107 = 75,743,000
[Multiplying by 10,000,000 moves the decimal point 7 places to the right.]

The total men Civilian Labor Force in the standard form is 75,743,000.


Correct answer : (3)
 117.  
One kilogram is equal to 1 × 103 grams. Identify this number in standard form.
a.
1000 gm
b.
100 gm
c.
10 gm
d.
None of the above


Solution:

1 × 103 = 1000
[Multiplying by 1000 moves the decimal point 3 places to the right.]

The representation of 1 × 103 in standard form is 1000 gm.


Correct answer : (1)
 118.  
The total number of cellular phone subscribers in the U.S. in the year 2000 was about 1.1 × 108. Identify this number in standard form.
a.
11,100,000
b.
11,000,000
c.
111,000,000
d.
110,000,000


Solution:

1.1 × 108 = 110,000,000
[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

The total number of Cellular Phone Subscribers in standard form is 110,000,000.


Correct answer : (4)
 119.  
Write 0.00002 in scientific notation.
a.
2
b.
2 × 10-5
c.
2 × 106
d.
2 × 105


Solution:

A number is expressed in scientific notation as a product of two factors. The first factor is a number between 1 and 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 0.00002 is 2.
[Move decimal point 5 places to the right to get a factor between 1 and 10.]

The second factor is 10-5.
[As the decimal point is moved 5 places to the right, take exponent of 10 as - 5.]

So, the scientific notation of 0.00002 is 2 × 10-5.


Correct answer : (2)
 120.  
Identify 434 × 10-2 in standard form.
a.
4340
b.
43.4
c.
4.34
d.
434


Solution:

As the exponent of 10 in the number is - 2, move the decimal point 2 places to the left.

So, the number in standard form is 4.34.
[Move decimal point 2 places to the left.]


Correct answer : (3)

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