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SCIENTIFIC NOTATION

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DID YOU KNOW…….. The distance from Earth to the North Star is about 10,000,000,000,000,000,000 meters. The thickness of a soap bubble is meter. The United States has 12,916,000 acres reserved for state parks.

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MATH FOLKS CAME UP WITH A WAY TO DEAL WITH REALLY BIG NUMBERS AND REALLY LITTLE NUMBERS This method is called Scientific Notation. Using scientific notation we can write a number as the product of a power of 10 and a number greater than or equal to 1, but less than 10.

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THE DISTANCE FROM EARTH TO THE NORTH STAR IS ABOUT 10,000,000,000,000,000,000 METERS. 10,000,000,000,000,000,000 written out is called “standard form”. Using scientific notation, we can write the same number like this:

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THE THICKNESS OF A SOAP BUBBLE IS ABOUT METER written out is called “standard form”. Using scientific notation, we can write the same number like this:

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RULES FOR SCIENTIFIC NOTATION To be in proper scientific notation the number must be written with * a number between 1 and 10 * and multiplied by a power of ten 23 X 10 5 is not in proper scientific notation. Why?

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HERE’S HOW IT WORKS: 137,000,000 can be rewritten as 1.37 X 10 8

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NOW YOU TRY Using scientific notation, rewrite the following numbers. 347, X ,000, X , X 10 4

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NOW WORK BACKWARD. CONVERT THESE TO STANDARD FORM: 1.23 X , X ,806,000

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TRY THESE 4,000 4 X X , X ,123, ,000, X 10 8

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WHY DOES A NEGATIVE EXPONENT GIVE US A SMALL NUMBER? = 10 x 10 x 10 x 10 = = 10 x 10 x 10 = = 10 x 10 = = = 10 0 Do you see a pattern?

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NOTICE THE PATTERN = = = = = = = 10 -4

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HERE’S HOW IT WORKS WHEN YOU HAVE A SMALL NUMBER:.0307 can be rewritten as

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YOUR TURN Using Scientific Notation, rewrite the following numbers X X X 10 -5

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MORE EXAMPLES 1) X ) X ) X ) X ) X 10 -4

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HOMEWORK Page

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