Significant Figures and Rounding

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# Significant Figures and Rounding - PowerPoint PPT Presentation

Significant Figures and Rounding. Counting Sig. Figs. P acific a.k.a.: P resent Start with first non-zero, go in  direction. A tlantic a.k.a.: A bsent Start with first non-zero, go in  direction. Steps to Count # of Sig. Figs. See if decimal is present or not.

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## PowerPoint Slideshow about 'Significant Figures and Rounding' - bernard-ross

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### Significant Figures and Rounding

Counting Sig. Figs.

Pacific

a.k.a.: Present

Atlantic

a.k.a.: Absent

• Steps to Count # of Sig. Figs.
• See if decimal is present or not.
• Go from correct direction.
• Start counting at 1st Non-Zero #
• Keep counting until you run out of #s
Examples
• 300,150
• Decimal point absent – 5 sig figs
• 300.0
• Decimal point present – 4 sig figs
• 300
• Decimal point absent – 1 sig fig
• 0.0000015
• Decimal point present – 2 sig figs
• 631.10
• Decimal point present – 5 sig figs
Rounding Sig. Figs.
• Always start from the LEFT
• Start counting at the 1st non-zero #
• Count to the correct # of Sig. Figs.
• Round that #
• If that # is a 0 before the ones position, then turn to sci. not. and then round.
• For every # after the rounded position
• If before decimal, turn to zero
• If after decimal, drop
Example – Round 0.065930 to 2 S.F.
• Always start from the LEFT
• 0.065930
• Start counting at the 1st non-zero #
• 0.065930
• Count to the correct # of Sig. Figs.
• 0.065930
• Round that #
• 0.065930

Example – Round 0.065930 to 3S.F.
• Always start from the LEFT
• 0.065930
• Start counting at the 1st non-zero #
• 0.065930
• Count to the correct # of Sig. Figs.
• 0.065930
• Round that #
• 0.065930

Examples:

• 135.35 (4 S.F.)
• 135.35 (2 S.F.)
• 1.506 x 104 (3 S.F.)
• 5.80354 (3 S.F.)
• 100 (2 S.F.)
Determining the Number of Sig Figs in Calculations
• Find out the # of sig. figs. for all numbers
• Round to the lowest # of S. F.

Ex: 3.8 x 4.50 = (Round to 2 S.F.)

Determining the Number of Sig Figs in Calculations
• Round to the lowest place holding # that all of them have in common

Ex:

+ 12.0

+ 134.354

147.664 = 147.7