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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