Significant figure rules

In a composed operation, intermediate results are not rounded.

Addition / substraction

keep the number of decimals of the term that has the least decimals

Multiplication / division

keep the number of significant figures of the term that has the least significant figures

ln(x) and log(x)

keep as many decimals as significant figures in x
EXAMPLE: ln(8.3e-23) = -22.08

10^x

keep as many significant figures as x has decimals
EXAMPLE: 10^-12.3 = 5e-13

e^x

keep the same amount of significant figures
EXAMPLE: e^5.32 = 204

sin(x)

the number of significant figures of the result equals the sum of the number of significant figures and decimals of x
EXAMPLE: sin(89.31) = .999927

 

Midnight sun season, Barryneset, 27 June 2006

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