there is a flaw in thinking that 1/3 is just .333 repeated. repeated decimals cannot fully describe a fraction. just like 1/9 is .111111 etc. u multiply 1/9 by 9 and get 1, but .1111 times 9 is again....999. thas the magic of repeated decimals. Sorry that i cant say it better, or give a tangible proof, but the fact is that the decimal is representation of fraction, and some fractions u cant describe with decimals.

Let me try to see if i can explain it:....

so when u divide 1 by 3.....u get 3 pieces of .333 and 1 piece of .0001.

Now if u try to divide that 1 piece of .0001 into 3 equal pieces and add it to the three previous pieces u created, then u get 3 pieces of .3333 & .00001 left over.

Now u can try to divide that .00001 in 3 pieces over and over again and add it to the initial 3 pieces, but in the enf u will always have some small decimal left over.

so when u make 1/3 into a decimal....we just ignore that small fraction, and if u take that decimal representation of 1/3 and multiply it by 3, and then add that small factor that was ignored...u will get 1.

i hope i conveyed my message, even tho im not pretty good at explaining.

Realistically, it would be finished, except for all the little crums that you wouldnt eat anyways. Your teeth won't be able to cut that small **** in half, so you'd eventually just eat it all.

there is a flaw in thinking that 1/3 is just .333 repeated. repeated decimals cannot fully describe a fraction. just like 1/9 is .111111 etc. u multiply 1/9 by 9 and get 1, but .1111 times 9 is again....999. thas the magic of repeated decimals. Sorry that i cant say it better, or give a tangible proof, but the fact is that the decimal is representation of fraction, and some fractions u cant describe with decimals.

Let me try to see if i can explain it:....

so when u divide 1 by 3.....u get 3 pieces of .333 and 1 piece of .0001.

Now if u try to divide that 1 piece of .0001 into 3 equal pieces and add it to the three previous pieces u created, then u get 3 pieces of .3333 & .00001 left over.

Now u can try to divide that .00001 in 3 pieces over and over again and add it to the initial 3 pieces, but in the enf u will always have some small decimal left over.

so when u make 1/3 into a decimal....we just ignore that small fraction, and if u take that decimal representation of 1/3 and multiply it by 3, and then add that small factor that was ignored...u will get 1.

i hope i conveyed my message, even tho im not pretty good at explaining.

I kind of see what your saying...

But do you know how to divide smaller numbers into bigger ones?

For example 2/5, which gives 0.4....Or 1/3...Which if you work it out yourself, you do start seeing...0.3 repeated...

So 1/3 must equal 0.3 repeat...

So if you divide 1 by 3 you don't get 0.333 like you said...You got 0.3 repeating...

Your right, there would be something left over...
That is IF 0.9 repeating didn't equal 1...

i remember reading abt that in my mechanics book. The explanation to that was that if u decide to split up that variable (such as amount of sandwich remaining or eaten), then u have to split up time in that same proportion, such as first half of sandwich takes u 5 mins, then half of remaining sandwich takes u 2.5 mins, then half of remaining takes u 1.25 mins. If u add up all the time....ull get 9.999999999 mins with sumthing like .00000001 fraction of sandwich remaining. When u let time go to 10 (twice of what it took u to eat the first half), boom, ur done with ur sandwich.

Key is that...if u split up one variable in weird scale, u cant expect time to keep going in the original "real time" scale. Time will follow the same scale u use ( and in this case, never reach 10 mins.)

actually, using the same notation used in the opening of the topic, since the repeating comes after the 0, the zero gets repeated, not the 1. therefore, my answer is right. 0 is repeated to infinity, and then a 1 is tacked on to the end of it.