Question

3. Without actual division, determine which of the following can be represented as terminating or non-terminating repeating decimals.

(b)$\frac{\mathbf{7}}{\mathbf{24}}$

Answer 1

Step 1:

For terminating decimals the prime factors of the denominators must not be other than $2$ or $5$ and For non-terminating decimals it can be other than $2$ or $5$.

We have to check the prime factors of the denominators, i.e. $24$

$24=2\times 2\times 2\times 3$

So clearly we can see that the denominators have prime factors other than $2$ or $5$,

So this is a non-terminating decimal.

Answer : Non-Terminating Decimal