Write the following in decimal form and state what kind of decimal expansion each has:
$(i)$ $\frac{36}{100}$
$(ii)$ $\frac{1}{11}$
$(iii)$ $4 \frac{1}{8}$
$(iv)$ $\frac{3}{13}$
$(v)$ $\frac{2}{11}$
$(vi)$ $\frac{329}{400}$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $(i)$ $\frac{36}{100} = 0.36$. This is a terminating decimal expansion.
$(ii)$ $\frac{1}{11} = 0.090909 \ldots = 0.\overline{09}$. This is a non-terminating repeating decimal expansion.
$(iii)$ $4 \frac{1}{8} = \frac{33}{8} = 4.125$. This is a terminating decimal expansion.
$(iv)$ $\frac{3}{13} = 0.230769230769 \ldots = 0.\overline{230769}$. This is a non-terminating repeating decimal expansion.
$(v)$ $\frac{2}{11} = 0.18181818 \ldots = 0.\overline{18}$. This is a non-terminating repeating decimal expansion.
$(vi)$ $\frac{329}{400} = 0.8225$. This is a terminating decimal expansion.

Explore More

Similar Questions

Represent $\sqrt{9.3}$ on the number line.

Difficult
View Solution

Find six rational numbers between $3$ and $4$.

Find:
$(i)$ $2^{2/3} \cdot 2^{1/5}$
$(ii)$ $(1/3^3)^7$
$(iii)$ $11^{1/2} / 11^{1/4}$
$(iv)$ $7^{1/2} \cdot 8^{1/2}$

Find:
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
$(iii)$ $16^{\frac{3}{4}}$
$(iv)$ $125^{-\frac{1}{3}}$

Show that $1.272727 \ldots = 1.\overline{27}$ can be expressed in the form $\frac{p}{q}$,where $p$ and $q$ are integers and $q \neq 0$.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo