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Just a nonsensical calculation?
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<blockquote data-quote="Lucifer666" data-source="post: 4228786" data-attributes="member: 278043"><p><span style="font-size: 15px">Hey guys.</span></p><p></p><p><span style="font-size: 15px"><span style="color: #333333"><span style="font-family: 'arial'">I was bored and I just started fiddling around with my scientific calculator for fun.</span></span></span></p><p></p><p><span style="font-size: 15px">I wrote down the equation:</span></p><p>x + 1 = x</p><p>And made it solve for x.</p><p></p><p>Now, I was expecting it to say x = ∞ (infinity), since ∞ + 1 = ∞</p><p>But instead, it gave out a *very* strange answer.</p><p>x = 1.667988098 * 10^13</p><p>Which, when written normally, is 16,679,880,980,000.</p><p>That's pretty messed up, because I'm pretty sure 16,679,880,980,000 + 1 = 16,679,880,980,001</p><p></p><p>How does this work? This is just an error, right? There is no way this corresponds to the rules of mathematics.</p><p></p><p>I think that maybe since all scientific calculators give answers to 10 significant figures, (and if the number has more than 10 digits then it is written in standard form/scientific notation), then maybe adding 1 won't affect the answer that shows up on the screen, when the actual value, however, has increased by 1.</p><p></p><p>I still find it intriguing that it chooses these exact numbers, even if I make it solve for x over and over again. It doesn't make sense!</p><p></p><p>What do you guys think?</p><p></p><p>It got a bit weirder afterwards. I grabbed my brother's calculator and input the *exact* same equation and made it solve for x.</p><p>It returned: x = 2</p><p>How does that make sense at all? 3 =/= 2 !</p></blockquote><p></p>
[QUOTE="Lucifer666, post: 4228786, member: 278043"] [size=4]Hey guys.[/size] [size=4][color=#333333][font=arial]I was bored and I just started fiddling around with my scientific calculator for fun.[/font][/color][/size] [size=4]I wrote down the equation:[/size] x + 1 = x And made it solve for x. Now, I was expecting it to say x = ∞ (infinity), since ∞ + 1 = ∞ But instead, it gave out a *very* strange answer. x = 1.667988098 * 10^13 Which, when written normally, is 16,679,880,980,000. That's pretty messed up, because I'm pretty sure 16,679,880,980,000 + 1 = 16,679,880,980,001 How does this work? This is just an error, right? There is no way this corresponds to the rules of mathematics. I think that maybe since all scientific calculators give answers to 10 significant figures, (and if the number has more than 10 digits then it is written in standard form/scientific notation), then maybe adding 1 won't affect the answer that shows up on the screen, when the actual value, however, has increased by 1. I still find it intriguing that it chooses these exact numbers, even if I make it solve for x over and over again. It doesn't make sense! What do you guys think? It got a bit weirder afterwards. I grabbed my brother's calculator and input the *exact* same equation and made it solve for x. It returned: x = 2 How does that make sense at all? 3 =/= 2 ! [/QUOTE]
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