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Scientific Notation (6.6) Moving decimals To and fro.

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Presentation on theme: "Scientific Notation (6.6) Moving decimals To and fro."— Presentation transcript:

1 Scientific Notation (6.6) Moving decimals To and fro

2 Start with a POD Multiply on your calculators: 102400 X 3926000 What sort of answer pops up on the screen? What does it mean?

3 Basic vocabulary 4.02 X 10 11 In this number, 4.02 is the mantissa (to make weight) also called: coefficient, significand ranges from 1 to less than 10 11 is the characteristic (giving the size of the number) can be positive, negative, or 0 There are 3 significant digits (4, 0, and 2).

4 Try it Give the characteristic, mantissa and number of significant digits for each of the following: 1.3.216 x 10 -5 2.8.4 x 10 2 3.-1.17 x 10 9

5 Conversion Convert to scientific notation. How many significant digits are in each one? 1.9 2.3250000 3..007814 4..2024 5.24.7 million

6 Conversion Convert from scientific notation. What would the notation for these look like on your calculators? 1.3.15 x 10 8 2.4.2 x 10 -12 3.9.7 x 10 0 4.8.111115 x 10 5 5.5.7 x 10 1

7 Multiply Multiply and express in scientific notation. 1.(3 x 10 17 )(4 x 10 2 ) 2.(4 x 10 15 )(5.2 x 10 -13 ) 3.(6.8 x 10 8 )(2 x 10 -21 )


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