Gender: Female
Member Since: June 12, 2004
Answers: 8
Last Update: June 12, 2004
Visitors: 1120
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Does .9 infinitely repeating equal 1? At first glance, one might say, "Of course not!", but hear me out. I asked my genius math teacher the same question, and he though about it, then wrote a long equation apparently proving that they were the same number. I have since then forgotten the equation, therefore, forgotten how he arrived at his conclusion. A fellow classmate said he would argue to the death that they were not, but his opinion changed upon reading the teacher's equation. My way of thinking it is this: If 3 x 1/3=1, and 1/3= .3 infinitely repeating, then .3 infinitely repeating should equal 1. But if do the multiplication, each individual 3 would become a 9, so the answer is also .9 infinitely repeating. So 1/3 x 3= 1= .3 infinitely repeating x 3= .9 infinitely repeating. So 1= .9 infinitely repeating. But to say that two different numbers, excluding fractions, etc, can equal the samething doesn't seem right. So, are they or are they not equal? (link)
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Yes, if you have .99999 infinitely repeating, it is equal to 1. (In fractions you could say that it's 9/9. 1/9 = .11111 infinitely repeating, 3/9 or 1/3 = .33333 infinitely repeating, and so on.)
That's the thing about infinity: it does wacky things to numbers ^_^
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Rating: 5
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Thanks, you're the only one so far that agrees.
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