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Published byMichael Morrison Modified over 9 years ago
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Scientific Notation Helping us write really tiny or really big numbers
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Carelessness when using numbers I have a million math problems to do I have a trillion things to get done tonight If you win 1 million dollars and you’re given the prize in 100 dollar bills, your stack of money is…. 4 inches high
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However… If you win 1 trillion dollars and you’re given the prize in 100 dollar bills, your stack of money is…. 67 miles high
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Rules to Scientific Notation Parts: 1. Coefficient (mantissa) – must be a number from 1 – 9.9 2. Exponent – a power of 10 3.4 x 10 21 Easier than writing 3,400,000,000,000,000,000,000
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Numbers Greater Than 9.9 1. Find the number by moving the decimal point that is between 1 – 9.9 45,300,000 4.53 2. Write a positive exponent which is equal to the number of places you moved the decimal point to the left. 4.53 x 10 7
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Numbers Less Than 1 1. Find the number by moving the decimal point that is between 1 – 9.9 0.000291 2.91 2. Write a negative exponent which is equal to the number of places you moved the decimal point to the right. 2.91 x 10 -4
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Be Careful… Remember the rule about the coefficient! Ex. (4.0 x 10 3 ) x (3.0 x 10 4 ) = 12.0 x 10 7 WRONG!!! Answer = 1.2 x 10 8
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Special Note Sometimes exponents are written differently. We are used to 3.4 x 10 5 However, you may see 3.4E5 It means the same thing (“E” represents the exponent and replaces x 10)
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