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(0.999.. with the digits going on forever)
is actually equal to 1
(Here we write 0.999.. Omnifocus mac. as notation for 0.9 recurring, some people put a little dot above the 9, or a line on top like this: 0.9)
Does 0.999.. = 1 ?
Let us start by having X = 0.999..
X = 0.999..
10X = 9.999..
Subtract X from each side to give us:
9X = 9.999.. − X
Pikka 1 9 2 0 Movie
but we know that X is 0.999.., so:
9X = 9.999.. − 0.999..
9X = 9
Pikka 1 9 2 0 Download
Divide both sides by 9:
X = 1
Does 0.999.. = 1 ?
Let us start by having X = 0.999..
X = 0.999..
10X = 9.999..
Subtract X from each side to give us:
9X = 9.999.. − X
Pikka 1 9 2 0 Movie
but we know that X is 0.999.., so:
9X = 9.999.. − 0.999..
9X = 9
Pikka 1 9 2 0 Download
Divide both sides by 9:
X = 1
But hang on a moment I thought we said X was equal to 0.999.. ?
Yes, it does, but from our calculations X is also equal to 1, so:
X = 0.999.. = 1
And so:
0.999.. = 1
Pikka 1 9 2 0 Online
Earth 3d. Does anyone disagree with this? Let me know on the Math is Fun Forum.
