things which are equal to the same thing are equalto one another

Asked by xyzzyspoon | 3rd Oct, 2009, 02:03: PM

Expert Answer:

Euclids argument is correct since .99999.......and 1 are actually same

Lets prove it by converting .9999999999......................to its equivalent p/q form

Let x = .9999999..., and then multiply both sides by 10, so you get 10x = 9.9999999... because multiplying by 10 just moves the decimal point to the right.  Then stack those two equations and subtract them

So we get 10x = 9.9999999...........

                      x=9999999...........
-------------------------------------------------------------
9x=9
or x=1

We hope this clarifies your doubt.

Regards

Team Topperlearning

Answered by  | 5th Oct, 2009, 11:58: AM

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