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Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

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The Distance From the Sun to the Earth 93,000,000

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Step 1 Move decimal left Leave only one number in front of decimal

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Step 2 Drop the zeros after the decimal point This number is called the COEFFICIENT

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Step 3 Multiply your COEFFICIENT by 10…just write the X 10. 9.3 x 10

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Step 4 Count how many places originally you moved decimal Make that your power of ten

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The power of ten is 7 because the decimal moved 7 places.

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93,000,000 --- Standard Form 9.3 x 10 7 --- Scientific Notation

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Practice Problem 1) 98,500,000 = 9.85 x 10 ? 2) 64,100,000,000 = 6.41 x 10 ? 3) 0.00000279 = 2.79 x 10 ? 4) 4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten. 9.85 x 10 7 6.41 x 10 10 2.79 x 10 -6 4.2 x 10 6

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More Practice Problems 1) 0.0000681 = ______ x 10 -5 2) 870,000,000,000 = ______x 10 11 3) 90,000,000,000 = _____ x 10 10 On these, decide where the decimal will be moved. 1)6.81 x 10 -5 2) 8.7 x 10 11 3) 9 x 10 10

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Complete Practice Problems 1) 50,000 2) 0.0000072 3) 802,000,000,000 Write in scientific notation. 1) 5 x 10 4 2) 7.2 x 10 -6 3) 8.02 x 10 11

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Scientific Notation to Standard Form If exponent is positive, move decimal to the RIGHT. If exponent is negative, move decimal to the LEFT! 3.4 x 10 5 in scientific notation 340,000 in standard form 3.40000 --- move the decimal

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Write in Standard Form 6.27 x 10 6 9.01 x 10 -4 6,270,000 0.000901

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