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Significant Figures “SIG FIGS”
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What are Significant Figures?
In science we say that significant figures are the figures (#’s) in a measurement that consist of all of the numbers known plus one # which is somewhat uncertain or estimated.
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What measurement is represented in the diagram?
2.35 cm How many “sig figs”? 3
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Rules for Sig Figs All non zero numbers are Significant. Ex. 45.87
4 significant figures
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Numbers with zeros Zeros appearing between non-zero numbers are significant. Ex: sig figs Zeros to the LEFT of a number are NOT SIGNIFICANT. (they are just placeholders) Ex sig figs Zeros at the end of a number and to the right of a decimal point are significant. Ex sig figs
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Zero rules cont. Zeros at the end of a measurement are questionable.
Ex: sig figs Ex: 100 ? Ask the source If there is no decimal at the end assume that the zeros are NOT significant
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And now for a trick that will blow your mind.
Pacific Atlantic
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And now for a trick that will blow your mind.
P A
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If the decimal point is Present…
1. Move in from Pacific side P A
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If the decimal point is Present…
1. Move in from Pacific side P A 2. Cross out zeros and start counting at the first non-zero number
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If the decimal point is Present…
1. Move in from Pacific side P A 2. Cross out zeros and start counting at the first non-zero number
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If the decimal point is Present…
1. Move in from Pacific side P A 2. Cross out zeros and start counting at the first non-zero number 3. Every number after that is significant!!
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If the decimal point is Present…
1. Move in from Pacific side P 4 sig figs!! A 2. Cross out zeros and start counting at the first non-zero number 3. Every number after that is significant!!
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If the decimal point is Absent…
1. Move in from the Atlantic side P A 90,000,000 90
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If the decimal point is Absent…
1. Move in from the Atlantic side P A 90,000,000 2. Cross out zeros and start counting at the first non-zero number 90
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If the decimal point is Absent…
1. Move in from the Atlantic side P A 90,000,000 2. Cross out zeros and start counting at the first non-zero number 90
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If the decimal point is Absent…
1. Move in from the Atlantic side P A 90,000,000 2. Cross out zeros and start counting at the first non-zero number 90 3. Every number after that is significant!!
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If the decimal point is Absent…
1. Move in from the Atlantic side P A 90,000,000 1 sig fig! 2. Cross out zeros and start counting at the first non-zero number 90 3. Every number after that is significant!!
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