Question

Visualise $4.\overline{67}$ on the number line, upto 4 decimal places.

Answer 1

Step 1: Upto $4$ decimal places, $4.\overline{67}=4.6767...$
$4<4.6767<5$
Step 2: Divide the gap between $4and5$ on the number line into $10$ equal parts.
Now, $4.6<4.6767<4.7$
Step 3: In order to locate the point $4.6767$ on the number line, divide the gap between $4.6\mathrm{and}4.7\mathrm{into}10$ equal parts.
Further, $4.67<4.6767<4.68$
Step 4: To locate the point $4.6767$ on the number line, again divide the gap between $4.67\mathrm{and}4.68\mathrm{into}10$ equal parts.
Again, $4.676<4.6767<4.677$
Step 5: To locate the point $4.6767$ on the number line, again divide the gap between $4.676\mathrm{and}4.677\mathrm{into}10$ equal parts.
Step 6: The number $4.6767$ can be located on the number line. This can be shown as follows: