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Which number is in exponential form: -10,, 10 Identify the Base of that number What is the exponent in that number? - the number being multiplied by itself ie. 10 +2

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10 x 10 Or the number of times the base is used as a factor. Also called the “power”

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10 0 = 10 1 = 10 2 = 10 3 = What are we doing each time to get the next number in standard form? 1 10 100 1000 = 1 x 10 = 10 x 10 = 100 x 10 Multiplying by 10

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10 3 = 1000 10 2 = 100 10 1 = 10 10 0 = 1 Do you see a pattern? 10 =

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What if we keep going down and use our negative integers as exponents? Based on our patterns we have just seen, what will happen? 10 1 = 10 1010 0 = 1 1010 -1 = 1/10 1010 -2 = 1/100 10 10 -3 = 1/1000

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0.1 Answer: 0.1 0.01 Answer: 0.01 0.001 Answer: 0.001

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Exponential FormFractionDecimal 10 1 10/110.0 10 0 1/1 1.0 10 -1 1/10 0.1 10 -2 1/100 0.01 10 -3 1/1000 0.001

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What type of numbers will be represented by powers of 10 with negative exponents? Answer: decimals and fractions, small numbers between 0 and 1 0.01 or 10 -2 1

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10 -x = 1 10 x Ex. 10 -2 = 1 = 1 =.01 10 2 100

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Write the following expression as a negative exponent 10 -3

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