CBSE BoardEnglish MediumSTD 10MathsReal Numbers2 Marks
Question
Write down the decimal expansion of $\frac{76}{6250}$, without actual division.
✓
Answer
$\frac{76}{6250}=\frac{76}{5^5 \times 2}$Here,
$\frac{76}{6250}$ is in the form of $\frac{ p }{ q }$ and $q$ is in the form of $2^n 5^m$ where $n$ and $m$ are non $-$ negative integers.
Hence $\frac{76}{6250}$ has terminating decimal expression.
Now,
$\frac{76}{6250}=\frac{76}{5^5 \times 2}=\frac{76 \times 2^4}{5^5 \times 2 \times 2^4}=\frac{76 \times 16}{10^5}=\frac{1216}{100000}$
$=0.01216$
Thus the decimal expansion of $\frac{76}{6250}$ is $0.01216 .$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.