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Scientific Notation Worksheets - Page 9

Scientific Notation Worksheets
  • Page 9
 81.  
The Orbital Eccentricity of the Venus is about 6.8 × 10-3. Choose the standard form.
a.
0.068
b.
0.00068
c.
0.0068
d.
0.68


Solution:

6.8 × 10-3 = 0.0068
[Multiplying by 0.001 moves the decimal point 3 places to the left.]

The Orbital Eccentricity of the Venus expressed in standard form is 0.0068.


Correct answer : (3)
 82.  
The diameter of a proton is about 1 × 10-12 mm. Identify the standard form.
a.
0.000000000001
b.
12000000000
c.
100000000000
d.
10000000


Solution:

1 × 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 : (1)
 83.  
The lowest temperature in a lab setting is about 2.8 × 10-10 °k. Identify the number in standard form.
a.
0.00000000028
b.
0.000000000028
c.
0.0000000028
d.
0.000000028


Solution:

2.8 × 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 °k.


Correct answer : (1)
 84.  
Identify 7.8 × 10- 3 in standard form.
a.
7.8
b.
0.78
c.
0.078
d.
0.0078


Solution:

7.8 × 10-3 = 007.8 × 10-3
[Since exponent is negative 7.8 × 10-3 is a small number. Shift the decimal point 3 places to the left.]

= 0.0078

The standard form of 7.8 × 10-3 is 0.0078.


Correct answer : (4)
 85.  
What is the value of n, if 6980 = 6.98 × 10n?
a.
3
b.
4
c.
2
d.
5


Solution:

Write 6980 in scientific notation.

6980 = 6.98 × 103
[Shift the decimal point 3 places to left to get a number greater than or equal to 1 and less than 10 and use 3 as an exponent of 10.]

6980 = 6.98 × 10n

6.98 × 103 = 6.98 × 10n
[Substitute 6980 = 6.98 × 103.]

Since the two factors are equal, the exponents of 10 are equal.

The value of n is 3.


Correct answer : (1)
 86.  
Which of the numbers is greater, 6 × 102 or 7 × 103?
a.
6 x 102
b.
7 x 103
c.
Both are same
d.
None of the above


Solution:

Since 3 > 2, 103 > 102
[Order the exponents of two numbers.]

7 x 103 > 6 x 102
[Compare the two numbers and order from greatest to least.]

The number 7 x 103 is greater.


Correct answer : (2)
 87.  
An alloy of bronze used for making bush bearing contains 8% graphite. Express your answer using scientific notation.
a.
8 x 10-2
b.
8 x 10-3
c.
8 x 10-4
d.
8 x 10-1


Solution:

8% = 8100= 0.08
[Write in decimal form.]

0.08 = 8 x 0.01
[Shift the decimal point 2 places to right to get a number greater than or equal to 1 and less than 10.]

= 8 x 10-2
[0.01 = 1 / 100= 10-2.]

The scientific notation of 8% is 8 x 10-2.


Correct answer : (1)
 88.  
Write the scientific notation of the fraction 4 4000.
a.
1 x 10-1
b.
1 x 10-4
c.
1 x 10-3
d.
1 x 10-2


Solution:

44000 = 11000
[Simplify.]

= 0.001
[Write in decimal form.]

= 1 x 0.001
[Shift the decimal point 3 places to right to get a number greater than or equal to 1 and less than 10.]

= 1 x 10-3
[0.001 = 1 / 1000= 10-3.]

The scientific notation of the fraction is 1 x 10-3.


Correct answer : (3)
 89.  
Express 670,000,000,000 in scientific notation.
a.
67 × 1010
b.
6.7 × 1010
c.
0.67 × 1011
d.
6.7 × 1011


Answer: (d)


Correct answer : (4)
 90.  
Which of the following correctly expresses 0.000002 in scientific notation?
a.
2 × 10-6
b.
2 × 10-5
c.
2 × 10-4
d.
2 × 10-7


Answer: (a)


Correct answer : (1)

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