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Scientific Notation Worksheets - Page 16

Scientific Notation Worksheets
  • Page 16
 151.  
The Orbital Period of Pluto is about 91,000 days. Identify the number in scientific notation.
a.
91 × 104
b.
0.91 × 104
c.
9.1 × 104
d.
9.1 × 103


Answer: (c)


Correct answer : (3)
 152.  
The length of the Snake river is about 1.04 × 103 miles. Express the length in standard form.
a.
140 miles
b.
1,040 miles
c.
1,400 miles
d.
104 miles


Answer: (b)


Correct answer : (2)
 153.  
The population of Delaware was 783,600 in the year 2000. Write this number in scientific notation.
a.
7.836 x 104
b.
7.836 x 106
c.
7.836 x 105
d.
7.836 x 103


Solution:

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

The first factor in the scientific notation of 783,600 is 7.836
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 105
[The decimal is moved 5 places to the left. Use this number as the exponent of 10.]

The population of Delaware in scientific notation is 7.836 x 10 5.


Correct answer : (3)
 154.  
The height of the Empire State building in New York is 1,250 ft. Write this number in scientific notation.

a.
1.25 x 104
b.
1.25 x 103
c.
1.25 x 102
d.
None of the above


Solution:

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

The first factor in the scientific notation of 1,250 is 1.25
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 103
[The decimal is moved to 3 places to the left. Use this number as the exponent of 10.]

So, the height of the Empire state building in scientific notation is 1.25 x 103.


Correct answer : (2)
 155.  
The population growth rate in the world is about 10,800 people per hour. Write this number in scientific notation.
a.
10.8 x 104
b.
1.08 x 104
c.
1.06 x 104
d.
10.6 x 104


Solution:

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

The first factor in the scientific notation of 10,800 is 1.08.
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

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

So, the population growth rate in the world expressed in scientific notation is 1.08 x 104


Correct answer : (2)
 156.  
The length of the river Missouri is 2,540 miles. Write this number in scientific notation.
a.
2.54 x 102
b.
25.4 x 103
c.
25.4 x 104
d.
2.54 x 103


Solution:

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

The first factor in the scientific notation of the number 2,540 is 2.54
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 103
[The decimal is moved 3 places to the left. So the power of 10 in the second factor is 3.]

So, the length of the river Missouri expressed in scientific notation is 2.54 x 103 miles.


Correct answer : (4)
 157.  
The radius of the sun is about 695000 km. Write this number in scientific notation.
a.
6.95 x 105
b.
6.95 x 103
c.
6.95 x 104
d.
6.95 x 106


Solution:

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

The first factor in the scientific notation of 695,000 is 6.95
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 105
[The decimal is moved 5 places to the left. Use this number as the exponent of 10.]

So, the radius of the sun in scientific notation is 6.95 x 105 km.


Correct answer : (1)
 158.  
The average daily newspaper circulation in the U.S. in the year 2000 was 55,800,000. Write this number in scientific notation.
a.
55.8 x 107
b.
5.58 x 107
c.
5 x 108
d.
0.558 x 107


Solution:

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

The first factor in the scientific notation of 55,800,000 is 5.58
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 107
[The decimal is moved 7 places to the left. Use this number as the exponent of 10.]

So, the average daily newspaper circulation expressed in scientific notation is 5.58 x 107.


Correct answer : (2)
 159.  
The mean distance from the Pluto to the Sun is about 5,913,520,000 km. Write this number in scientific notation.
a.
5.91352 x 107 km
b.
5.91352 x 109 km
c.
5.91352 x 108 km
d.
5.91352 x 1010 km


Solution:

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

The first factor in the scientific notation of 5,913,520,000 is 5.91352
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 109.
[The decimal is moved 9 places to the left. Use this number as the exponent of 10.]

So, the mean distance from the Pluto to the Sun in scientific notation is 5.91352 x 109 km.


Correct answer : (2)
 160.  
The total number of automobiles registered in the year 1999 was 132,432,000. Write this number in scientific notation.
a.
1.32432 x 107
b.
1.32432 x 108
c.
1.32432 x 106
d.
1.32432 x 109


Solution:

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

The first factor in the scientific notation of 132,432,000 is 1.32432
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 108
[The decimal point moved 8 places to the left. Use this number as the exponent of 10.]

The total number of automobiles registered expressed in scientific notation is 1.32432 x 108.


Correct answer : (2)

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