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Scientific Notation Worksheets - Page 7

Scientific Notation Worksheets
  • Page 7
 61.  
It is estimated that 830,000 people were killed in an earthquake in central China. Write this number in scientific notation.
a.
9.3 × 105
b.
8.3 × 105
c.
8.3 × 104
d.
8.3 × 106


Solution:

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 : (2)
 62.  
The distance between New York and Tampa is about 1 × 103 miles. Write this number in standard notation.
a.
100 miles
b.
10 miles
c.
10,000 miles
d.
1000 miles


Solution:

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

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


Correct answer : (4)
 63.  
The mean distance from the Venus to the Sun is about 1.08 × 109 km. Express the number in standard form.
a.
1,080,000,000 km
b.
180,000,000 km
c.
108,000,000 km
d.
18,000,000 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 : (1)
 64.  
The U.S. has approximately 2.5 × 105 number of rivers. Identify the number in standard form.
a.
205,000
b.
250,000
c.
255,000
d.
200,000


Solution:

2.5 × 105 = 250000
[Multiplying by 100000 moves the decimal point 5 places to the right.]

The number of rivers in U.S can be expressed in standard form as 250000.


Correct answer : (2)
 65.  
The flow volume of the Mississippi river was about 5.93 × 105 ft3 per second at its mouth. Identify it in the standard form.
a.
5,930 ft3
b.
593,000 ft3
c.
59,300 ft3
d.
5,093 ft3


Solution:

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

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


Correct answer : (2)
 66.  
The length of the main span of the Niagara Falls Bridge is about 8.21 × 102 ft. Choose the number in standard form.
a.
82.1 ft
b.
8.2100 ft
c.
821 ft
d.
8,210 ft


Solution:

8.21 × 102 = 821 ft
[Multiplying by 100 moves the decimal point 2 places to the right.]

The length of the main span of the Niagara Falls Bridge in standard form is 821 ft.


Correct answer : (3)
 67.  
The total extent of the farm land in the U.S. is about 9.87 × 108 acres. Identify the number in standard form.
a.
978,000,000 acres
b.
989,000,000 acres
c.
9,870,000 acres
d.
987,000,000 acres


Solution:

9.87 × 108 = 987,000,000 acres
[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

The total extent of farm land expressed in standard form is 987,000,000 acres.


Correct answer : (4)
 68.  
The total number of air passengers in the year 2001 is about 6.22 × 108. Identify the number in standard form.
a.
620,000,000
b.
622,000,000
c.
62,200,000
d.
6,220,000


Solution:

6.22 × 108 = 622,000,000
[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

The total number of air passengers expressed in standard form is 622,000,000.


Correct answer : (2)
 69.  
The average number of earthquakes detected in the world each year is about 5 × 105. Identify this number in standard form.
a.
5000
b.
500,000
c.
50,000
d.
50,500


Solution:

5 × 105 = 500,000
[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The average number of earthquakes detected in the world each year expressed in standard form is 5,00,000.


Correct answer : (2)
 70.  
Which of the following numbers is in the correct form of scientific notation?
a.
32.5 x 102
b.
3.25 x 102
c.
0.325 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 greater than or equal to one, but less than 10 and the second factor is an exponent of 10.

In choice A, 32.5 x 102, the first factor is 32.5, which is not a number between 1 and 10. This number is not in the correct form of scientific notation.

In choice B, 3.25 x 102, the first factor is 3.25, it is in between 1 and 10 and the second factor is the power of 10. So, this number is in correct form of scientific notation.

In choice C, 0.325 x 102, the first factor 0.325 is not in between 1 and 10. This number is not in correct form of scientific notation.


Correct answer : (2)

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