At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Good job! Now try .9 repeating!

its the exact same explanation thou stubborn being

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

Go fir it!

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

I want to prove it.

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

10x=0.999(10)

or 9.999999999---

10=9.99999999 on and on

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

right

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

you mean =x?

perfect!

so you end up with:
x = 0.999...
10x = 9.999... = 9 + 0.999... = 9 + x

ohhhhh. Thanks!!!

yw :)

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

thats basically exactly what we have done :)

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