Question

Express0.99999 in the form P upon q are you astonished at your answer ? with your classmates and teacher discuss why the answer makes sense​

Answer 1

Answer is 1/1 yes it is surprising

Answer 2

$x = 0.999 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ---(1) \\ 10x = 9.999\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ---(2)$

Subtracting equation (1) from equation (2), we get,

$10x - x = 9.99 - 0.99 \\ 9x = 9 \\ x = \frac{9}{9} = 1$

Hence,

$0.999 \: \: is \: \: equivalent \: \: to \: \: 1 \: \: as \: \: if \\ 0.999 \: \: when \: \: rounded \: \: off \: \: to \: \: 10's \\ then \: \: it \: \: would \: \: be \: 1$