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Worksheets

Convert Between Standard and Scientific Notation

Total questions: 15

Worksheet time: 3hrs 17mins

Name
Class
Date
1.

Scientific notation is used for....

a)

shortening a very small or very large number

b)

scientists only

c)

scientific investigations

d)

not sure

2.

What is this number in scientific notation?

7,100, 000, 000

(hint: study the image above)

a)

7.1 x 109

b)

7.1 x 10-10

c)

7.1 x 1010

d)

7.1 x 10-9

3.

Which is true when converting from scientific to standard notation? (select all that apply)

a)

move the decimal to the right if the exponent is negative

b)

move the decimal to the left if the exponent is positive

c)

move the decimal to the right if the exponent is positive

d)

move the decimal to the left if the exponent is negative

4.

How many spaces and which way would you move the decimal to convert this number to scientific notation?

0.000000034

a)

7 to the right, because there are 7 zeroes

b)

8 to the right, because there must be one number to the left of the decimal point that is more than 0 but less than 10

c)

7 to the left, because you have to get rid of the zeroes

d)

8 to the left, because there are 8 numbers to make it 3.4

5.

The picture above is taken from a powerful microscope showing colonies of bacteria. The size of bacteria can be as small as 2.0 x 10 ^ -7 meters. What is this number in standard notation?

a)

2,000,000

b)

0.000002

c)

20,000,000

d)

0.0000002

6.

UNDERSTANDING

If the exponent is a positive number...

a)

you will get a large number

b)

you will get a small number

7.

UNDERSTANDING:

The first number in scientific notation must not be...

a)

between and including 0 and 10

b)

between and including 1 and 9.9999

c)

between and including 0 and 9.999

d)

between and including 1 and 10

8.

Which of the following is correct scientific notation?

a)

41.5 x 10-5

b)

0.2035 x 104

c)

20.4 x 108

d)

4.5 x109

9.

How would you write 5.64 x 108 in standard notation?

a)

564,000,000

b)

546, 000, 000

c)

56, 400, 000

d)

5,640, 000

10.

Write 208,000 in scientific notation.

a)

2.08 x 105

b)

0.0208 x 10-5

c)

20.8 x 105

d)

0.208 x 106

11.

Write 7.8 x 103 in standard form.

a)

7,800

b)

78,000

c)

78

d)

0.0078

12.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

13.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
14.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
15.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000