Writing And Evaluating Scientific Notation Worksheet Page 3
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15In scientific notation, you use a negative exponent to write a number between 0 and 1.
Example 2
Write 0.000079 in scientific notation.
0.000079
Move the decimal point to get a decimal greater than 1 but less than 10.
5 places
7.9
Drop the zeros before the 7.
7.9 x
The decimal point moved 5 places to the right.
-‐ 5
10
Use -5 as the exponent of 10.
Write each number in scientific notation.
4. 0.00021
5. 0.00000005
6. 0.0000000000803
You can change expressions from scientific notation to standard form by simplifying the
product of the two factors.
Example 3
Write each number in standard form.
a. 8.9 x
b. 2.71 x 10
5
10
-‐ 6
8.90000
Add zeros while moving the decimal point.
000002.71
890,000
Rewrite in standard form.
0.00000271
Write each number in standard form.
7. 3.21 x
8. 5.9 x
9. 1.006 x
10
7
-‐ 8
10
10
10
Write each decimal in scientific notation.
10. 0.0001
11. 0.000007
12. 0.6
13. Write these numbers in standard form.
-1
a.
4.28 x 10
-4
b.
6.7 x 10
-3
c.
9.144 x 10
-2
d.
1.3879 x 10
-7
e.
4.29 x 10
-5
f.
8 x 10
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