1/3 = .333 . . . the repeating decimal of 3's
Now the the repeating decimal of 9's, .999 . . . there exists a disagreement as to whether it is equal to 1 or not.
Repeating decimal of 9's and 1.
Discussion in 'Other Discussions' started by 37818, Sep 14, 2021.
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I vote no (it is not equal to 1, but would be treated as if it were).
That said, I believe mathematically it is equal to 1. 1/3 × 3 = 1....so .33333 x .33333 has to equal 1.
But philosophically it is just shy. :Biggrin -
The issue is not that it is ok to disregard the insignificant but on what constitutes insignificance. Lots of people present numbers as three significant figures and an exponent to locate the decimal either in front of or behind the figures. Thus .999 would be 9.99 x 10 to the minus 1.
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Not according to my calculator... maybe closer to .11 (when you multiply with a number less than one, you reduce the amount...)
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How about - "it depends"
What is :
Task
Conditions
Standards -
Yea. I meant 1/3 x 3 and .3333 x 3.
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You math nerds are getting out of control.
Next, you will go in a tangent, trying to discern the “sins” and “cosins” of the times.
peace to you -
There is tbe deference between the approximation of 1/3 and the infinite repeating decimal of .333 . . . .
The disagreement is over the interpertation of the infinite repeating decimal of .999 . . . . It being equal to 1 or always an infinitesimal smaller than 1, where the infinitesimal greater than zero. -
What is the decimal form of 1/3 (1 divided by 3)?
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.111 . . . or 1/9 as a fraction. (1/3)/3.
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I mean what is the decimal form of 1/3?
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1/9 = .111 . . .
2/9 = .222 . . .
3/9 = 1/3 = .333 . . .
4/9 = .444 . . .
5/9 = .555 . . .
6/9 = 2/3 = .666 . . .
7/9 = .777 . . .
8/9 = .888 . . .
9/9 = 1 = .999 . . . -
.333333333333333333 . . . etc.
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Yep. 1/3 (which can be written 1÷3) = .3333.....
What is .3333.... x 3?
If A/B=C then A=BC.
.999..... has to = 1 -
RighteousnessTemperance& Well-Known Member
Not arguing for the final value, but there is a succinct mathematical way to represent repeating decimals. Use a vinculum or overbar. Then, 1/3 would be 0.3 with a bar (vinculum) over the 3 to indicate it repeats infinitely. For thrice that, it would be 0.9 with a bar over the 9 to indicate the 9 repeats infinitely. I’d show it outright, but don’t know how here. And besides, everyone probably already knows this. :Wink