4. Express 0.99999 .......... in the form qp . Are you surprised by your answer? With your teacher and classmates, discuss why the answer makessense.

Let x = 0.99999 .......... ...(1) Multiplying equation (1) by 10 we have 10x = 9.99999 .......... ...(2) Subtracting equation (1) from (2) we have 9x = 9 Hence, x = 1 Yes, we are surprised by our answer. This answer makes sense as 0.9 is much close to 1, i.e. we can make the difference between 1 and 0.9999.....as small as we wish by taking enough 9’s