minus-squareYTG123@sopuli.xyztoScience Memes@mander.xyz•I just cited myself.linkfedilinkEnglisharrow-up0·9 months agoSimilarly, 1/3 = 0.3333… So 3 times 1/3 = 0.9999… but also 3/3 = 1 Another nice one: Let x = 0.9999… (multiply both sides by 10) 10x = 9.99999… (substitute 0.9999… = x) 10x = 9 + x (subtract x from both sides) 9x = 9 (divide both sides by 9) x = 1 linkfedilink
Similarly, 1/3 = 0.3333…
So 3 times 1/3 = 0.9999… but also 3/3 = 1
Another nice one:
Let x = 0.9999… (multiply both sides by 10)
10x = 9.99999… (substitute 0.9999… = x)
10x = 9 + x (subtract x from both sides)
9x = 9 (divide both sides by 9)
x = 1