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Scientific Notation Worksheets - Page 10

Scientific Notation Worksheets
  • Page 10
 91.  
An hour is equal to 3600 seconds. Identify this number in scientific notation.
a.
3.6 x 103
b.
3.6 x 102
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 : (1)
 92.  
The diameter of the Saturn is about 119,300 km. Choose the scientific notation for this number.
a.
1.193 × 105
b.
0.1193 × 103
c.
1.193 × 106
d.
11.93 × 106


Solution:

119,300
[Move the decimal point 5 places to the left, to get a factor greater than or equal to 1 and less than 10.]

= 1.193 × 105
[The exponent of 10 is 5.]

The diameter of the Saturn is about 1.193 × 105 km.


Correct answer : (1)
 93.  
The radius of Uranus is about 25,560 km. Express 25,560 in scientific notation.
a.
2.556 × 10-4
b.
2.556 × 104
c.
0.2556 × 106
d.
2.556 × 103


Answer: (b)


Correct answer : (2)
 94.  
Express 3.6 × 108 in standard form.
a.
360,000,000
b.
36,000,000
c.
0.00000036
d.
3,600,000,000


Solution:

3.6 × 108 = 360000000
[A positive exponent indicates a large number. Move the decimal point 8 places to the right.]

= 360,000,000

The standard form of 3.6 × 108 is 360,000,000.


Correct answer : (1)
 95.  
The speed of light is about 1.86 ×105 mi/s. Identify the standard form of this number.
a.
18,600,000
b.
186,000
c.
1,860,000
d.
0.0000186


Answer: (b)


Correct answer : (2)
 96.  
The mass of the Earth is about 5.976 x 1024 kg. Write this number in standard form.
a.
59,760,000,000,000,000,000,000,000
b.
5,976,000,000,000
c.
5,976,000,000,000,000,000,000,000
d.
597,600,000,000,000,000,000,000


Solution:

5.976 x 1024 = 5976000000000000000000000
[A positive exponent indicates a large number. Move the decimal point 24 places to the right.]

= 5,976,000,000,000,000,000,000,000

The mass of Earth in the standard form is 5,976,000,000,000,000,000,000,000 kg.


Correct answer : (3)
 97.  
The 1st electron-affinity of chlorine is - 3.64 × 102 kj/mole. Write this number in standard form.
a.
- 364000 kj/mole
b.
- 364 kj/mole
c.
- 36400 kj/mole
d.
- 3640 kj/mole


Solution:

- 3.64 x 102 = - 364
[Multiplying by 100 moves the decimal point 2 places to the right.]

The 1st electron-affinity of chlorine in standard form is -364 kj/mole.


Correct answer : (2)
 98.  
Express - 4.4 × 106 in standard form.
a.
- 4,400,000
b.
4,400,000
c.
- 44,000,000
d.
- 440,000


Solution:

- 4.4 x 106 = - 4400000
[Multiplying by 1,000,000 moves the decimal point 6 places to the right.]

The standard form of - 4.4 x 106 is - 4,400,000.


Correct answer : (1)
 99.  
Express 0.004 in scientific notation.
a.
4 × 10-5
b.
4 × 10-2
c.
4 × 10-3
d.
4 × 10-4


Solution:

0.004
[Move the decimal point 3 places right to get a factor greater than or equal to 1 and less than 10.]

= 4 × 10-3
[The exponent of 10 is - 3.]

The scientific notation of 0.004 is 4 × 10-3.


Correct answer : (3)
 100.  
The diameter of a Hydrogen atom is 0.00000001 mm. Express this number in scientific notation.
a.
1 × 10-8 mm
b.
0.1 × 10-7 mm
c.
1 × 10-9 mm
d.
1 × 108 mm


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.

0.00000001
[Move the decimal point 8 places to the right to get a factor greater than or equal to 1 and less than 10.]

= 1 × 0.00000001

= 1 × 10-8
[0.00000001 = 1 / 100000000 = 10-8.]

The diameter of a Hydrogen atom is about 1 × 10-8 mm.


Correct answer : (1)

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