Fundamental theorem of arithmetic is basically used for ________

proving the irrationality of numbers.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

to explore when exactly the decimal expansion of a rational number is terminating or non-terminating repeating.

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

prime numbers.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

both A and B.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C to explore when exactly the decimal expansion of a rational number is terminating or non-terminating repeating.
Fundamental theorem of arithmetic is basically used for firstly proving the irrationality of numbers and secondly to explore when exactly the decimal expansion of a rational number is terminating and when it is non - terminating repeating.
Therefore, $B$ is the correct answer.

Suggest Corrections

Similar questions

Q. Write whether the rational number 7 /75 will have a terminating decimal expansion or a non terminating repeating decimal expansion

Q. Mark the correct alternative in each of the following:

1. Which one of the following is a correct statement?
(a) Decimal expansion of a rational number is terminating
(b) Decimal expansion of a rational number is non-terminating
(c) Decimal expansion of an irrational number is terminating
(d) Decimal expansion of an irrational number is non-terminating and non-repeating

Q. Decimal expansion of a rational number cannot be
(a) non-terminating
(b) non-terminating and recurring
(c) terminating
(d) non-terminating and non-recurring

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:

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion:
$\frac{13}{3125}$ and $\frac{13}{21}$

Join BYJU'S Learning Program