Question

Without actually dividing, state whether 15/1600 has a terminating decimal or not If it is terminating, then find its decimal expansion.

Answer 1

Hey friend here is your answer

Please refer the attachment

Answer 2

We must recall that:

A terminating decimal is a decimal, that has an end digit. It is a decimal, which has a finite number of digits(or terms).

Example: 0.15, 0.86, etc.

Non-terminating decimals are the one that does not have an end term. It has an infinite number of terms.

Example: 0.5444444….., 0.1111111….., etc.

Given:

$\frac{15}{1600}$

$\rightarrow 0.009375$

Hence $\frac{15}{1600}$ is a terminating decimal.