Why do we need only 2s and 5s in rational forms of terminating decimals? | Real numbers | Math

In the previous video (https://youtu.be/_1NPHxCQT3Q) we saw how we can find whether the decimal expansion of any given rational number is terminating or non-terminating and recurring (repeating) without actual division. In this video, let's see why do we need 2s and 5s to check whether the decimal expansion of the given rational number is terminating or non-terminating and recurring.

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Created by Anmol.