Select Board & Class

Login

Real Numbers

Question 1:

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

Answer:

(i)

The denominator is of the form 5m.

Hence, the decimal expansion ofis terminating.

(ii)

The denominator is of the form 2m.

Hence, the decimal expansion of is terminating.

(iii)

455 = 5 × 7 × 13

Since the denominator is not in the form 2m × 5n, and it also contains 7 and 13 as its factors, its decimal expansion will be non-terminating repeating.

(iv)

1600 = 26 ×...

To view the solution to this question please

What are you looking for?

Syllabus