# Ex.1.4 Q2 Real Numbers Solution - NCERT Maths Class 10

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## Question

Write down the decimal expansions of those rational numbers in Question $$1$$ above which have terminating decimal expansions.

Video Solution
Real Numbers
Ex 1.4 | Question 2

## Text Solution

Steps:

(i) \begin{align}\;\;\frac{13}{3125}=0.00416\end{align}

(ii) \begin{align}\,\,\frac{{17}}{8} = 2.125\end{align}

(iii) \begin{align}\,\frac{{64}}{{455}}\end{align} is non - terminating

(iv) \begin{align}\,\frac{{15}}{{1600}} = 0.009375\end{align}

(v) \begin{align}\frac{{29}}{{343}}\end{align} is non - terminating

(vi) \begin{align}\; \frac{23}{2^{3} \times 5^{2}} &=\frac{23}{200} \\ &=0.115 \end{align}

(vii) \begin{align}\,\frac{129}{{{2}^{2}}\times {{5}^{7}}\times {{7}^{5}}}\end{align} it is non-terminating

(viii)  \begin{align}\frac{6}{{15}} \end{align}

\begin{align}\frac{6}{{15}} &= \frac{{2 \times 3}}{{3 \times 5}}\\&= \frac{2}{5}\\ &= 0.4\end{align}

(ix) \begin{align}\,\frac{{35}}{{50}} = 0.7\end{align}

(x) \begin{align}\,\frac{77}{210}\end{align} it is non-terminating

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