Thursday 14 April 2011

some maths 1 = 0.999

 \begin{align}  \frac{1}{9}           & = 0.111\dots  \\  9 \times \frac{1}{9}  & = 9 \times 0.111\dots \\  1                     & = 0.999\dots \end{align}




 \begin{align} x           &= 0.999\ldots \\ 10 x       &= 9.999\ldots \\ 10 x - x    &= 9.999\ldots - 0.999\ldots \\ 9 x         &= 9 \\ x           &= 1 \end{align}


This has been blowing my tiny mind recently. 1 can be the same as 0.999. Bloody maths

toodle pip

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