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1/3 = .33333333

2/3 = .66666666

then this must be true ( add up both sides )

3/3= .999999999

or in other words

1=.999999999

thoughts?

1/3 is .33333 repeating, a third can't add up to a whole number, but we use something called rounding.

1/3 is .33333 repeating, a third can't add up to a whole number, but we use something called rounding.

Yes but still

1=.999999999 repeating

1/3 = .33333333

2/3 = .66666666

then this must be true ( add up both sides )

3/3= .999999999

or in other words

1=.999999999

thoughts?

It makes total sense; it's obvious.

1/3 +2/3 = 3/3 = 1

You have 3 inside a case, which can fit 3 objects/people/things. Perfect match. 100%. NO doubt about it. That's like saying if you divide the distance by half with every step, you will never get there.

Question: Whose paradox was this? That's like saying if you divide the distance by half with every step, you will never get there.

it actually isn't, because what you said is correct (the gap to the target gets infinitesimally small, but it never reaches 0. What the first user posted just isn't true...

Question: Whose paradox was this? My grade 5 teacher, Mr. Fraser, posed that question to us.

Interesting 1/3 = .33333333

2/3 = .66666666

then this must be true ( add up both sides )

3/3= .999999999

or in other words

1=.999999999

thoughts?Edit: just so you know all decimals are repeating

it actually isn't, because what you said is correct (the gap to the target gets infinitesimally small, but it never reaches 0. What the first user posted just isn't true...

Agreed. I missed the obvious, which Avelanch posted while I was typing my reply.

1/3 = .33333333

2/3 = .66666666

then this must be true ( add up both sides )

3/3= .999999999

or in other words

1=.999999999

thoughts?

Pull out your calculator and divide 3/3.

Pull out your calculator and divide 3/3.

Because since .99999999999999 reaches into infinity why not just round up by 1x10^-100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000?