Prove algebraically that 0.256565656... can be written as 127/495
Let x = 0.2565656...Then 10x = 2.565656.... and 1000x = 256.565656...So 1000x - 10x = 256.565656... - 2.565656... = 254990x = 254 x = 254/990 = 127/495
OT
Related Maths GCSE answers
All answers ▸f(x)=3x+c g(x)=cx+8 fg(x)=6x+d Work out c and d.
Samuel had 3 piles of coins, I, II and III. Altogether there was 72p. Pile II had twice as much as pile I. Pile III had three times as much as pile II. How much money was in Pile III?
The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.
Solve simultaneous equations x + y = 3 and -3x + 5y = 7