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<!DOCTYPE html>
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<title>Doubling Paper</title>
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<h1 align="center">Doubling Paper</h1>
<img src="images/double-paper.jpg" alt="paper doubling" class="imgrt">
<h2>Double, double, double!</h2>
<p>What if we could fold paper again and again? How thick would it get?</p>
<p>Let us start with a piece of paper that is <b>0.1 mm thick</b>, and keep folding it in half.</p>
<p>(Note: it is <b>very hard to go beyond the 6th fold</b>, just try it! But let us <i>imagine </i>we can.)</p>
<p><br></p>
<div class="row">
<div class="num hdr">Folds</div>
<div class="metric hdr">Size</div>
<div class="sci hdr">Scientific Notation</div>
<div class="comments hdr">Example values</div></div>
<div class="row">
<div class="num">0</div>
<div class="metric">0.1 mm</div>
<div class="sci">1.00 × 10<sup>-4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">1</div>
<div class="metric">0.2 mm</div>
<div class="sci">2.00 × 10<sup>-4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">2</div>
<div class="metric">0.4 mm</div>
<div class="sci">4.00 × 10<sup>-4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">3</div>
<div class="metric">0.8 mm</div>
<div class="sci">8.00 × 10<sup>-4</sup> m</div>
<div class="comments">a credit card is about 1mm thick </div></div>
<div class="row">
<div class="num">4</div>
<div class="metric">1.6 mm</div>
<div class="sci">1.60 × 10<sup>-3</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">5</div>
<div class="metric">3.2 mm</div>
<div class="sci">3.20 × 10<sup>-3</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">6</div>
<div class="metric">6.4 mm</div>
<div class="sci">6.40 × 10<sup>-3</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">7</div>
<div class="metric">12.8 mm</div>
<div class="sci">1.28 × 10<sup>-2</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">8</div>
<div class="metric">25.6 mm</div>
<div class="sci">2.56 × 10<sup>-2</sup> m</div>
<div class="comments">&nbsp;an inch is 25.4 mm</div></div>
<div class="row">
<div class="num">9</div>
<div class="metric">51.2 mm</div>
<div class="sci">5.12 × 10<sup>-2</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">10</div>
<div class="metric">102 mm</div>
<div class="sci">1.02 × 10<sup>-1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">11</div>
<div class="metric">205 mm</div>
<div class="sci">2.05 × 10<sup>-1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">12</div>
<div class="metric">410 mm</div>
<div class="sci">4.10 × 10<sup>-1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">13</div>
<div class="metric">819 mm</div>
<div class="sci">8.19 × 10<sup>-1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">14</div>
<div class="metric">1.64 m&nbsp;</div>
<div class="sci">1.64 × 10<sup>0</sup> m</div>
<div class="comments">1.7 m is a typical height of a man</div></div>
<div class="row">
<div class="num">15</div>
<div class="metric">3.28 m&nbsp;</div>
<div class="sci">3.28 × 10<sup>0</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">16</div>
<div class="metric">6.55 m&nbsp;</div>
<div class="sci">6.55 × 10<sup>0</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">17</div>
<div class="metric">13.1 m&nbsp;</div>
<div class="sci">1.31 × 10<sup>1</sup> m</div>
<div class="comments">two storey house</div></div>
<div class="row">
<div class="num">18</div>
<div class="metric">26.2 m&nbsp;</div>
<div class="sci">2.62 × 10<sup>1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">19</div>
<div class="metric">52.4 m&nbsp;</div>
<div class="sci">5.24 × 10<sup>1</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">20</div>
<div class="metric">105 m&nbsp;</div>
<div class="sci">1.05 × 10<sup>2</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">21</div>
<div class="metric">210 m&nbsp;</div>
<div class="sci">2.10 × 10<sup>2</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">22</div>
<div class="metric">419 m&nbsp;</div>
<div class="sci">4.19 × 10<sup>2</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">23</div>
<div class="metric">839 m&nbsp;</div>
<div class="sci">8.39 × 10<sup>2</sup> m</div>
<div class="comments">almost 1 km</div></div>
<div class="row">
<div class="num">24</div>
<div class="metric">1.68 km</div>
<div class="sci">1.68 × 10<sup>3</sup> m</div>
<div class="comments">a mile is <span class="js-about-item-abstr">1.609344 km<br></span></div></div>
<div class="row">
<div class="num">25</div>
<div class="metric">3.36 km</div>
<div class="sci">3.36 × 10<sup>3</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">26</div>
<div class="metric">6.71 km</div>
<div class="sci">6.71 × 10<sup>3</sup> m</div>
<div class="comments">height of Mount Everest is 8.848 km</div></div>
<div class="row">
<div class="num">27</div>
<div class="metric">13.4 km</div>
<div class="sci">1.34 × 10<sup>4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">28</div>
<div class="metric">26.8 km</div>
<div class="sci">2.68 × 10<sup>4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">29</div>
<div class="metric">53.7 km</div>
<div class="sci">5.37 × 10<sup>4</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">30</div>
<div class="metric">107 km</div>
<div class="sci">1.07 × 10<sup>5</sup> m</div>
<div class="comments">edge of space (100 km)</div></div>
<div class="row">
<div class="num">31</div>
<div class="metric">215 km</div>
<div class="sci">2.15 × 10<sup>5</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">32</div>
<div class="metric">429 km</div>
<div class="sci">4.29 × 10<sup>5</sup> m</div>
<div class="comments">International Space Station orbit (410 km)</div></div>
<div class="row">
<div class="num">33</div>
<div class="metric">859 km</div>
<div class="sci">8.59 × 10<sup>5</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">34</div>
<div class="metric">1.72 Mm</div>
<div class="sci">1.72 × 10<sup>6</sup> m</div>
<div class="comments">1 Mm (Megameter) is 1000 km</div></div>
<div class="row">
<div class="num">35</div>
<div class="metric">3.44 Mm</div>
<div class="sci">3.44 × 10<sup>6</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">36</div>
<div class="metric">6.87 Mm</div>
<div class="sci">6.87 × 10<sup>6</sup> m</div>
<div class="comments">(Earth's radius is about 6.37 Mm)</div></div>
<div class="row">
<div class="num">37</div>
<div class="metric">13.7 Mm</div>
<div class="sci">1.37 × 10<sup>7</sup> m</div>
<div class="comments">(Earth's diameter is about 12.74 Mm)</div></div>
<div class="row">
<div class="num">38</div>
<div class="metric">27.5 Mm</div>
<div class="sci">2.75 × 10<sup>7</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">39</div>
<div class="metric">55.0 Mm</div>
<div class="sci">5.50 × 10<sup>7</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">40</div>
<div class="metric">110 Mm</div>
<div class="sci">1.10 × 10<sup>8</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">41</div>
<div class="metric">220 Mm</div>
<div class="sci">2.20 × 10<sup>8</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">42</div>
<div class="metric">440 Mm</div>
<div class="sci">4.40 × 10<sup>8</sup> m</div>
<div class="comments">beyond the Moon!</div><img src="images/moon.jpg" alt="moon" class="imgrt"></div>
<div class="row">
<div class="num">43</div>
<div class="metric">880 Mm</div>
<div class="sci">8.80 × 10<sup>8</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">44</div>
<div class="metric">1.76 Gm</div>
<div class="sci">1.76 × 10<sup>9</sup> m</div>
<div class="comments">1 Gm (Gigameter) is 1 million kilometers </div></div>
<div class="row">
<div class="num">45</div>
<div class="metric">3.52 Gm</div>
<div class="sci">3.52 × 10<sup>9</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">46</div>
<div class="metric">7.04 Gm</div>
<div class="sci">7.04 × 10<sup>9</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">47</div>
<div class="metric">14.1 Gm</div>
<div class="sci">1.41 × 10<sup>10</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">48</div>
<div class="metric">28.1 Gm</div>
<div class="sci">2.81 × 10<sup>10</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">49</div>
<div class="metric">56.3 Gm</div>
<div class="sci">5.63 × 10<sup>10</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">50</div>
<div class="metric">113 Gm</div>
<div class="sci">1.13 × 10<sup>11</sup> m</div>
<div class="comments">beyond Mars</div></div>
<div class="row">
<div class="num">51</div>
<div class="metric">225 Gm</div>
<div class="sci">2.25 × 10<sup>11</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">52</div>
<div class="metric">450 Gm</div>
<div class="sci">4.50 × 10<sup>11</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">53</div>
<div class="metric">901 Gm</div>
<div class="sci">9.01 × 10<sup>11</sup> m</div>
<div class="comments">beyond Jupiter</div></div>
<div class="row">
<div class="num">54</div>
<div class="metric">1.80 Tm</div>
<div class="sci">1.80 × 10<sup>12</sup> m</div>
<div class="comments">1 Tm (Terameter) is 1 billion km</div></div>
<div class="row">
<div class="num">55</div>
<div class="metric">3.60 Tm</div>
<div class="sci">3.60 × 10<sup>12</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">56</div>
<div class="metric">7.21 Tm</div>
<div class="sci">7.21 × 10<sup>12</sup> m</div>
<div class="comments">beyond Neptune</div></div>
<div class="row">
<div class="num">57</div>
<div class="metric">14.4 Tm</div>
<div class="sci">1.44 × 10<sup>13</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">58</div>
<div class="metric">28.8 Tm</div>
<div class="sci">2.88 × 10<sup>13</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">59</div>
<div class="metric">57.6 Tm</div>
<div class="sci">5.76 × 10<sup>13</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">60</div>
<div class="metric">115 Tm</div>
<div class="sci">1.15 × 10<sup>14</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">61</div>
<div class="metric">231 Tm</div>
<div class="sci">2.31 × 10<sup>14</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">62</div>
<div class="metric">461 Tm</div>
<div class="sci">4.61 × 10<sup>14</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">63</div>
<div class="metric">922 Tm</div>
<div class="sci">9.22 × 10<sup>14</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">64</div>
<div class="metric">1.84 Pm</div>
<div class="sci">1.84 × 10<sup>15</sup> m</div>
<div class="comments">1 Pm (Petameter) is 1 Trillion km</div></div>
<div class="row">
<div class="num">65</div>
<div class="metric">3.69 Pm</div>
<div class="sci">3.69 × 10<sup>15</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">66</div>
<div class="metric">7.38 Pm</div>
<div class="sci">7.38 × 10<sup>15</sup> m</div>
<div class="comments">1 light-year is 9.46 Pm</div></div>
<div class="row">
<div class="num">67</div>
<div class="metric">14.8 Pm</div>
<div class="sci">1.48 × 10<sup>16</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">68</div>
<div class="metric">29.5 Pm</div>
<div class="sci">2.95 × 10<sup>16</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">69</div>
<div class="metric">59.0 Pm</div>
<div class="sci">5.90 × 10<sup>16</sup> m</div>
<div class="comments">beyond Alpha Centauri</div></div>
<div class="row">
<div class="num">70</div>
<div class="metric">118 Pm</div>
<div class="sci">1.18 × 10<sup>17</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">71</div>
<div class="metric">236 Pm</div>
<div class="sci">2.36 × 10<sup>17</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">72</div>
<div class="metric">472 Pm</div>
<div class="sci">4.72 × 10<sup>17</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">73</div>
<div class="metric">944 Pm</div>
<div class="sci">9.44 × 10<sup>17</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">74</div>
<div class="metric">1.89 Em</div>
<div class="sci">1.89 × 10<sup>18</sup> m</div>
<div class="comments">1 Em (Exameter) is 1000 Pm</div></div>
<div class="row">
<div class="num">75</div>
<div class="metric">3.78 Em</div>
<div class="sci">3.78 × 10<sup>18</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">76</div>
<div class="metric">7.56 Em</div>
<div class="sci">7.56 × 10<sup>18</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">77</div>
<div class="metric">15.1 Em</div>
<div class="sci">1.51 × 10<sup>19</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">78</div>
<div class="metric">30.2 Em</div>
<div class="sci">3.02 × 10<sup>19</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">79</div>
<div class="metric">60.4 Em</div>
<div class="sci">6.04 × 10<sup>19</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">80</div>
<div class="metric">121 Em</div>
<div class="sci">1.21 × 10<sup>20</sup> m</div>
<div class="comments"></div></div>
<img src="images/milky-way-width.jpg" alt="milky way galaxy" class="imgrt">
<div style="clear:both"></div>
<div class="row">
<div class="num">81</div>
<div class="metric">242 Em</div>
<div class="sci">2.42 × 10<sup>20</sup> m</div>
<div class="comments">beyond our Galaxy</div></div>
<div class="row">
<div class="num">82</div>
<div class="metric">484 Em</div>
<div class="sci">4.84 × 10<sup>20</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">83</div>
<div class="metric">967 Em</div>
<div class="sci">9.67 × 10<sup>20</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">84</div>
<div class="metric">1.93 Zm</div>
<div class="sci">1.93 × 10<sup>21</sup> m</div>
<div class="comments">1 Zm (Zettameter) is 1000 Em</div></div>
<div class="row">
<div class="num">85</div>
<div class="metric">3.87 Zm</div>
<div class="sci">3.87 × 10<sup>21</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">86</div>
<div class="metric">7.74 Zm</div>
<div class="sci">7.74 × 10<sup>21</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">87</div>
<div class="metric">15.5 Zm</div>
<div class="sci">1.55 × 10<sup>22</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">88</div>
<div class="metric">30.9 Zm</div>
<div class="sci">3.09 × 10<sup>22</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">89</div>
<div class="metric">61.9 Zm</div>
<div class="sci">6.19 × 10<sup>22</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">90</div>
<div class="metric">124 Zm</div>
<div class="sci">1.24 × 10<sup>23</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">91</div>
<div class="metric">248 Zm</div>
<div class="sci">2.48 × 10<sup>23</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">92</div>
<div class="metric">495 Zm</div>
<div class="sci">4.95 × 10<sup>23</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">93</div>
<div class="metric">990 Zm</div>
<div class="sci">9.90 × 10<sup>23</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">94</div>
<div class="metric">1.98 Ym</div>
<div class="sci">1.98 × 10<sup>24</sup> m</div>
<div class="comments">1 Ym (Yottameter) is 1000 Zm</div></div>
<div class="row">
<div class="num">95</div>
<div class="metric">3.96 Ym</div>
<div class="sci">3.96 × 10<sup>24</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">96</div>
<div class="metric">7.92 Ym</div>
<div class="sci">7.92 × 10<sup>24</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">97</div>
<div class="metric">15.8 Ym</div>
<div class="sci">1.58 × 10<sup>25</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">98</div>
<div class="metric">31.7 Ym</div>
<div class="sci">3.17 × 10<sup>25</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">99</div>
<div class="metric">63.4 Ym</div>
<div class="sci">6.34 × 10<sup>25</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">100</div>
<div class="metric">127 Ym</div>
<div class="sci">1.27 × 10<sup>26</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">101</div>
<div class="metric">254 Ym</div>
<div class="sci">2.54 × 10<sup>26</sup> m</div>
<div class="comments"></div></div>
<div class="row">
<div class="num">102</div>
<div class="metric">507 Ym</div>
<div class="sci">5.07 × 10<sup>26</sup> m</div>
<div class="comments">beyond the Observable Universe (radius of 440 Ym)</div></div>
<p><br></p>
<p>So (if we could physically do it) then 102 doublings of paper would extend beyond the observable universe!</p>
<p>In a way it is comforting that two things we understand (doubling, and the number 102) can reach so far.</p>
<p><br></p>
<div class="related"><a href="metric-length.html">Metric Length</a> <a href="lengths-small-large.html">Lengths from Small to Large</a></div>
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