Look at several examples of rational numbers in the form (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Open in App

Solution

Terminating decimal expansion will occur when denominator q of rational number is either of 2, 4, 5, 8, 10, and so on…

It can be observed that terminating decimal may be obtained in the situation where prime factorisation of the denominator of the given fractions has the power of 2 only or 5 only or both.

Suggest Corrections

Similar questions

Q. Look at several examples of rational numbers in the form

\frac{p}{q} (q \neq 0)

, where

p

and

q

are integers with no common factors other than

1

and having terminating decimal representaions (expansions). Can you guess what property

q

must satisfy?

Look at several examples of rational numbers in the form $\frac{p}{q} (q \neq 0)$ where $p$ and $q$ are integers with no common factors other than $1$ and having terminating decimal representations (expansions). Can you guess what property $q$ must satisfy?

Look at several examples of rational number in the form $\frac{p}{q}$ $(q \neq 0)$ , where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy ?

Q. Look at several examples of rational numbers in the form

\frac{p}{q} (q \neq 0),

where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?

If $\frac{p}{q}$ is a rational number with terminating decimal expansion where $p$ and $q$ are coprimes, then $q$ can be represented as:
(Here, n and m are non-negative integers.)

Join BYJU'S Learning Program