संख्या रेखा पर $5$ दशमलव स्थानों तक, अर्थात् $5.37777$ तक $5.3 \overline{7}$ का निरूपण देखिए।

Once again we proceed by successive magnification, and successively decrease the lengths of the portions of the number line in which $5.3 \overline{7}$ is located. First, we see that $5.3 \overline{7}$ is located between $5$ and $6 .$ In the next step, we locate $5.3 \overline{7}$ between $5.3$ and $5.4 .$ To get a more accurate visualization of the representation, we divide this portion of the number line into $10$ equal parts and use a magnifying glass to visualize that $5.3 \overline{7}$ lies between $5.3 \overline{7}$ and $5.38 .$ To visualize $5.3 \overline{7}$ more accurately, we again divide the portion between $5.3 \overline{7}$ and 5.38 into ten equal parts and use a magnifying glass to visualize that $5.3 \overline{7}$ lies between $5.377$ and $5.378 .$ Now to visualize $5.3 \overline{7}$ still more accurately, we divide the portion between $5.377 $ an $5.378$ into $10$ equal parts, and visualize the representation of $5.3 \overline{7}$ as in Fig. $(iv)$. Notice that $5.3 \overline{7}$ is located closer to $5.3778$ than to $5.3777$ [see Fig $(iv)$].