Exponents - First multiply the numbers in front of the...

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Exponents Many students need to review exponents, or scientific notation. I am going to tackle the old fashioned way to calculate with scientific notation. Most calculators can do this, too, and I will add some notes on that at the end. The number 100 can be expressed as 10 2 , this means that 10 x 10 = 100. It is a short hand. The number 100,000 can be expressed as 10 5 . Notice that there are 5 zeros in the number. Next, we can add other numbers. 12,355 can be expressed as 1.2355 x 10 4 . Literally, if you take 1.2355 and multiply by 10,000 (or 10 4) you will get 12,355. Multiplying with exponents:
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Unformatted text preview: First, multiply the numbers in front of the exponent. Then ADD the exponents. Like this (4.56 x 10 2 ) x (2.09 x 10 5 ) Multiply the numbers: 4.56 x 2.09 = 9.53 Add exponents 10 2+5 = 10 7 Answer is 9.53 x 10 7 On calculators: Do not try in input into a calculator exactly as the scientific notation is written, for example, inputting exactly 1.2 x 10 6 . Most calculators have a specific function for scientific notation like an EE or exp function. You should not see a "10" when this is used correctly (again, for most calculators). The classic method I've shown above always works!...
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This note was uploaded on 05/27/2011 for the course SCI 302 taught by Professor Null during the Spring '11 term at GWU.

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