Sig Fig (Significant Figures) Calculator

Rules for significant figures · 1) Every digit that is not zero is significant. · 2) When zeros are between digits that are not zeros, they are significant. · 3) ... Home»ConversionCalculators»SigFig(SignificantFigures)CalculatorSignificantFiguresCalculatorThesignificantfigurescalculatorundertakescalculationswithsignificantfiguresandworksouthowmanysignificantfigures(sigfigs),i.e.,digits,anumberholds.Simplyinputanumberormathematicalexpression,thenclickthe"Calculate"buttonfortheanswer.Operatorsandfunctionsthataresupported:Arithmeticoperators:addition(+),subtraction(-),division(/or÷),multiplication(*or×)andexponent(^)Groupsymbols:()Functions:logn,lnnConstants:pi,eExactquantitiesIncalculatingwithsigfigsonesometimesencountersquantitiesthatareexactasopposedtohavinglimitedaccuracy.Youcanenteranexactquantitybyappendingan#toendofthenumber;e.g.3.2#.Forinstance,ifyouwanttoconvert3.00045gsulfurtomolesusingsulfur'smolecularweightof32.06g/molyouwouldusethefollowingcalculation:3.00045/32.06#=0.0935886molsulfurasopposedtothecalculation:3.00045/32.06=0.09359molsulfurwhere32.06istakentoonlyhave4significantfiguresandaccuracyistherebylostinthiscalculation.Rules:Thiscalculatorappliesasetofrulestodeterminesignificantfigures.Theseareoutlinedbelow:Addition/subtractionroundedtothelowestnumberofdecimalplaces.Multiplication/divisionroundedtothelowestnumberofsignificantfigures.Logarithmsroundedsothatanumberofsignificantfiguresintheinputmatchthenumberofdecimalsintheresult.Exponentiationroundedtothecertaintyinthebaseonly.Toenumeratetrailingzeros,itplacesadecimalpointafterthenumber(e.g.,100000.)orexpressitinscientificterms(e.g.,1.00000×10^5or1.00000e+5).Roundsonthelaststep,followingparentheses,whenappropriate.SigFig(SignificantFigures)CalculatorExpressionorNumber: Operators&Functions:+ - × ÷ ^(Exp) ×10n log10(n) loge(n) π eRoundtoSigFigs(optional): ActualValue:Result:ScientificNotation:ENotation:SignificantFigures:Decimals:0DescribingSignificantFiguresWhenwereportvaluesthatarederivedfromameasurementorthatwerecalculatedbyemployingmeasuredvalues,weneedamethodbywhichwecandeterminethemeasurement'slevelofcertainty.Wecandothisbyemployingsignificantfigures.Significantfiguresrepresentthedigitswithinavaluethatwehaveacertainamountofconfidencethatweknow.Asthequantityofsignificantfiguresrises,themeasurementbecomesmorecertain.Asthemeasurementbecomesmoreprecise,thenumberofsignificantfiguresincreases.Rulesforsignificantfigures1)Everydigitthatisnotzeroissignificant.Forexample:2.437includesfoursignificantfigures327includesthreesignificantfigures2)Whenzerosarebetweendigitsthatarenotzeros,theyaresignificant.Forexample:700021includessixsignificantfigures3049includesfoursignificantfigures3)Whenazeroistotheleftofthefirstdigitthatisnotazero,itisnotsignificant.Forexample:0.003333includesfoursignificantfigures0.00098includestwosignificantfigures4)Trailingzeros(zeroswhichcomeafterthefinalnon-zerodigit)aresignificantifthenumbercontainsadecimalpoint.Forexample:8.000includesfoursignificantfigures800.includesthreesignificantfigures0.080includestwosignificantfigures5)Ifthenumberdoesnothaveadecimalpoint,trailingzerosarenotsignificant.Forexample:500or5×10^2onlyincludesonesignificantfigure51000includestwosignificantfigures6)Inscientificnotation,alldigitsbeforethemultiplicationsignaresignificant.Forexample:1.603×10^-4includesfoursignificantfigures7)Thenumberofsignificantdigitsinexactnumbersisinfinite.Thisisalsotruefordefinednumbers.Forexample:1meter=1.0meters=1.000meters=1.00000000metersetc.ExamplesofSignificantFiguresNumber#ofSigFigsSignificantFigures10011100.041,0,0,00.01110.05157127,112500031,2,50.1050051,0,5,0,00.002522,515000.1571,5,0,0,0,1,50.075037,5,00.1012051,0,1,2,01500.41,5,0,07.128×10-347,1,2,8SignificantFiguresQuizDeterminethenumberofsignificantfiguresineachofthefollowingmeasurements.YouScored%-/Measurement:5.72lbsSignificantFigures?Simplycountthenumberofdigitsinthismeasurement. The5intheonesplace,the7inthetenthsplace,andthe2 inthehundredthplace.Measurement:500.243mgSignificantFigures?Sinceweknowthemeasurementdowntothethousandthsplace,wemust alsoknowforcertainthetenthsandonesplace.Thereforethese zerosmustcarrysignificance.Measurement:0.00068cmSignificantFigures?Theleadingzerosinthisdecimalmeasurementareonlyplaceholdersand therebyimpartnosignificance.Measurement:14.0acresSignificantFigures?Remember,trailingzerosinthedecimalsplacestillcontributemeaningas theyaren'tneededasplaceholdersandtherebycountinsigfigs.Measurement:500tonsSignificantFigures?Asbefore,countthenumberofdigits,butnowweknownottoincludetrailing zeros.Measurement:1.402×1018atomsSignificantFigures?Rememberthatallofthedigitsbeforethemultiplicationsign-andonlythesedigits-contributesignificance.CheckAnswersSignificantfiguresinoperations:AdditionandsubtractionWithadditionandsubtraction,youshouldroundyourfinalresultsoitsprecision(numberofdecimalplaces!)matchestheprecisionoftheleastprecisenumber,nomatterhowmanysignificantfiguresanyparticulartermpossesses.Forexample:87.221+1.2=88.421butyoushouldroundthisvaluedownto88.4(sothatitmatchestheprecisionoftheleastprecisenumberinthesum,1.2)Multiplication,division,androotsInmultiplication,divisionorwhentakingroots,yourresultsshouldberoundedsothatthefinalresulthasthesamenumberofsignificantfiguresasthenumberwiththeleastnumberofsignificantfigures.Forexample:3.14×2.2048=6.923072butyoushouldroundthisvaluedownto6.92(themeasurementwiththeleastsignificantfiguresis3.14,whichhas3significantfigures,roundingto3sigfigsgives6.92)LogarithmsIfyouarecalculatingthelogarithmofanumber,youshouldmakesurethatthemantissa(thefiguretotherightofthedecimalpointintheanswer)containsanidenticalnumberofsignificantfiguresasthenumberofsignificantfiguresofthenumberofwhichthelogarithmisbeingcalculated.Forexample:log(2×10^5)=5.301029995663981-youshouldroundthisfigureto5.3MultipleMathematicalOperationsShouldacalculationrequireanumberofmathematicaloperationstobecombined,doitwithmorefiguresthanthenumberthatwillbesignificanttogetyourvalue.Thenreviewthecalculationand,byapplyingtherulesabove,calculatethenumberofsignificantfiguresneededinthefinalresult.YoumayalsobeinterestedinourScientificNotationCalculatorFacebookTwitterCurrently4.68/512345Rating:4.7/5(318votes)Top10BestCalculatorsUnitedStatesIncomeTaxCalculatorEarnedIncomeCreditCalculatorOvertimeCalculatorCarDepreciationCalculator newVADisabilityCalculatorWaterIntakeCalculator newPayRaiseCalculatorStockCalculatorRatioCalculatorAPFTCalculatorSalary&IncomeTaxCalculatorsRetirementCalculatorsMortgageCalculatorsDepreciationCalculatorsStatisticsandAnalysisCalculatorsDateandTimeCalculatorsContractorCalculatorsBudget&SavingsCalculatorsLoanCalculatorsForexCalculatorsRealFunctionCalculatorsEngineeringCalculatorsTaxCalculatorsVolumeCalculators2DShapeCalculators3DShapeCalculatorsLogisticsCalculatorsHRMCalculatorsSales&InvestmentsCalculatorsGrade&GPACalculatorsConversionCalculatorsRatioCalculatorsSports&HealthCalculatorsOtherCalculators©CopyrightGoodCalculators2021.AllRightsReserved WidgetsPrivacyAboutUsJoinwithusx