Answer :

we proceed by successive magnification, and successively decrease the lengths of the portions of the number line in which 5.37̅ is located. First, we see that 5.37̅ is located between 5 and 6.

In the next step, we locate 5.37̅ between 5.3 and 5.4. To get a more accurate visualisation of the representation, we divide this portion of the number line into ten equal parts.

To visualize 5.37̅ more accurately, we again divide the portion between 5.37 and 5.38 in ten equal parts.

Now to visualize 5.37̅ still more accurately, we divide the portion between 5.377 and 5.378 into ten equal parts, and visualize the representation of 5.37̅ as in the fig. Notice that 5.37̅ is located closer to 5.3778 than to 5.3777.

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