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Scientific Notation A short-hand way of writing large and small 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 Write number without zeros

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Step 3 Count how many places you moved decimal Make sure that you write a 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, Standard Form 9.3 x 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) 279,000,000 = 2.79 x 10 ? 4) 4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten x x x x 10 6

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More Practice Problems 1) 734,000,000 = ______ x ) 870,000,000,000 = ______x ) 90,000,000,000 = _____ x On these, decide where the decimal will be moved. 1)7.34 x ) 8.7 x ) 9 x 10 10

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Complete Practice Problems 1) 50,000 2) 7,200,000 3) 802,000,000,000 Write in scientific notation. 1) 5 x ) 7.2 x ) 8.02 x 10 11

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Scientific Notation to Standard Form Move the decimal to the right 3.4 x 10 5 in scientific notation 340,000 in standard form move the decimal

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Write in Standard Form 6.27 x x ,270,000 90,100

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What about a negative exponent? The sign of the exponent tells which direction to move the decimal. A positive exponent means you move the decimal to the right and a negative exponent means you move the decimal to the left.

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Negative Exponents in Scientific Notation When you have a negative exponent in scientific notation, you will move the decimal point to the LEFT!! * 10 ¯ 6 is

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What would the following be in standard form… * 10 ¯ 4 8 * 10 ¯ * 10 ¯ * 10 ¯ * 10 ¯

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Turn the following into scientific notation…

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What is the Exponent? * * * 10 9 * 10 3 * * * 10

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