Significant Figures

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Significant Figures Scientific Notation
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Significant Figures

• What do those words mean?
• Important numbers

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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)

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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

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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)

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Significant Figures - Math

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

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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

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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

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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 ?

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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

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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

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Scientific Notation

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

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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

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Scientific Notation

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

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Scientific Notation

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

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Scientific Notation

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

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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

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Homework

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