Scientific notation is a way of writing numbers as a coefficient between 1 and 10 multiplied by a power of 10. The document provides examples of converting numbers between standard form and scientific notation, such as 9,142 = 9.142 x 103, meaning nine thousand one hundred forty-two equals nine point one four two multiplied by ten cubed. Other examples show how to write very small or large numbers, fractions, and decimals in scientific notation.

1. scientific notation
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2. scientific notation
A number is written in scientific notation if it has the
form c x 10n where 1< c < 10 and n is an integer.
Standard Product Scientific
325,000 3.25 x 100,000 3.25 x 105
0.0005 5 x 0.0001 5 x 10-4

3. scientific notation
(1) 9,142 =9.142 x 103
Nine thousand one hundred and
forty-two is equal to nine point one four
two times ten cubed .

4. scientific notation
(2) 738 =7.38 x 102
Seven hundred and thirty-eight is equal
to seven point three eight times ten
squared .

5. scientific notation
(3) 56 =5.6 x 10
Fifty-six is equal to five point six times ten.

6. scientific notation
(4) 9 =9 x 100
Nine is equal to nine times ten to the
power zero .

7. scientific notation
(5) 0.2 =2 x 10-1
Zero point two is equal to two times ten
to the power negative one .

8. scientific notation
(6) 0.93 =9.3 x 10-1
Zero point nine three is equal to nine
point three times ten to the power
negative one .

9. scientific notation
(7) 0.0005219 =5.219 x 10-4
Zero point zero zero zero five two one
nine is equal to five point two one nine
times ten to the power negative four .

10. scientific notation
(8) 25.017 =2.5017 x 10-1
Twenty-five point zero one seven is equal
to two point five zero one seven times ten
to the power negative one .