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Scientific Notation Worksheets

Scientific Notation Worksheets
  • Page 1
 1.  
The number of seconds in a week is 604,800. If this number expressed in scientific notation, the numerical value of the exponent will be:
a.
3
b.
6
c.
2
d.
5


Solution:

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

604,800 = 6.048 × 105

So, the numerical value of the exponent in scientific notation is 5.


Correct answer : (4)
 2.  
Express 3 × 10- 3 in standard notation.
a.
0.03
b.
0.003
c.
0.00003
d.
0.0003


Answer: (b)


Correct answer : (2)
 3.  
Express 1.121 × 109 in standard notation.
a.
112,100,000
b.
1,121,000,000
c.
1,121,000
d.
1,121,000,000,000


Answer: (b)


Correct answer : (2)
 4.  
The Gravitational constant G is 0.0000000000667 N m2 kg- 2. Express this in scientific form.
a.
6.67 × 10-10 N m2 kg- 2
b.
667 × 10- 13 N m2 kg- 2
c.
6.67 × 10- 11 N m2 kg- 2
d.
0.0000000000667 N m2 kg- 2


Answer: (c)


Correct answer : (3)
 5.  
The population of Delaware was 184,000 in the year 1900. Choose the scientific notation of this number.
a.
1.84 × 104
b.
1.84 × 103
c.
1.84 × 105
d.
1.84 × 106


Answer: (c)


Correct answer : (3)
 6.  
The diameter of an atom is 0.0000000125 cm. Which one of the following shows this number in scientific notation?
a.
12.5 × 10 - 8 cm
b.
1.25 × 10 - 10 cm
c.
1.25 × 10 - 8 cm
d.
125 × 10 - 8 cm


Answer: (c)


Correct answer : (3)
 7.  
The area of Europe is 9,938,000 sq km. Which one expresses the area in scientific notation rounded to the nearest hundredth?
a.
9.94 × 106 sq km
b.
9.94 × 107 sq km
c.
99.40 × 106 sq km
d.
994.0 × 104 sq km


Answer: (a)


Correct answer : (1)
 8.  
The diameter of Earth is 12,753,000 m. Which one expresses the diameter in scientific notation, rounded to the nearest hundredth?
a.
12.80 × 107 m
b.
128.0 × 105 m
c.
1.28 × 108 m
d.
1.28 × 107 m


Answer: (d)


Correct answer : (4)
 9.  
Identify the number 0.086731 in scientific notation rounded to one decimal place.
a.
8.8 × 10-2
b.
8.7 × 102
c.
8.7 × 10-2
d.
8.6 × 10-3


Answer: (c)


Correct answer : (3)
 10.  
Which of these is the number 232,149 in scientific notation rounded to the nearest hundredth?
a.
2.32 × 105
b.
2.32 × 10-5
c.
2.31 × 104
d.
2.33 × 10-5


Answer: (a)


Correct answer : (1)

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