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
A number havi...
Question
A number having non-terminating and recurring decimal expansion is _____
A
An integer
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
A rational number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
An irrational number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
A whole number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
A rational number
A number having non-terminating and recurring decimal expansion is a Rational Number
For example,
2
7
is a rational number
2
7
=
0.285714285714285714..........
or
2
7
=
0.
¯
¯¯¯¯¯¯¯¯¯¯¯¯¯¯
¯
285714
The number has non-terminating decimal expansion but recurring after every 6 digits after decimal.
So, option
B
is correct.
Suggest Corrections
0
Similar questions
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