wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of the following options represents terminating decimals?

A
29
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
111
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
154
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 154
A terminating decimal is a decimal number that has a finite number of decimals.

A fraction is a terminating decimal if the prime factors of the denominator in its lowest form contain only 2s or 5s or both 2s and 5s or no prime factors at all.

In fraction 29, 9 is the denominator which don't have prime factors 2 or 5, so 29 is not a terminating decimal

In fraction 111, 11 is the denominator whose prime factors are neither 2 nor 5 , so 111 is not a terminating decimal

In fraction 16, 6 is the denominator whose prime factors are 2 and 3 but for a fraction to be a terminating decimal, it's denominator should have Only 2s or 5s or both as prime factors So, 16 is not a terminating decimal

In fraction 154, 4 is the denominator whose prime factors are only 2s
154=152×2 = 3.75So, 154 is a terminating decimal

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Identifying Fractions to be Terminating or Repeating Decimals
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon