I would like to ask those that have done a bit on computational Maths.
I thought I understood it but my lecture notes gives another example and i don't get it:
actual value = 23.496 and estimate = 23.494
The the error is |actual - estimate|= 0.002.
The actual value has four significant digits with respect to actual value , since the error is less
than 5 in the fifth place to the right of the first nonzero digit in actual . Note that if estimate
is rounded to four places, an additional error is introduced and estimate will no longer have four significant digits.
What does even this mean? I don't get it. Please someone explain for me.
This is his definition:
In place of relative error, we often use the concept of significant digits. we say estimate has m
significant (decimal) digits with respect to actual if the error (actual - estimate) has magnitude less
than or equal to 5 in the (m+1)st digit of actual , counting to the right from the first nonzero
digit in actual .
Does it help?