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 ?

Open in App

Solution

The property is if the denominators have factors 2 or 5 or both, the decimal representation will be terminating

E.g.

$\frac{1}{2}$ = 0.5, $\frac{1}{4}$ = 0.25, $\frac{1}{5}$ = 0.2,

$\frac{1}{10}$ = 0.1, $\frac{1}{20}$ = 0.5, $\frac{3}{8}$ = 0.125,

$\frac{3}{40}$ = 0.075 etc.

Suggest Corrections

Similar questions

Q. 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?

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?

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?

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?

Join BYJU'S Learning Program

Look at several examples of rational number in the form pq (q≠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 ?

The property is if the denominators have factors 2 or 5 or both, the decimal representation will be terminating E.g. 12 = 0.5, 14 = 0.25, 15 = 0.2, 110 = 0.1, 120 = 0.5, 38 = 0.125, 340 = 0.075 etc.

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 ?

The property is if the denominators have factors 2 or 5 or both, the decimal representation will be terminating

E.g.

$\frac{1}{2}$ = 0.5, $\frac{1}{4}$ = 0.25, $\frac{1}{5}$ = 0.2,

$\frac{1}{10}$ = 0.1, $\frac{1}{20}$ = 0.5, $\frac{3}{8}$ = 0.125,

$\frac{3}{40}$ = 0.075 etc.