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How does this work?

How does this work? | GUYS IF 1/3 IS O.33333333... AND 2/3 0.6666666... AND 3/3 IS 1 THEN ISN'T 1/3 PLUS 2/3 IS 0.999999... BUT 3/3? SHARE THIS SO PEOPLE CAN KNOW | image tagged in overthinking | made w/ Imgflip meme maker
974 views 4 upvotes Made by Player64 2 years ago in fun
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2 Comments
2 ups, 2y
Well, there is no way to represent one third in decimal form in a 10-digit number system. Even if 0.333 could trail 3's forever, it wouldn't actually ever become 1/3: it would merely be infinitely approaching 1/3.
In other words, 1/3 doesn't actually equal 0.333... and 2/3 doesn't actually equal 0.666... Those numbers just represent values increasingly close to those exact ratios.
0 ups, 6mo
If you wanted to know, I found this picture explaining it:
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GUYS IF 1/3 IS O.33333333... AND 2/3 0.6666666... AND 3/3 IS 1 THEN ISN'T 1/3 PLUS 2/3 IS 0.999999... BUT 3/3? SHARE THIS SO PEOPLE CAN KNOW