Scientific notation
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Scientific Notation. What does the sun weigh? 4,400,000,000,000,000,000,000,000,000,000 lbs. How much hydrogen does the sun burn each second? 600,000,000 metric tons. Scientific Notation. How much longer will the sun burn? 6,000,000,000 years. Scientific Notation.

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Scientific Notation

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Scientific Notation

  • What does the sun weigh?

  • 4,400,000,000,000,000,000,000,000,000,000 lbs.

  • How much hydrogen does the sun burn each second?

  • 600,000,000 metric tons


Scientific Notation

  • How much longer will the sun burn?

  • 6,000,000,000 years.


Scientific Notation

  • Let’s look at these large Numbers

  • 4,400,000,000,000,000,000,000,000,000,000 lbs.

  • 600,000,000 metric tons

  • 6,000,000,000 years

  • Each of these numbers can be written in a different form called Scientific Notation


Scientific Notation

  • Scientific Notation is made up of 2 parts.

  • 1st Part = a number between 1 and 10

  • 2nd Part = x 10 to some power

  • If it doesn’t have both parts, it is NOT Scientific Notation.


Scientific Notation

  • Let’s change these large Numbers to Scientific Notation…..

  • 4,400,000,000,000,000,000,000,000,000,000 lbs.

  • 4.4 x 1030 lbs.

  • Place the decimal pt. after the first # and then count to the end.


Scientific Notation

  • 600,000,000 metric tons

  • 6.0 x 10?

  • 6.0 x 108 metric tons

  • 6,000,000,000 years

  • 6.0 x 109 years


Change to Scientific Notation

  • 1570

  • Place the decimal just after the first number. 1.570

  • Then count the # of places 1570

= 1.57 x 103


Change to Scientific Notation

  • 832,000,000

  • Place the decimal just after the first number.

  • Then count the # of places

  • 832,000,000

=8.32 x 108


Change to Scientific Notation

  • 2450 = 2.45 x 103

  • 765,000,000 = 7.65 x 108

  • 0.000722 = 7.22 x 10-4

Notice that if the decimal moves right the exponent is negative and if it moves left, the decimal is positive.


Change to Scientific Notation

  • 0.000722

  • Place the decimal just after the first number.

  • Then count the # of places.

  • 000722

= 7.22 x 10-4


Change to Standard Notation

  • Now let’s go backwards and change from Scientific Notation to Standard Notation.


Change to Standard Notation

  • 4.53 x 105

  • Move the decimal point 5 places to the right.

  • 453000

= 453,000


Scientific Notation

  • (5 x 103)(4 x 105)

  • 5 x 4 = 20

  • 103 x 105 = 108

  • 20 x 108

Now convert to Scientific Notation

2.0 x 109


Try this one

  • 820,000,000

8.2

Place the point after the 1st #

Count to the end

8.2 x 108


Try this one

  • (6 x 102)(3 x 107)

  • 6 x 3 = 18

  • 102 x 107 = 109

  • 18 x 109

Now convert to Scientific Notation

1.8 x 1010


Try this one

  • (5 x 103)2 =

  • (5 x 103) (5 x 103)

  • 5 x 5 = 25

  • 103 x 103 = 106

  • 25 x 106 =

2.5 x 107


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