Basic Training 4th Annual ICP Conference

Even More Significant Figures

• Rules (continued)

• Multiplication/Division

• The final answers has the same number of significant figures as the number with the fewest significant figures.

! .

"# )(

$ .

%&% )=

' .

%#()( →

' . %" (report 3 significant figures)

(

IV “Textbook” Example ! "#$%&'̅ ! ")* + ")* ,- "#$%&' ".&/)0.1 ,- "#$%&' 2 = + "#$%&' 4 5.$6 = 7 0 8 0 9 = 8 : 9 + 8 9 9 + ⋯ = = : > : ∗ 100 9 + = 9 > 9 ∗ 100 9 + ⋯ Error Budget Density Intensity NIST C std Smpl soln wt

u_x

u_x/x

0.00071

0.004040061

0.001375184

0.0003

3.00E-06

Smpl alq wt

0.014 0.000294975