Scientific Notation

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!

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?

Negative powers of 10 2.5 x 10-3 = 2.5 x (1/10 x 1/10 x 1/10) = 0.0025 3 1 2 What is the relationship between the exponent on the 10 and the number of places the decimal moved?

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

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

Write the following number in Scientific Notation Example Write the following number in Scientific Notation 128 000 Move 1 decimal place: 128 00.0 Move 2 decimal places: 128 0.00 Move 3 decimal places: 128.000 Move 4 decimal places: 12.8000 Move 5 decimal places: 1.28000 1.28 x 105

Write the following number in Scientific Notation Example Write the following number in Scientific Notation 0.00016 Move 1 decimal place: 00.0016 Move 2 decimal places: 000.016 Move 3 decimal places: 0000.16 Move 4 decimal places: 00001.6 1.6 x 10-4

Putting numbers into Scientific Notation Large number = positive exponent (move decimal to left) Small number = negative exponent (move decimal to right)

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

Why do we need Scientific Notation? To calculate very LARGE or very SMALL numbers

Let’s Practice Workbook p.39 #1,2 p.40 #4,5,6,7,8,9,10