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      <title>Numberphile Comment by Bruce Ito</title>
      <link>https://padlet.com/bruceito/n4qblq4p17tw</link>
      <description>From the video: https://www.youtube.com/watch?v=w-I6XTVZXww </description>
      <language>en-us</language>
      <pubDate>2016-09-26 20:09:11 UTC</pubDate>
      <lastBuildDate>2025-11-26 01:00:04 UTC</lastBuildDate>
      <webMaster>hello@padlet.com</webMaster>
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         <title></title>
         <author>bruceito</author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126507679</link>
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         <pubDate>2016-09-26 20:11:21 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126507679</guid>
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         <title>URL</title>
         <author>bruceito</author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126507906</link>
         <description><![CDATA[<div><a href="https://goo.gl/O9imCM">https://goo.gl/O9imCM</a></div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:12:28 UTC</pubDate>
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         <title>Benita</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126507931</link>
         <description><![CDATA[<div>Personally, I found this whole equation thing very confusing. I didn't understand why they had to move the bottom row of numbers infront of the top row of numbers. Like when he shifted the numbers when he applied the S2</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:12:41 UTC</pubDate>
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         <title>Ethan</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508153</link>
         <description><![CDATA[<div>I do not agree with this statement (1+2+3+4+5+...=-1/12) because in the video, many liberties were taken that jeopardize the truth of the&nbsp; whole equation. For example, in the first sum (S1), the video says that 1-1+1-1+1-1+1-1…=½. They figure this out by averaging 1 and 0. I do not think that this fair because the sum is never equal to 0.5-- just because it is infinite does not mean that you can average it; therefore, I think this equation must be classified as undefined and the main sum is naturally different. Also, when calculating the second sum (S2), the people in the video conveniently moved the bottom number over a digit into a “nice” place. By doing this they clearly change the outcome and do not compensate for this movement later on. Obviously, these two examples are bits of “mathematical hocus-pocus” that clearly change the outcome of the sum. The only effective point that I think is made in the video is the point that in physics, there are no infinite answers, and that -1/12 comes up quite a lot in different theorems. However, how could a positive plus a positive plus a positive and etc. equal a negative number?</div><div><br></div>]]></description>
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         <pubDate>2016-09-26 20:13:49 UTC</pubDate>
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         <title>I have to disagree as the answer they come up with is an average, and 1+2+3 can never equal to less then the initial positive number that went through addiotion</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508159</link>
         <description><![CDATA[]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:13:51 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508159</guid>
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         <title>Julia</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508169</link>
         <description><![CDATA[<div>Watching this video made me understand the power of math. I thought that it was amazing that equations that involve sequences of number that go on until infinity could be solved with an answer being a rational number. I think I will need a lot more practice at solving equations before I could do anything like that. The man in the video talked about how these equations can apply to physics problems. I am looking forward to learning about how this helps solve real life physics problems.&nbsp;</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:13:52 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508169</guid>
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         <title>Justin I.</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508176</link>
         <description><![CDATA[<div>When I looked at it without breaking it down, I thought,&nbsp;<br>how could all those positive numbers (1+2+3+4…..) Make -1/12? But when he broke it down it made more sense.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:13:54 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508176</guid>
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         <title>Betty</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508189</link>
         <description><![CDATA[<div>&nbsp;I felt that the theory might of been possible, but the answer seemed to be placed together a bit randomly. In the video, the man explains (for example) to move it to the side a bit. That seems a bit peculiar, which leads me to believe that they were purposefully trying to get to the answer of 1/12. I feel that doing the math in a certain way could affect the answer. The infinite topic is already quite complicated, but while watching the video, I thought to myself, “Why would they need to shift it?” It seems to me that they were trying very hard to get an answer that would “blow” the reader/audience’s mind.&nbsp;</div><div><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:13:58 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508189</guid>
      </item>
      <item>
         <title>Ava</title>
         <author>ava_c_macintosh</author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508198</link>
         <description><![CDATA[<div>I don't quite understand and I don't think it can apply to real life? If one day I give you $1, and the next day I give you $2 and so on, unless you spend the money, I don’t understand how you could end up with $-1/12.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:01 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508198</guid>
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      <item>
         <title>Julian</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508211</link>
         <description><![CDATA[<div><br>I didn't really understand why they had to shift and everything.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:07 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508211</guid>
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      <item>
         <title>Claire </title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508243</link>
         <description><![CDATA[<div>I found the equations very confusing when they were moving the numbers to the next row. For example I did not under stand why the shifted all the digits when S2 was added. &nbsp;<br><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:13 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508243</guid>
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      <item>
         <title>Kaitlyn</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508314</link>
         <description><![CDATA[<div>Like Benita I also found the video and equation a bit confusing. I didn't really understand how he got -1/12. Why did he have to shift the digits when he added S1+S2 and so on? Why couldn't he have left the digits the same? </div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:29 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508314</guid>
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      <item>
         <title>Mallory</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508341</link>
         <description><![CDATA[<div>I found this interesting.  I didn't know that you needed S, S1, and S2 formulas to solve this equation.  I also noticed at the end of the video the man used algebra that we could do to solve the equation.  In addition, the comment made by the filmer was "what if I stopped the formulas at google?".  The interesting thing was that doing that would cause you to have a bigger number.  But going on forever would give you a negative number.  Again, I'm not sure how the man came up with S, S1, and S2 or why he decided to add or subtract them.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:35 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508341</guid>
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      <item>
         <title>Ben</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508346</link>
         <description><![CDATA[<div>At first when he said 1+2+3+4+.... Was equal to 1/12 I was confused but when he broke it down I kinda of got it.&nbsp;But I still feel confused.<br><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:36 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508346</guid>
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      <item>
         <title>Eli P</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508355</link>
         <description><![CDATA[<div>When it first crosses your mind you wouldn’t guess all positive numbers equal a negative fraction. After watching the video more than once it’s still hard to believe all positive numbers together equal -1/12.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:38 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508355</guid>
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      <item>
         <title>Makayla</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508399</link>
         <description><![CDATA[<div>I, personally, an still a little confused as to how they came up with moving the patterns over and what not. I sort of get how they got the equations (like from the physics book). The guy who figured out the answer to the equation said that these types of these equations a lot in physics. I don't really get why we need to know the answer to this equation but good job to them for figuring out the answer.<br><br></div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:52 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508399</guid>
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      <item>
         <title>Lucas</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508404</link>
         <description><![CDATA[<div>How does he know how to shift the S2 numbers over one space to get the answer for the other S sequence</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:14:54 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508404</guid>
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      <item>
         <title>Ellton Wong</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508481</link>
         <description><![CDATA[<div>I understood most of what they were talking but during when they were telling us how you are supposed to get -1/12, I got confused. Why do you use the 4 out of the other numbers?</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:15:15 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508481</guid>
      </item>
      <item>
         <title>Jeremy</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508506</link>
         <description><![CDATA[<div>I personally found the S1 and S2 formulas weird because they gave no explanation and didn't know where it came from. Also it doesn't seem right because if you don't have the S1 and S2 formula, how do all the possible natural numbers equal a negative fraction. Personally it didn't seem logical.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:15:20 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508506</guid>
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      <item>
         <title>lily</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508563</link>
         <description><![CDATA[<div>I didn't understand how they came up with all the different equations and sums. And <br>I didn't understand what the first sum had to do with the end result? Along with that like many other people I'd like to know why they shifted the digits when they added S2 </div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:15:43 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508563</guid>
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      <item>
         <title>Tina</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508727</link>
         <description><![CDATA[<div>I don't think it's possible for 1+2+3+4... will result in -1/12 because at the first S1, they used an average of 1 and 0 because they didn't know whether or not infinity stops at an odd or even place. Because the average was a fraction, 1/2, the final answer became -1/12 because fractions divided by whole numbers will become smaller fractions. The average is not completely accurate. If the actual answer of S1 was 0 or 1, the answer would be completely different. Furthermore, both S2 and S kept going back to S1, which is not correct for sure (since it is either 1 or 0 and not 1/2), the wrong answer affected all of the equations. But despite starting off wrong, this equation often appears in physics, where they did not get infinite numbers as the answer of 1+2+3...</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:16:36 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508727</guid>
      </item>
      <item>
         <title>Skyler</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508826</link>
         <description><![CDATA[<div>Youtube Comment #1 <br><br>Cool, this makes sense.<br><br>Youtube Comment #2<br><br>Why is it that you added a minus in front of the bracket at 5.01?</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:17:05 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126508826</guid>
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      <item>
         <title>Natassia</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509065</link>
         <description><![CDATA[<div>While watching this video, it’s mind-blowing to see how these answers are formed. Honestly, if I had to find a theory for this question, I would have quit. The theory S2 equals -1/12 is about thinking out of the box which isn’t necessarily one of my strengths. After watching this video, it makes me want to do more things like this to help me get out of the box.&nbsp;</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:17:39 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509065</guid>
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      <item>
         <title>JJ</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509299</link>
         <description><![CDATA[<div>Why did he have to shift all the digits when he added S + S?</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:18:54 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509299</guid>
      </item>
      <item>
         <title>Davis</title>
         <author></author>
         <link>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509323</link>
         <description><![CDATA[<div>I don't really understand, how the numbers can add up -1/12, since if I bought 1 apple, then 2, then 3 and so on. I don't get how would that add up to -1/12. I get how he broke it down, but it still confuses me.</div>]]></description>
         <enclosure url="" />
         <pubDate>2016-09-26 20:19:02 UTC</pubDate>
         <guid>https://padlet.com/bruceito/n4qblq4p17tw/wish/126509323</guid>
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