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27 answers

1/3 = 0.3333333333333

1/3(3) = 1
0.3333333333333(3) = 0.999999999999999999

Therefore, 0.99999999999 = 1
So 3/3 is equal to 0.9999999999999

2007-03-31 15:33:24 · answer #1 · answered by AoPS-er 3 · 4 1

It does. Infinite many nines. And this is equals to 1

And 1/3 = 0.333333333..., and 2/3 = 0.666666666 ...

Ana

EDIT

2/3 is not equals to 0.6666666666667. This is only a numerical approximation

2007-03-31 16:56:29 · answer #2 · answered by MathTutor 6 · 0 0

It's true. Any number divided by itself is 1. Really, 1/3 is not .33333333, it'd have an infinite number of 3's. You can't put 1/3 into an exact decimal, same with 2/3. Only 3/3, which is 1.

2007-03-31 15:40:26 · answer #3 · answered by Mike J. 2 · 0 0

1/3 actually equals 0.3 bar, the 3's continue forever. Same for the 6's in 2/3. 3/3 is simplified to 1, or 1.0 followed by infinite zeroes.

2007-03-31 15:32:34 · answer #4 · answered by ohaqqi 2 · 0 0

Because 2/3 = 0.666666667 not 0.666666666.

The last digit has to be rounded up to 7 since the real number go infinitely on with 6's. Then when you add 0.333333333 to it, you get 1.000000000.

2007-03-31 15:34:42 · answer #5 · answered by idiot detector 6 · 0 3

Because 1/3 doesn't equal 0.333333333 and 2/3 doesn't equal 0.666666666.

2007-03-31 15:32:19 · answer #6 · answered by Anonymous · 3 2

2/3 = 0.6666666666667

So 3/3 = 1

2007-03-31 15:36:10 · answer #7 · answered by chrisviolet4011 4 · 0 2

it is but 3/3 is also 1 whole

2007-03-31 15:59:31 · answer #8 · answered by njpoolgirl 2 · 0 0

because 1/3 does not equal 0.333, it is a non terminating decimal. Same with 2/3.

2007-04-01 04:42:50 · answer #9 · answered by leo 6 · 0 0

b/c 3/3 =1

there are 3 peices to complete the whole circle of 3

its always if the same # is on top and bottom it equals one

2007-03-31 15:32:50 · answer #10 · answered by sarah w 2 · 0 0

It does. And 0.9999999... (forever) is equal to 1

check:
1 ?=? 0.999999999....
multiply both sides by 10
10 ?=? 9.9999999.....

subtract the first equation from the second:

9 ?=? 9
TRUE.

Therefore, our original equation was true.
1 is equal to 0.99999999....(forever)

2007-03-31 15:34:48 · answer #11 · answered by Raymond 7 · 2 0

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