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Scientific Notation
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Today’s lesson will focus on
Quiz Time A googol is: (pick one) a. Something you dress up as for Halloween b. A new kind of candy with gooey stuff in the center c. The number 10100 Today’s lesson will focus on powers with a base of 10!
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Positive powers of 10 4.5 x 104 = 4.5 x (10 x 10 x 10 x 10)
= 45000 1 3 4 2 What is the relationship between the exponent on the 10 and the number of places the decimal moved?
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Negative powers of 10 2.5 x 10-3 = 2.5 x (1/10 x 1/10 x 1/10)
= 3 1 2 What is the relationship between the exponent on the 10 and the number of places the decimal moved?
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When going from Scientific Notation
to decimal notation a x 10n Positive exponent = move decimal place to right n amount of times a x 10-n Negative exponent = move decimal place to left n amount of times
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a = number with only ONE digit
Scientific Notation a x 10n a = number with only ONE digit to the left of the decimal DIGIT = the numbers from 1 to 9
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Write the following number in Scientific Notation
Example Write the following number in Scientific Notation Move 1 decimal place: Move 2 decimal places: Move 3 decimal places: Move 4 decimal places: Move 5 decimal places: 1.28 x 105
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Write the following number in Scientific Notation
Example Write the following number in Scientific Notation Move 1 decimal place: Move 2 decimal places: Move 3 decimal places: Move 4 decimal places: 1.6 x 10-4
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Putting numbers into Scientific Notation
Large number = positive exponent (move decimal to left) Small number = negative exponent (move decimal to right)
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Brain Break – Fun Facts! 1033 = Decillion 109 = Billion 1036
= Undecillion 1012 = Trillion 1015 = Quadrillion 1039 = Duodecillion 1018 = Quintillion 1045 = Quattuordecillion 1024 = Septillion 1054 = Septemdecillion 1057 = Octodecillion 1027 = Octillion 1060 = Novemdecillion 1030 = Nonillion
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Why do we need Scientific Notation?
To calculate very LARGE or very SMALL numbers
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Let’s Practice Workbook p.39 #1,2 p.40 #4,5,6,7,8,9,10
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