Question

Prove .99999999999999999999999999999999999999999999999999999 equals 1.

Answer 1

that is false.....the number mentioned above ROUNDS UP to 1....meaning it is closer to one than it is to 0 :)

Answer 2

Good job! Now try .9 repeating!

Answer 3

its the exact same explanation thou stubborn being

Answer 4

If you mean 0.999... (i.e. 9's repeating for ever) then this can be proved

Answer 5

Go fir it!

Answer 6

is this a challenge or are you looking for help in trying to prove it?

Answer 7

I want to prove it.

Answer 8

ok, start by setting:\[x=0.999..\]Then see what happens if you multiply both sides by 10

Answer 9

10x=0.999(10)

Answer 10

or 9.999999999---

Answer 11

10=9.99999999 on and on

Answer 12

correct - and now notice that 9.99... can be written as 9 + 0.999...

Answer 13

right

Answer 14

and what is 0.999.... (look at how we started the proof)

Answer 15

you mean =x?

Answer 16

perfect!

Answer 17

so you end up with:

x = 0.999...
10x = 9.999... = 9 + 0.999... = 9 + x

Answer 18

ohhhhh. Thanks!!!

Answer 19

yw :)

Answer 20

how about x=0.9999...
10x= 9.9999...
10x-x = 9
9x=9
x=1

Answer 21

thats basically exactly what we have done :)

Answer 22

yes, just wanted it all in one post for other readers