4MA0 Higher January 2014 Paper 4 Q20
20 Show that the recurring decimal \(\;0.0\dot{1}\dot{5} = \dfrac{1}{66}\)
(2)
| Scheme | Marks |
|---|---|
| (\(x\) =) 0.01515.. and (100\(x\) =) 1.515... \(99x = 1.5\) | M1 |
| 15/990 oe Answer: 1/ 66 * | A1 |
| (2) | |
| (2 marks) |
Notes
M1: or \(10x\) = 0.1515..and \(1000x\) = 15.1515.. selected
A1: but not 1/66 Numerator and denominator have to be integers.
* Answer given
The mark scheme states that for this question the correct answer alone does not imply a correct method.