Are my calculations below about 3-digit chopping, 3-digit rounding, and relative errors correct?
given 4/5 * 1/3:
Exact value: 0.2666666666666667
3-digit chopping: 0.266, its relative error: 0.0025
3-digit rounding: 0.266, its relative error: 0.0025For another example, (1/3 - 3/11) + 3/20:
Exact value: 0.2106060606060606
3-digit chopping: 0.210, its relative error: 0.0029
3-digit rounding: 0.211, its relative error: 0.0023rd example, (1/3 + 3/11) - 3/20:
Exact value: 0.4560606060606061
3-digit chopping: 0.456, its relative error: 0.000133
3-digit rounding: 0.456, its relative error: 0.00233