Find the absolute and percent relative error for each calc.

b) 81.5 (+/- 0.5) x 40.2 (+/- 0.2)/ 21.8 (+/- 0.2)

my answer for absolute error was 150. +/- 200, which is outrageous. Can someone show how they would do it so I can compare and find my mistake?

error/(81.5* 40.2/ 21.8)=.5/81.5 +0.2/40.2 + .2/21.8

absolute error = about 3, so the percent error would be 3/(81.5* 40.2/ 21.8) *100 or 300/150 about 2 percent.

check you work.

To find the absolute and percent relative error for the given calculation, we need to consider the uncertainties and perform error propagation calculations. Here's how you can calculate the absolute and percent relative error for the expression:

1. Start by considering the relative uncertainties for each value:
- For 81.5, the relative uncertainty is 0.5/81.5.
- For 40.2, the relative uncertainty is 0.2/40.2.
- For 21.8, the relative uncertainty is 0.2/21.8.

2. Next, multiply each relative uncertainty by its respective value and add them together:
(0.5/81.5) + (0.2/40.2) + (0.2/21.8)

3. Calculate the absolute error by multiplying the result from step 2 by the given calculation:
(0.5/81.5 + 0.2/40.2 + 0.2/21.8) * (81.5 * 40.2 / 21.8)

4. Simplify the expression in step 3 to obtain the absolute error value.

5. Finally, calculate the percent relative error by dividing the absolute error (from step 4) by the original calculation and multiplying by 100:
(absolute error / (81.5 * 40.2 / 21.8)) * 100

To verify your calculations, let's go through the process step by step:

1. Relative uncertainties:

For 81.5: 0.5/81.5
For 40.2: 0.2/40.2
For 21.8: 0.2/21.8

2. Sum of relative uncertainties:

(0.5/81.5) + (0.2/40.2) + (0.2/21.8)

3. Absolute error:

(0.5/81.5 + 0.2/40.2 + 0.2/21.8) * (81.5 * 40.2 / 21.8)

4. Simplify the expression for absolute error.

5. Percent relative error:

(absolute error / (81.5 * 40.2 / 21.8)) * 100

Evaluate the expressions in steps 2, 3, and 5 to find the correct values for the absolute and percent relative errors.