Question

4. Express 0.99999 .... in the form P/Q Are you surprised by your answer? With your
teacher and classmates discuss why the answer makes sense.​

Answer 1

Answer:

Let take

X=0 .9999......

[Multiply both side by 10]

10x=9.999

Now substract 1 from 2

10x-x=9.999-0.999

9x=9

x=9/9

x=1

Answer 2

Answer:

Let x = 0.9999…

There is only one repeating digit so multiply by 10 we get

10x = 9.9999…

x = 0.9999…

subtract x now we get

9x = 9

Divide by 9 we get

x = 9/9 = 1