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Scientific Notation

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Scientific Notation Used for very small or very large numbers Write out 1 million Write out 2.75 billion Write out 602 sexillion That is 24 digits total – PowerPoint PPT presentation

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Title: Scientific Notation


1
Scientific Notation
  • Used for very small or very large numbers
  • Write out 1 million
  • Write out 2.75 billion
  • Write out 602 sexillion
  • That is 24 digits total

2
Scientific Notation
  • Consists as a product of 2 numbers.
  • A coefficient and a power of 10
  • 6.02 x 1023 602 sexillion
  • 2.5 x 104
  • 2.5 x 10 x 10 x 10 x 10
  • Or 25000

3
Put the following into scientific notation
  • A) 36,000
  • B) 5,200,000
  • C) .00521

4
Significant figures
  • The digits known precisely 1 digit.
  • A method of reporting measurements.
  • Your odometer reads to the tenth. Its not
    appropriate to report a distance measured with an
    odometer as 14.745369328576 miles

5
Significant Figures
  • Reporting measurements correctly is the easy part
  • The line is between longer than 6.0 cm, shorter
    than 6.1 cm
  • We know precisely 6.0, we can estimate the next
    digit
  • 6.05cm
  • This ruler measures to 3 SIGNIFICANT FIGURES

6
Significant figuresrules
  • Leading Zeros are NOT significant
  • 0.0065 PASCAL's
  • 0.45 meters
  • These are place holding zeros. Write these
    measurements in scientific notation to avoid
    place holding zeros

Reading other peoples measurements
  • Every NON-zero is significant
  • 24.7 m
  • 74 ml
  • 582 g
  • Zeros between NON-zeros are significant
  • 10035 ft
  • 4007 g

7
Significant figuresrules
Reading other peoples measurements
  • Ending zeros AFTER a decimal point ARE
    significant.
  • 47.00m (4)
  • 20.010 g (5)
  • Ending zeros BEFORE a decimal point. Are NOT
    significant
  • 7000m (1)
  • These are once again place holders
  • UNLIMITED
  • Counting
  • of kids in the class
  • Exactly defined quantities
  • 1hr60 minutes
  • This is an exact definitionThe significant
    figures are unlimited.
  • You could say 1 hr 60.000000000000 min

8
Significant Figures and calculations
  • Have you ever asked a teacher How many numbers
    do I write down?
  • The real answer depends on the number of
    significant figures in the calculation

35.448796415
9
Significant Figures and calculations
  • ,-
  • round to the same of places as the
    measurement with the least significant place
    value.
  • Ex 45.716g
  • 17.1 g
  • 62.816g
  • Report as 62.8 g

62.816
10
Significant Figures and calculations
  • Multiplication and division.
  • Round to the of significant figures in the
    least accurate term.
  • Ex 17.8 x 357.8796
  • Answer 6370.25688
  • 17.8 has 3 significant figures
  • Report the answer as 6370

6370.25688
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