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Significant Figures

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Title: Significant Figures


1
Significant Figures Scientific Notation
2
Significant Figures
  • What do those words mean?
  • Important numbers

3
Significant Figures
  • What numbers are significant
  • Always significant
  • Numbers 1-9
  • Sometimes significant
  • 0
  • Significant 0
  • When between two significant numbers (709)
  • When decimal number ends in zero (8.50)
  • Not Significant 0
  • When zero is just taking up space as a place
    holder (100)

4
Significant Figure Quiz
  • Write the number of significant figures each of
    the following numbers have
  • 0.00708
  • 1,080
  • 10,000,000,000
  • 0.0100
    5.89321
  • (Answer from the right) 2.3

5
Significant Figure Quiz Answers
  • Write the number of significant figures each of
    the following numbers have
  • 0.00708
  • 1,080
  • 10,000,000,000
  • 0.0100
    5.89321
  • (Answer from the right) 2.3
  • (8.2)

6
Significant Figures - Math
  • When adding or subtracting
  • Look at the least common value (tenths,
    hundredths
  • Examples
  • 52.789 3.8 ?
  • 16 4.350 ?

7
Significant Figures - Math
  • When adding or subtracting
  • Look at the least common value (tenths,
    hundredths
  • Examples
  • 52.789 3.8 ?
  • 52.789 Because the least common
    place
  • 3.8____ value is tenths, you round
    your
  • 56.589 answer to the nearest
    tenths
  • Answer 56.6

8
Significant Figures - Math
  • When adding or subtracting
  • Look at the least common value (tenths,
    hundredths
  • Examples
  • 16 4.350 ?
  • 16 Because the least
    common place
  • - 4.350 value is the ones, you
    round your
  • 11.650 answer to the nearest
    ones
  • Answer 12

9
Significant Figures - Math
  • When multiplying or dividing
  • Look at the least number of significant figures
  • Examples
  • 11.859 x 4.6 ?
  • 24.859 6.17 ?

10
Significant Figures - Math
  • When multiplying or dividing
  • Look at the least number of significant figures
  • Examples
  • 11.859 x 4.6 ?
  • 11.859 x 4.6 54.5514 Because the
    least number of
  • (5) (2) (2)
    significant figures is 2, youll only
    have 2 numbers in your answer
  • Answer 55

11
Significant Figures - Math
  • When multiplying or dividing
  • Look at the least number of significant figures
  • Examples
  • 24.859 6.17 ?
  • 24.859 6.17 4.0290113 Because
    the least number of
  • (5) (3) (3)
    significant figures is 3, youll only
    have 3 numbers in your
    answer
  • Answer 4.03

12
Scientific Notation
  • What is it?
  • A scientific way to write enormous or teeny
    numbers

13
Scientific Notation
  • What does it look like?
  • Coefficient any number between 1 and 10
  • Base x 10 (it will always be x 10)
  • Exponent tells you how many times to move the
    decimal point
  • Positive expenent move to the right
  • Negative exponent move to the left

14
Scientific Notation
  • You need a coefficient, base, and exponent
  • Examples
  • 5,040,000,000,000,000 ?
  • 0.000000000000016 ?

15
Scientific Notation
  • You need a coefficient, base, and exponent
  • Examples
  • 5040000000000000 ?
  • Answer 5.04 x 1015
  • 0.000000000000016 ?
  • Answer 1.6 x 10 -14

16
Scientific Notation
  • You need a coefficient, base, and exponent
  • Examples
  • 8.23 x 1014 ?
  • 1.25 x 10-9 ?

17
Scientific Notation
  • You need a coefficient, base, and exponent
  • Examples
  • 8.23 x 1014 823000000000000.
  • Answer 823,000,000,000,000
  • 1.25 x 10-9 0.00000000125
  • Answer 0.00000000125

18
Homework
  • Significant Figures Scientific Notation WS
    (Front Back) (Due Tomorrow)
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