SCIENTIFIC NOTATION

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SCIENTIFIC NOTATION
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Standard Form
485
The standard form of a number is the way we are
used to seeing a number written.
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Scientific Notation
485 4.85 x 102 Standard Form
Scientific Notation

• Scientific Notation is when a number is written
  as a number between 1 and 10, times a power of
  10.

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Writing a number using Scientific Notation..

• Rewrite the number so it is a number between 1
  and 10.
• Example
• 2670 becomes 2.67

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• Multiply this decimal number by the power of ten
  that will move the decimal point back to its
  original position.
• Example
• 2670 became 2.67 x 103
• We put an exponent of three because the
  decimal moved three places from its original
  location.

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Example 1
8,300,000

1. Move the decimal point to make the number between
   1 and 10.

8.3

• Multiply by 10 with an exponent that indicates
  how far the decimal
• has moved.

8.3 x 106
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Example 2
0.00079

1. Move the decimal point to make the number between
   1 and 10.

7.9

1. Multiply by 10 with an exponent that indicates
   how far the decimal has moved.

7.9 x 10-4
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Your turn to practice.

• Try writing the number in Scientific Notation and
  Standard Form.

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1.

1. 402,000
2. 68,000,000
3. 0.08510
4. 0.0000014

a) 4.02 x 105
b) 6.8 x 107
c) 8.510 x 10-2
d) 1.4 x 10-6
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2.
a) 209,000

1. 2.09 x 105
2. 3.67 x 10-3
3. 7.4 x 108
4. 9.30 x 10-5

b) 0.00367
c) 740,000,000
d) 0.0000930