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# Scientific Notation - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Scientific Notation' - ferris

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Presentation Transcript

• 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

• How much longer will the sun burn?

• 6,000,000,000 years.

• 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 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.

• 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.

• 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

• 1570

• Place the decimal just after the first number. 1.570

• Then count the # of places 1570

= 1.57 x 103

• 832,000,000

• Place the decimal just after the first number.

• Then count the # of places

• 832,000,000

=8.32 x 108

• 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.

• 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

• (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

• 820,000,000

8.2

Place the point after the 1st #

Count to the end

8.2 x 108

• (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

• (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