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# Significant Figures

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### Significant Figures

1. 1. Image Source: http://img.ehowcdn.com
2. 2. Image Source: Google ImagesSignificant Figures are involved with estimated results.When we say there were 15 000 people at a car race,there were not exactly 15 000 people there.It is a rounded off estimate to two significant figures:There were 15 thousand people there.
3. 3. Images Source: Google ImagesThe Significant Rules figures covered in this presentationmust never be applied to “Exact Values”.• A \$15 000 transaction with the Bank is always a 5 SignificantFigures value, because it involves EXACTLY \$15 000, and is notan estimated or rounded off value: ALL FIGURES ARE SIGNIFICANT.•A Freeway Speed Limit of 100 km/hr is also an Exact Value,and has three significant figures.•An Exam Pass cutoff level of 50% is an exact value,and has two significant figures.
4. 4. Image Source: http://getstartedinscience.weebly.comSignificant Figures can be done using a set of around 5 rules,With a lot of complications for how to deal with zeroes.
5. 5. It is a lot easier to work out Significant Figures by takingour number and putting it into Scientific Notation.The number of resulting figures is the number of Significant Figures.1.496 x 108Image Source: http://www.inquisitr.com149 600 000 km149 600 000 has FOUR Significant Figures
6. 6. Keep in mind at all times the following:1.496 x 108= 149 600 000Normal Numbers bigger than 1, or large numbers,always have a POSITIVE Power of 10.Values smaller than 1, usually decimal values,always have a NEGATIVE Power of 10.6.2 x 101= 626.234 x 10-1= 0.62342.31 x 10-3= 0.00231
7. 7. 1.5  1041 5 0 0 0The Number is Greater than 10,so the Exponent will be Positive.15 000= Move the Decimal point to the LEFTto create a number between 1 and 10.Remove Zeroes that are not needed.1.5 0 0 0==15 000 has TWO Significant FiguresCount how many digits are present.4 places
8. 8. 1.502  1041 5 0 2 0The Number is Greater than 10,so the Exponent will be Positive.15 020= Move the Decimal point to the LEFTto create a number between 1 and 10.Remove Zeroes that are not needed.1.5 0 2 0==15 020 has FOUR Significant FiguresCount how many digits are present.4 places
9. 9. 1.5025  1041 5 0 2 5The Number is Greater than 10,so the Exponent will be Positive.15 025= Move the Decimal point to the LEFTto create a number between 1 and 10.Remove Zeroes that are not needed.1.5 0 2 5==15 025 has FIVE Significant FiguresCount how many digits are there.4 places
10. 10. 4.3  10-30 .0 0 4 3The Number is a decimal less than 1,so the Exponent will be Negative.0.0043=Move the Decimal point to the RIGHTto create a number between 1 and 10.Remove Zeroes that are not needed.0 0 0 4.3==0.0043 has TWO Significant FiguresCount how many digits are there.3 places
11. 11. 5.0  10-30 .0 0 5 0The Number is a decimal less than 1,so the Exponent will be Negative.0.0050= Move the Decimal point to the RIGHTto create a number between 1 and 10.Remove Zeroes that are not needed.NEVER REMOVE ZEROES THATCAME AFTER A DECIMAL POINT.0 0 0 5.0=We moved 3 places soPower of 10 is three : 10-3=2 Significant Figures3 places
12. 12. 2.70  10-20 .0 2 7 0The Number is a decimal less than 1,so the Exponent will be Negative.0.0270=Move the Decimal point to the RIGHTto create a number between 1 and 10.Remove Zeroes that are notneeded, but not ones from after aDecimal Pt.0 0 0 2.70==0.0270 has THREE Significant FiguresCount how many digits are there.2 places
13. 13. 1.539  1031 5 3 91539=1.539==1539 is 1500v3 is zero to four“Do No More”1.5  103=7.36  10-30 .0 0 7 3 60.00736=0 0 0 7.36==6 is 5 or bigger soRound up by +10.00736 is 0.00747.4  10-3=Now Convert this to a number. Now Convert this to a number.
14. 14. 1.539  1031 5 3 91539=1.539==1539 is 1540v2 is zero to four“Do No More”1.54  103=7.362  10-30 .0 0 7 3 6 20.007362=0 0 0 7.362==9 is 5 or bigger soRound up by +10.007362 is 0.007367.36  10-3=Now Convert this to a number. Now Convert this to a number.