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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? SECTION 8.4: SCIENTIFIC NOTATION SWBAT use scientific notation to ... – PowerPoint PPT presentation

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Title: Warm-Up


1
Warm-Up
  • Simplify each expression
  • 6 103
  • 3 10-3
  • 5.24 102
  • Which is bigger 103 or 10-3?

2
SECTION 8.4SCIENTIFIC NOTATION
  • SWBAT use scientific notation to represent numbers

3
City of Leslie
  • 36,241,920 square feet

4
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.

5
  • 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

6
Converting From Scientific Notation to Standard
  • 1.55 x 106
  • 2.3 x 103
  • 3 x 10-11
  • 1.2 x 10-3

7
Converting from Standard Notation to Scientific
Notation
  • 45,900,000
  • 7,820,000,000
  • 0.00985
  • 0.0000325

8
Standard Notation Scientific Notation
Number between 0 and 1 Negative Exponent
Number greater than 1 Positive Exponent
9
Operations in Scientific Notation
  • To multiply, divide, or find powers of numbers in
    scientific notation, use the properties of
    exponents.

10
Example
11
Example
12
Example
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