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Worksheets

Scientific Notation

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

What is the standard notation of

 1.06×104?1.06\times10^4?  

a)

0.000106

b)

1 060

c)

10 600

d)

1 060 000

2.

The earth’s approximate distance from the Sun is about 

 1.4956×108 km1.4956\times10^8\ km .  Which of the following notation represents the distance?

a)

0.000000014956

b)

0.00014956

c)

 149,560,000

d)

1,495,600,000,000

3.

Which of the following represents
 6.7\times10^{-2}  in standard notation?

a)

0.067

b)

0.0067

c)

670

d)

 6700

4.

According to the history, the first pandemic was the “Spanish flu”, also known as the 1918 flu pandemic who killed about 10 million people. What is 10 million in scientific notation?

a)

1×1071\times10^{-7}

b)

1×1061\times10^{-6}

c)

1×1061\times10^6

d)

1×1071\times10^7

5.

The planet Mercury has an estimated distance of 

 1.35\times10^8\ miles  from the Sun. How far is Mercury from the Sun in standard notation? 

a)

0.0000000135

b)

0.00000135

c)

13,500,000

d)

135,000,000

6.

Which of the following would has a negative exponent on the base 10 when converted into scientific notation?

a)

-8000

b)

0.00089

c)

89

d)

800 009

7.

In scientific notations, what does a negative exponent mean?

a)

The standard number is greater than one.

b)

The standard number is less than one.

c)

The negative sign doesn't have a meaning.

d)

The number cannot be written in standard form.

8.

In scientific notations, what does a positive exponent mean?

a)

The standard number is greater than one.

b)

The standard number is less than one.

c)

The negative sign doesn't have a meaning.

d)

The number cannot be written in standard form.

9.

Convert this number into scientific notation: nine hundred fifty thousand, one hundred

a)

9.501×1059.501\times10^5

b)

9.501×1059.501\times10^{-5}

c)

9.5×1029.5\times10^2

d)

9.5×1059.5\times10^5

10.

Which value is the greatest?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

11.

Which number is the least in value?

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

12.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
13.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
14.

Which of the following is correctly written in scientific notation?

a)

20.35 x 104

b)

.2035 x 104

c)

2035 4

d)

2.035 x104

15.

Express in scientific notation:

0.000457

a)

457 x 106

b)

457 x 10-6

c)

4.57 x104

d)

4.57 x 10-4

16.

Express the following in scientific notation:

10,030,400,000

a)

1.003×10101.003\times10^{10}

b)

1.00304×10101.00304\times10^{10}

c)

1.00304×10101.00304\times10^{-10}

d)

1.003×10101.003\times10^{-10}

17.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
18.

The length of the Amazon River in South America is 6, 400 kilometers. What is the length written in scientific notation?

a)

6.4×1026.4\times10^{-2}

b)

6.4×1036.4\times10^{-3}

c)

6.4×1036.4\times10^3

d)

64×10264\times10^2

19.

A virus is viewed under a microscope. Its diameter is 0.0000002 meter. How would this length be expressed in scientific notation?

a)

2×107 m2\times10^{-7}\ m

b)

2×106 m2\times10^{-6}\ m

c)

2×1062\times10^6

d)

2×1072\times10^7

20.

Sabrina was given the following number to convert to scientific notation: 12,050,000. Her answer was 1.25 x 107, but it was marked wrong on her paper. Why?

a)

She left out a zero in between the two and the five.

b)

She was not supposed to have a number in front of the decimal point.

c)

She used a positive exponent when she should have used a negative exponent.

d)

She should have used a four as her exponent because there are four zeros on the end of the number.