Question

Propagation of Uncertainty: multiplication and division

How did the numbers in red get converted to the percent form in pink?

Propagation of Uncertainty Multiplication and Division %@ams = 1(%e) +(%e,)? +(%e,).... 1.76(+0.03)~1.89 (+0.02) - 56te. 0.59(0.02) ns. 1.76(+1.9%)1.89(1.%) 0.59(+3.,%) 5.6+eon ons Rounding rules different... 1.0495 =1.04 1.05001 =1.05 en = V1., +1, +3.2 =4.%

How did the numbers in red get converted to the percent form in pink?

Answer 1

5 176 (.03 ) x 1.89 (10.02) 4 0.59 (10.02) ST In genral we can write. on(a) xy (6) - we do m (axloovl)xy (94x100)y, zce) 2(x100%) apply on given values 1.76 (+0.03 *100) x 1189 (+ 0 0 2x) 0.69 14 0102 x100) Iget 1.059 - 176 (41.7%) x 1.89 (+1.17.) the values 0.59 (+ 3.4%) > I get + 3.389 Round at = 3.34 1.76 0.59 and roundig ey = √61.72 + (19)2 + (3.4)2 = 4.0%