Higher November 2019 Paper 1 Q15
15 Express \(0.4\dot{1}\dot{8}\) as a fraction.
You must show all your working. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{414}{990}\) | M1 | for (\(x =\)) 0.41818… or (\(10x =\)) \(4.\dot{1}\dot{8}\) or 4.1818… or (\(100x =\)) \(41.\dot{8}\dot{1}\) or 41.818… or (\(1000x =\)) \(418.\dot{1}\dot{8}\) or 418.18… |
| M1 | for using two recurring decimals with a terminating decimal difference, eg. (\(1000x - 10x =\)) \(418.\dot{1}\dot{8} - 4.\dot{1}\dot{8}\) or \(418.18\ldots - 4.1818\ldots\ (= 414)\) | |
| A1 | for \(\dfrac{414}{990}\) oe, eg \(\dfrac{23}{55}\) |
Additional guidance
Accept
(\(100x - x =\)) \(41.\dot{8}\dot{1} - 0.4\dot{1}\dot{8}\)
or \(41.818\ldots - 0.41818\ldots\ (= 41.4)\)
\(\dfrac{41.4}{99}\) must be simplified to gain the accuracy mark