3
$\begingroup$

A nerdy debate with a colleague leads me to ask this question:

To be used correctly, does the vinculum HAVE to only be placed over the shortest sequence of digits that repeat after a decimal?

For example, to indicate 1/3, is it ok to write $0.\overline{33}$ instead of $0.\overline{3}$?

Thank you!

$\endgroup$
  • 3
    $\begingroup$ Does it have to be placed behind the decimal point? $\frac{100}{7} = \overline{14.2857}$? $\endgroup$ – law-of-fives May 8 '17 at 22:51
  • 2
    $\begingroup$ I thought that was just a symptom of mathematicians' and math fans' preference for shorter notation regardless of its impact on clarity. $\endgroup$ – Robert Soupe May 9 '17 at 18:14
1
$\begingroup$

Yes, it is ok to write $$\frac{1}{3}=0.\overline{3}=0.\overline{33}$$

See also e.g. the related example $0.\overline{111}$ in Wolfram's MathWorld. This representation could also be used to enhance readability.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.