x = 0.045 (45 recurring). Prove algebraically that x can be written as 1/22
x=0.045 (45 recurring)
10x = 0.45 (45 recurring)
100x = 4.54 (54 recurring)
1000x = 45.45 (45 recurring)
To get rid of the decimals:
1000x-10x = 45.45 - 0.45
990x = 45
x = 45/990
x = 9/198 (simplify by dividing by 5)
x = 1/22 (simplify by dividing 9)
JT
Related Maths GCSE answers
All answers ▸How do you simplify expressions involving different powers?
Solve these simultaneous equations. 5x + 2y = 20 and x + 4y = 13.
Solve these simultaneous equations: 2x + 3y = 19 and x + 4y = 17.
How do you factorise a quadratic equation into the form (x+A)(x+B), for example x²+x-6 =0?