WHEN 0.997^6 WAS COMPUTED BY A STUDENT, HIS RESULT WAS 0.9817. FIND THE PERCENTAGE ERROR, CORRECT TO THREE DECIMAL PLACES

4 answers

AB stop talking in caps, it seems like you're yelling at people.
0.997^6 = 0.9821
error: 0.0004
% error: 0.0004/.9821 = 0.0004073 = 0.04%
0.0004/0.9824
=0.004%
No, that's not correct.

0.997^6 is approximately equal to 0.9821 (rounded to four decimal places).

The absolute error is:

|0.9817 - 0.9821| = 0.0004

The relative error is:

0.0004 / 0.9821 = 0.00040728

We convert the relative error to a percentage by multiplying it by 100:

0.00040728 x 100% = 0.040728%

Rounded to three decimal places, the percentage error is approximately 0.041%.