x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99

r=0.0.x.

r=0.0x0x0x0x....

100r=x.0x0x0x     (1)

10,000r=x0x.0x0x0x      (2)

(2) - (1):  9,900r=x00

r=x00/9,990        r=x/99

EE
Answered by Ellie E. Maths tutor

12163 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Gavin, Harry and Isabel each earn the same salary. Gavin saves 28% of his salary. Harry spends 3/4 of his salary and saves the rest. The amount Isabel saves:The amount she spends=3:7. Who saves the most?


Make x the subject 2x+3=3x-1


Maths A-level Question, Rates of change involving a cylindrical vessel.


The perimeter of a right-angled triangle is 60 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Calculate the area of the triangle.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences