Estimate the absolute standard deviation (or uncertainty) for the results of the following calculations. Round each result so that it contains only  significant digits. The numbers in parentheses are absolute standard deviations. Show  your solution and express the final answer and its  corresponding uncertainty. a)  y= 2.998(±0.002)   - 3.98 (±0.15) + 9.035 (±0.002) = 8.0531 b)  y= 39.2(±0.3) x 3.054 (±0.022) x 10^ -2 = 1.197

Question

Estimate the absolute standard deviation (or uncertainty) for the results of the following calculations. Round each result so that it contains only  significant digits. The numbers in parentheses are absolute standard deviations. Show  your solution and express the final answer and its  corresponding uncertainty.
a)  y= 2.998(±0.002)   - 3.98 (±0.15) + 9.035 (±0.002) = 8.0531

b)  y= 39.2(±0.3) x 3.054 (±0.022) x 10^ -2 = 1.197  

c)   y= [198(±6)   - 89 (±3)] / 1335 (±2) + 64 (±7)]  = 7.791 x 10^-2

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