Visualise $3.765$ on the number line, using successive magnification.
Visualise $3.765$ on the number line, using successive magnification.
$3.765$ lies between $3$ and $4 .$
Let us divide the interval $(3,\,4)$ into $10$ equal parts.
since, $3.765$ lies between $3.7$ and $3.8 .$ We again magnify the interval $[3.7,\,3.8]$ by dividing it further into $10$ parts and concentrate the distance between $3.76$ and $3.77 .$
The number $3.765$ lies between $3.76$ and $3.77 .$ Therefore we further magnify the interval $[3.76,\,3.77]$ into $10$ equal parts.
Now, the point corresponding to $3.765$ is clearly located, as shown in Fig. $(iii)$ above.
Similar Questions
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Find :
$(i)$ $9^{\frac{3}{2}}$
$(ii)$ $32^{\frac{2}{5}}$
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$(ii)$ $32^{\frac{2}{5}}$
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