Decimal+Numbers

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In Science we always use **decimal numbers** therefore you should be familiar with them and with their operations, especially multiplying and dividing by 10, 100, 1000, etc. If you have difficulties doing these operations, access the decimal numbers page and look at the examples on it.=====

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The operations with **powers of ten** are not difficult and you should be confortable with them in order to work with Scientific Notation. If you need help on this topic access powers of ten and study. This site has a nice animation at the bottom of the page that it is worth seeing.=====


 * Scientific Notation** is a way of expressing very large or very small numbers in a shorter form. To improve your understanding on scientific notation read carefully the explanations and examples available at scientific notation 1 and scientific notation 2. The first site has a nice animation that shows the process of converting a decimal number to scientific notation. Use the second site to practise changing numbers to scientific notation.

** Well done Alan for contributing to this activity! ** This activity was checked and closed. You can study from it.

Note that we use "^" to represent "to the power" as we cannot write the exponent well here.
 * = # ||= Number in standard notation ||= Decimal number in Scientific Notation ||
 * = 1 ||= ====0,043 ==== ||= ====4,3 X 10^(-2) ==== ||
 * = 2 ||= ====2 500 ==== ||= 2,5 X 10^3 ||
 * = 3 ||= ====12 500 ==== ||= 1,25 X 10^4 ||
 * = 4 ||= ====750 ==== ||= 7,5 X 10^2 ||
 * = 5 ||= ====1 500 000 ==== ||= 1,5 X 10^6 ||
 * = 6 ||= 0,000 05 ||= 0,5 X 10^(-5) ||
 * = 7 ||= 333 ||= 3,33 X 10^(2) ||
 * = 8 ||= 1 230 000 000 ||= 1,23 X 10^9 ||
 * = 9 ||= 0,000 000 7 ||= 7 X 10^(-7) ||
 * = 10 ||= 2010 ||= 2,01 X 10^3 ||
 * = 11 ||= 903 ||= 9,03 X 10^(2) ||
 * = 12 ||= 45,5 ||= 4,55 X 10^1 ||
 * = 13 ||= 121,5 ||= 1,215 X ^2 ||
 * = 14 ||= 22,77 ||= 2,277 X 10^(1) ||
 * = 15 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">0,252 ||= 2,52 X 10^(-1) ||
 * = 16 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">0,055 ||= 5,5 X 10^(-2) ||
 * = 17 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">0,003 ||= 3 X 10^(-3) ||
 * = 18 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">0,000 3 ||= 3 X 10^(-4) ||
 * = 19 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">74 320 ||= 7,432 X 10^(4) ||
 * = 20 ||= <span style="font-family: 'Times New Roman'; font-size: 12pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: PT-BR; msoansilanguage: EN-US; msobidilanguage: AR-SA; msofareastfontfamily: 'Times New Roman'; msofareastlanguage: PT-BR; msotextraise: -5.0pt; position: relative; top: 5pt;">700 000 ||= 7,0 X 10^5 ||

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