Visualize the representation of $2.6\overline{4}$ on the number line up to $5$ decimal places,that is,up to $2.64444$.

(N/A) To visualize $2.64444$ on the number line,we use the process of successive magnification:
$1$. Since $2.64444$ lies between $2$ and $3$,we divide the distance between $2$ and $3$ into $10$ equal parts and locate $2.6$ and $2.7$.
$2$. Now,$2.64444$ lies between $2.6$ and $2.7$. We magnify this region and divide it into $10$ equal parts to locate $2.64$ and $2.65$.
$3$. Next,$2.64444$ lies between $2.64$ and $2.65$. We magnify this region and divide it into $10$ equal parts to locate $2.644$ and $2.645$.
$4$. Continuing this process,$2.64444$ lies between $2.644$ and $2.645$. We magnify this region to locate $2.6444$ and $2.6445$.
$5$. Finally,we magnify the region between $2.6444$ and $2.6445$ to locate the point $2.64444$ on the number line.