Compute 29 times 97 using three digit rounding arithmetic an

Compute (2/9) times (9/7) using three digit rounding arithmetic, and find absolute error and relative error.

Solution

(2/9)(9/7)

0.222 * 1.286

0.285

Actual value =(2/9)(9/7) = 2/7 = 0.2857 --> 0.286

Absolute error = |0.285 - 0.286| = 0.001

Relative error in relation to the more exact value= |0.285 - 0.286| / 0.286 = 0.0034965