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Scientific Notation Worksheets - Page 17

Scientific Notation Worksheets
  • Page 17
 161.  
The total college and university enrollment in the U.S. in the year 2000 was 14,979,000. Write this number in scientific notation.
a.
1.4979 x 105
b.
1.4979 x 106
c.
1.4979 x 107
d.
1.4979 x 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 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 college and University enrollment expressed in scientific notation is 1.4979 x 107.


Correct answer : (3)
 162.  
About 2,980,000 people visited the Yellow Stone National Park during the year 2002. Write this number in scientific notation.
a.
2.98 x 105
b.
2.89 x 106
c.
2.89 x 105
d.
2.98 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 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.]

The scientific notation of 2,980,000 is 2.98 x 106 .


Correct answer : (4)
 163.  
An estimated 830,000 people were killed in a flood in India. Identify the number in scientific notation.
a.
9.3 × 105
b.
8.3 × 104
c.
8.3 × 105
d.
8.3 × 106


Solution:

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

The first factor in the scientific notation of 830,000 is 8.3.
[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 point moved 5 places to the left. Use this number as the exponent of 10.]

The number 830,000 expressed in scientific notation is 8.3 × 105.


Correct answer : (3)
 164.  
The distance between New York and Tampa is about 1 × 103 miles. Write this number in standard notation.
a.
1000 miles
b.
10 miles
c.
100 miles
d.
10,000 miles


Solution:

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

The distance between New York and Tampa in standard notation is 1000 miles.


Correct answer : (1)
 165.  
The mean distance from Venus to the Sun is about 1.08 × 109 km. Express this number in standard form.
a.
180,000,000 km
b.
108,000,000 km
c.
18,000,000 km
d.
1,080,000,000 km


Solution:

1.08 × 109 = 1,080,000,000 km
[Multiplying by 1,000,000,000 moves the decimal point 9 places to the right.]

The mean distance from Venus to the Sun expressed in standard form is 1,080,000,000 km.


Correct answer : (4)
 166.  
The number of hotels in a particular state in the U.S. is approximately 2.5 × 105. Identify this number in standard form.
a.
205,000
b.
255,000
c.
250,000
d.
200,000


Solution:

2.5 × 105 = 250,000
[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The number of hotels in a particular state in the U.S can be expressed in standard form as 250,000.


Correct answer : (3)
 167.  
The traveling speed of the Earth in the Space is 1.08 × 105 kilometer/hour. Identify this number in standard form.
a.
1,080 kilometer/hour
b.
108,000 kilometer/hour
c.
10,800 kilometer/hour
d.
1,800 kilometer/hour


Solution:

1.08 × 105 = 108,000 km per hour
[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The traveling speed of the Earth in the space in standard form is 108,000 km per hour.


Correct answer : (2)
 168.  
The diameter of a proton is about 1 × 10 - 12 mm. Write this number in standard form.
a.
0.00000000001
b.
0.0000000001
c.
0.0000000000001
d.
0.000000000001


Solution:

1 x 10 -12 = 0.000000000001
[Multiplying by 0.000000000001 moves the decimal point 12 places to the left.]

The diameter of a proton expressed in standard form is 0.000000000001 mm.


Correct answer : (4)
 169.  
The lowest temperature in a lab setting is about 2.8 × 10 - 10 ok. Write this number in standard form.
a.
0.000000000028
b.
0.00000000028
c.
0.0000000028
d.
0.000000028


Solution:

2.8 x 10 -10 = 0.00000000028
[Multiplying by 0.0000000001 moves the decimal point 10 places to the left.]

The lowest temperature in a lab setting expressed in standard form is 0.00000000028 o k.


Correct answer : (2)
 170.  
The flow volume of the river Mississippi was about 5.93 × 105 ft3 per second at its mouth. Write this number in standard form.
a.
593000 ft3
b.
5093 ft3
c.
5930 ft3
d.
59300 ft3


Solution:

5.93 x 105 = 593000 ft3
[Multiplying by 100000 moves the decimal point 5 places to the right.]

The flow volume of the river Mississippi in standard notation is 593000 ft3 per second.


Correct answer : (1)

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