To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Scientific Notation Worksheets - Page 15

Scientific Notation Worksheets
  • Page 15
 141.  
The mean distance of the Earth from the Moon is about 384,400 km. Write the distance in scientific notation.
a.
3.844 x 105
b.
3.844 x 107
c.
3.844 x 106
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 384,400 is 3.844
[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 is moved 5 places to the left. Use this number as the exponent of 10.]

The mean distance of the Earth from the Moon in scientific notation is about 3.844 x 105 km.


Correct answer : (1)
 142.  
Water occupies an area of 6800 m2 in the state of Texas. Write the number in scientific notation.
a.
6.8 x 103 m2
b.
6.8 x 102 m2
c.
6.8 x 104 m2
d.
None of the above


Solution:

A number in scientific notation is 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 6800 is 6.8
[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 point is moved 3 places to the left. Use this number as the exponent of 10.]

Area occupied by water in the state of Texas in scientific notation is 6.8 x 103 m2.


Correct answer : (1)
 143.  
The total number of farms in the year 2000 in the U.S. was about 2,522,000. Write the number in scientific notation.
a.
2.522 × 107
b.
2.522 × 106
c.
2.522 × 105
d.
None of the above


Solution:

A number in scientific notation is 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 2,522,000 is 2.522.
[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 is moved 6 places to the left. Use this number as the exponent of 10.]

The total number of farms in scientific notation is 2.522 × 106.


Correct answer : (2)
 144.  
One hour is equal to 3600 seconds. Write the number in scientific notation.
a.
3.6 x 102
b.
3.6 x 103
c.
3.6 x 101
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 3600 is 3.6
[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 point is moved 3 places to the left. Use this number as the exponent of 10.]

The representation of one hour in scientific notation is 3.6 x 103 seconds.


Correct answer : (2)
 145.  
One meter is equal to 100 centimeters. Write the number in scientific notation.
a.
1 x 102 cm
b.
1 x 101 cm
c.
1 x 103 cm
d.
None of the above


Solution:

A number in scientific notation is 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 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 : (1)
 146.  
One mean Solar day is equal to 86400 mean Solar seconds. Write the number in scientific notation.
a.
8.64 x 105
b.
8.64 x 103
c.
8.64 x 104
d.
None of the above


Solution:

A number in scientific notation is 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 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)
 147.  
Write 4.5 × 105 in standard form.
a.
450000
b.
45000
c.
4500000
d.
4.5


Solution:

4.5 x 105 = 450000
[Multiplying by 100000 moves the decimal point 5 places to the right.]

The Standard form of 4.5 x 105 is 450000.


Correct answer : (1)
 148.  
Write 2.225 × 104 in standard form.
a.
22250
b.
222500
c.
2225
d.
None of the above


Solution:

2.225 x 104 = 22250
[Multiplying by 10000 moves the decimal point 4 places to the right.]

The standard form of 2.225 x 104 is 22250.


Correct answer : (1)
 149.  
The total area occupied by the state of South Carolina is about 3.2 × 104 square miles. Write the number in standard form.
a.
3200
b.
3,20,000
c.
32,000
d.
None of the above


Solution:

3.2 x 104 = 32,000
[Multiplying by 10,000 moves the decimal point 4 places to the right.]

The total area occupied by the state South Carolina in standard form is 32,000 m2.


Correct answer : (3)
 150.  
The total men in the U.S Civilian Labor Force in the year 2001 was about 75,743,000. Which of the following represents the number in scientific notation?
a.
7.5743 × 103
b.
7.5743 × 106
c.
7.5743 × 107
d.
75743 × 107


Answer: (c)


Correct answer : (3)

*AP and SAT are registered trademarks of the College Board.