5.4 Scientific Notation

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# 5.4 Scientific Notation - PowerPoint PPT Presentation

5.4 Scientific Notation. Goals: To write a number that is in standard notation in scientific notation. Scientific Notation a shortcut for very large/small numbers. The distance from earth to the north star is 10,000,000,000,000,000,000 meters. Fewer errors if we write as 1.0 x 10 19 ?.

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Presentation Transcript
5.4 Scientific Notation
• Goals: To write a number that is in standard notation in scientific notation
Scientific Notationa shortcut for very large/small numbers
• The distance from earth to the north star is 10,000,000,000,000,000,000 meters.
• Fewer errors if we write as 1.0 x 1019 ?
• Move decimal until the # is 1 ≤X <10
• Then mult. that # by 10 to a power
• The power will be the # of times you moved the decimal (if u moved to the rt it’s a neg. exp. If u moved to the lft it is a positive exp.)
In short….
• Decimals ( between 0 and 1) have negative exponents on the base of 10
• Numbers that are larger than 1 have positive exponents on the base of 10
5.4 Scientific Notation
• Goals: To write numbers that are in scientific notation in standard notation

Change from scientific notation to standard form:move the decimal the same amt of times as the exp. (if the exp + move to the right and if the exp is – move to the left)

1.25 x 103

1250

Homework

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