1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Decimal Expansion of Rational and Irrational Numbers
If a number h...
Question
If a number has a non-terminating and non-recurring decimal expansion, then it is:
A
a rational number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a natural number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
an irrational number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
an integer
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
an irrational number
A number having non-terminating and non-recurring decimal expansion is an Irrational Number.
For example,
π
is an irrational number
and
π
=
3.1415926535897932384626433832............
Here, the number has non-terminating decimal expansion which is non-recurring.
Hence, option
C
is correct.
Suggest Corrections
0
Similar questions
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
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