When multiplying or dividing two or more numbers with exponents, the fractional

Question

When multiplying or dividing two or more numbers with exponents, the fractional uncertainty of the product or quotient is where the absolute uncertainty, Delta z is equal to the fractional uncertainty times z. the length of a rectangle is l + 20.1 plusminus 0.2 cm and the width is W = 31.7 plusminus 0.5 cm. What is the area of the rectangle? Also, calculate the uncertainty using the two methods and enter your values below. plusminus or plusminus cm2 tries 0/10 Suppose the distance traveled by a car in 8.3 plusminus 0.1 s is 209.0 plus minus 0.5 m, what is the average speed of the car? Also, calculate the uncertainty using the two methods and enter your values below. plusminus or plusminus m/s Tries 0/10

Explanation / Answer

1.area = 637.17 0.2/20.1 + 0.5 / 31.7 = .0257 error = 16.375 error2 = sqrt(3.478*10^-4) = .0186 error2 = 11.77 2. distance = 25.18 relative error1 = 0.01444 error1 = .37256 relative error2 = .01228 error2 = .309

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