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Scientific Notation Worksheets - Page 6

Scientific Notation Worksheets
  • Page 6
 51.  
The mean distance between Earth and the Moon is about 384,400 km. Identify the distance in scientific notation.
a.
3.844 × 107
b.
38.44 × 104
c.
3.844 × 105
d.
3.844 × 106


Answer: (c)


Correct answer : (3)
 52.  
Identify 280000000 in scientific notation.
a.
2.8 × 107
b.
2.8 × 106
c.
2.8 × 109
d.
2.8 × 108


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 280000000 is 2.8.
[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.]

So, the scientific notation of 280000000 is 2.8 × 108.


Correct answer : (4)
 53.  
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 × 109 km
b.
5.91352 × 108 km
c.
5.91352 × 107 km
d.
5.91352 × 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 × 109 km.


Correct answer : (1)
 54.  
The total number of automobiles registered in the year 1999 was 132,432,000. Express the number in scientific notation.
a.
1.32432 × 109
b.
1.32432 × 107
c.
1.32432 × 106
d.
1.32432 × 108


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 × 108.


Correct answer : (4)
 55.  
The total enrollment in the colleges and universities in the U.S. in the year 2000 was 14,979,000. Express the number in scientific notation.
a.
1.4979 × 108
b.
1.4979 × 105
c.
1.4979 × 106
d.
1.4979 × 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 14,979,000 is 1.4979.
[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 point moved 7 places to the left. Use this number as the exponent of 10.]

The total enrollment in the colleges and universities in U.S. expressed in scientific notation is 1.4979 × 107.


Correct answer : (4)
 56.  
About 2,980,000 people visited the Yellow Stone National Park in the year 2002. Express the number in scientific notation.
a.
2.98 × 106
b.
2.89 × 105
c.
2.98 × 105
d.
2.89 × 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 2,980,000 is 2.98.
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 106.
[The decimal point moved 6 places to the left. Use this number as the exponent of 10.]

Therefore, the number 2,980,000 expresssed in scientific notation is 2.98 × 106.


Correct answer : (1)
 57.  
The population of Delaware was 783,600 in the year 2000. Express the number in scientific notation.
a.
7.836 × 104
b.
7.836 × 106
c.
7.836 × 105
d.
7.836 × 103


Solution:

A number is written in scientific notation as the product of two factors. The first factor should be greater than 1 and less than 10 and the second factor should be a power 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 × 105.


Correct answer : (3)
 58.  
The height of the Empire State Building in New York is 1,250 ft. Express the number in scientific notation.
a.
1.25 × 103 ft
b.
1.25 × 104 ft
c.
1.25 × 102 ft
d.
1.25 × 102 ft


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 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 × 103 ft.


Correct answer : (1)
 59.  
The radius of the Sun is about 695,000 km. Express the number in scientific notation.
a.
6.95 × 106
b.
6.95 × 103
c.
6.95 × 104
d.
6.95 × 105


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 Sun in scientific notation is 6.95 × 105 km.


Correct answer : (4)
 60.  
The average daily newspaper circulation in the U.S. in the year 2000 was 55,800,000. Express the number in scientific notation.
a.
5 × 108
b.
55.8 × 107
c.
0.558 × 107
d.
5.58 × 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 × 107.


Correct answer : (4)

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