About rounding off for significant figures

  • Thread starter Thread starter shortydeb
  • Start date Start date
  • Tags Tags
    Significant figures
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 3K views
shortydeb
Messages
29
Reaction score
1
Let's say I want to round the number 3.549 off to two significant figures. Do I have to round the 4 to 5 first, or do I just round the 5 (in the one-tenths place) to 5, since the one-hundreths digit is 4? If I do it by the first method, it would be 3.6, while the 2nd method gives 3.5. Which is right?

Thanks.
 
Physics news on Phys.org
It should be 3.5. You look at the digit which is one-tenth the value of the previous one on the left. The significant values should be the digits in the largest tens/tenth places, and then you round up/down the digit which are next to it.