1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# If x=0.¯18, which of the following statements are true? (i) 100x=18.¯18 (ii) 100x−x=17.¯18 (iii) 99x=18

A

(i) and (ii)

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

(i) only

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

(i) and (iii)

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

(ii) only

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

## The correct option is C (i) and (iii) The simplest way of representing a simple fraction is by eliminating the recurring decimal. This can be done by a multiplying factor which can be 10 or 100 or any other number depending on the number of recurring digits. x=0.¯18 ....(I) 100x=18.¯18 (multiplied by 100 because there are only two repeating digits) ….(II) Subtracting (I) from (II), 99x=18 Hence, the correct combinations are (i) and (iii).

Suggest Corrections
2
Join BYJU'S Learning Program
Related Videos
Introduction to Number Systems
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program