Scientific Notation

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Scientific Notation
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Why do we use it?

• for LARGE numbers like 602,000,000,000,000,000,00
  0,000
• for small numbers like
• 0.000 000 000 000 920
• Its easier (and less confusing) to use them in
  scientific notation

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What does it look like?

• M x 10n
• M is a number between 1 and 10
• M CAN be a decimal like 3.2
• n is the number of decimal places moved

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What do you meanmove the decimal???

• If n is positive its a BIG number and the
  decimal moves to the RIGHT
• 3.0 x 104 30,000.
• If n is negative its a small number and the
  decimal moves to the LEFT
• 3.0 x 10-4 .0003

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Lets practice . . .

• 1) 7 x 103
• 6.8 x 106
• 3) 1.356 x 10-4
• 4) 7.42 x 10-3

7,000
6,800,000
.0001356
.00742
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Are you having fun yet?
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Oh waittheres more! How about in reverse?

• Can you change a number like 7,000 into
  scientific notation??

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FIRST

• Place a decimal in the number that would make it
  between 1 and 9
• In this case 7.000

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SECOND

• Look at the number Is it big or small???
• If its BIGGER than 1 ? positive exponent
• If its SMALLER than 1 ? negative exponent

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LAST

• Look at how many places you had to move the
  decimal point this will be the number of your
  exponent
• In this case you moved it from here to here
• 7,000. 7.000
• Thats 3 places, so your exponent is 3!

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Okey dokey! Lets try these!

• 1) 6,800,000
• 6.8 x 106
• 2) 13,430,000
• 1.343 x 107
• 3) 0.03459
• 3.459 x 10-2

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Were finished . . .
with notes!!! ?