# Thread: three digit rounding query

1. ## three digit rounding query

If we have to do three digit rounding of

0.266666666667

then as per my understand answer should be

0.267

but book says 0.266

Why?

2. ## Re: three digit rounding query

Because the computer that they use to display the answers that they then print out has only truncated the number instead of rounding it. Your answer is correct.

3. ## Re: three digit rounding query

Ok thanks Prove it

If i have to round of 271.426874343 to three digits. then should i round off

271.426874343

or i should rounud off like this
0.271426874343 x 10(raise to power 3) book has followed this method

4. ## Re: three digit rounding query

Originally Posted by moonnightingale
Ok thanks Prove it

If i have to round of 271.426874343 to three digits. then should i round off

271.426874343

or i should rounud off like this
0.271426874343 x 10(raise to power 3) book has followed this method
Rounding to 3 digits is 271 (round down because the next digit is a 4) whereas rounding to 3 decimal places is 271.427 (round up because the next digit is 8)
Which do you mean?

Whether you have it as $\displaystyle 271.427 \text{ or } 0.271427 \cdot 10^3$ is up to you since they're both equivalent.

5. ## Re: three digit rounding query

What exactly is the statement of the problem? If the problem said "round to three decimal places" then what you have is correct. But if it just said "round to three digits", then the correct answer is just "271". Those are also "three digits".

6. ## Re: three digit rounding query

The book says three digit rounding arithmatic
and my value is 271.5093