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Published byPierce Holland Modified over 8 years ago

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Scientific Notation

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Positive Exponents 10 1 = 10 10 2 = 10X10= 100 10 3 = 10X10X10 = 1000 10 4 = 10X10X10X10 = 10,000

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Negative Exponents 10 -1 = 1/10 = 0.1 10 -2 = 1/100 = 0.01 10 -3 = 1/1000 = 0.001 10 -4 = 1/10000 = 0.0001

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Scientific Notation We use the idea of exponents to make it easier to work with large and small numbers. 10,000 = 1 X 10 4 250,000 = 2.5 X 10 5 Count places to the left until there is one number to the left of the decimal point. 230,000 = ? 35,000 = ?

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Scientific Notation Continued 0.00006 = 6 X 10 -5 0.00045 = 4.5 X 10 -4 Count places to the right until there is one number to the left of the decimal point 0.003 = ? 0.0000025 = ?

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Multiplying with Scientific Notation Add the Exponents 10 2 X 10 3 = 10 5 100 X 1000 = 100,000

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Multiplying with Scientific Notation (2.3 X 10 2 )(3.3 X 10 3 ) 230 X 3300 Multiply the Coefficients 2.3 X 3.3 = 7.59 Add the Exponents 10 2 X 10 3 = 10 5 7.59 X 10 5 759,000

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Multiplying with Scientific Notation (4.6 X 10 4 ) X (5.5 X 10 3 ) = ? (3.1 X 10 3 ) X (4.2 X 10 5 ) = ?

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Dividing with Scientific Notation Subtract the Exponents 10 4 /10 3 = 10 1 10000X 1000 = 10

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Dividing with Scientific Notation (3.3 X 10 4 )/ (2.3 X 10 2 ) 33000 / 230 = 143.4783 Divide the Coefficients 3.3/ 2.3 = 1.434783 Subtract the Exponents 10 4 / 10 2 = 10 2 1.4347823 X 10 2 143.4783

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Dividing with Scientific Notation (4.6 X 10 4 ) / (5.5 X 10 3 ) = ? (3.1 X 10 3 ) / (4.2 X 10 5 ) = ?

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