Warm-Up

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Warm-Up

• Simplify each expression
• 6 103
• 3 10-3
• 5.24 102
• Which is bigger 103 or 10-3?

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SECTION 8.4SCIENTIFIC NOTATION

• SWBAT use scientific notation to represent numbers

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City of Leslie

• 36,241,920 square feet

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What is Scientific Notation?

• A number in scientific notation is written as the
  product of two factors in the form
• a x 10n
• where n is an integer and 1 a lt 10.

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• Examples
• 3.4 x 106 5.43 x 1013
  2.1 x 10-10
• Non-Examples
• 56.29 x 1012 0.84 x 10-3 24.1 x
  10-3

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Converting From Scientific Notation to Standard

• 1.55 x 106
• 2.3 x 103
• 3 x 10-11
• 1.2 x 10-3

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Converting from Standard Notation to Scientific
Notation

• 45,900,000
• 7,820,000,000
• 0.00985
• 0.0000325

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Standard Notation Scientific Notation
Number between 0 and 1 Negative Exponent
Number greater than 1 Positive Exponent
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Operations in Scientific Notation

• To multiply, divide, or find powers of numbers in
  scientific notation, use the properties of
  exponents.

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Example
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Example
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Example