{"id":3582,"date":"2023-11-23T07:45:13","date_gmt":"2023-11-23T12:45:13","guid":{"rendered":"https:\/\/sites.williams.edu\/Morgan\/?page_id=3582"},"modified":"2023-11-23T07:45:38","modified_gmt":"2023-11-23T12:45:38","slug":"americas-favorite-number","status":"publish","type":"page","link":"https:\/\/sites.williams.edu\/Morgan\/math-chat-archives\/americas-favorite-number\/","title":{"rendered":"AMERICA&#8217;S FAVORITE NUMBER"},"content":{"rendered":"<p>December 17, 1998<\/p>\n<h3><\/h3>\n<p><b>OLD CHALLENGE.<\/b>\u00a0Math Chat invited each reader to send in a number. The most commonly submitted number, with the best explanation of why, wins.<\/p>\n<p>ANSWER. In a tight race between 7 and\u00a0<span style=\"font-family: Symbol\">p<\/span>,\u00a0<span style=\"font-family: Symbol\">p<\/span>\u00a0wins by a single vote. (<span style=\"font-family: Symbol\">p<\/span>\u00a0is what you get when you divide the circumference of any circle by its diameter.) Sebastian Zwicknagl reasons that all integers are equally interesting, but that\u00a0<span style=\"font-family: Symbol\">p<\/span>\u00a0is special. Arthur Pasternak realizes that an internet audience might choose the more mathematical number. And as Dean Thomas puts it, &#8220;<span style=\"font-family: Symbol\">p<\/span>\u00a0is the most mathematical number I know!&#8221; Joel Foisy calls it &#8220;the best known irrational number.&#8221; Rational numbers have decimal expansions that either end or repeat, such as 1\/4 = .25 or 1\/3 = .333&#8230;, but<\/p>\n<p style=\"text-align: center\"><span style=\"font-family: Symbol\">p<\/span>\u00a0= 3.1415926535897932384626433832795028841971&#8230;<\/p>\n<p>goes on forever. Amazingly enough,\u00a0<span style=\"font-family: Symbol\">p<\/span>\u00a0comes up not only in geometry, but in almost every branch of mathematics.<\/p>\n<p>Other contenders include 0, 1, 2, 17, and 70.<\/p>\n<p><b>NEW CHALLENGE<\/b>\u00a0(Steve Jabloner). How many times do you think you need to role a normal die to be 90-percent sure that each of the six faces has appeared at least once? Why?<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p>Copyright 1998 Frank Morgan<\/p>\n<p>Send answers, comments, and new questions by email to\u00a0<a href=\"mailto:Frank.Morgan@williams.edu\">Frank.Morgan@williams.edu<\/a>, to be eligible for\u00a0<i>Flatland<\/i>\u00a0and other book awards. Winning answers will appear in the next Math Chat. Math Chat appears on the first and third Thursdays of each month. Prof. Morgan&#8217;s homepage is at\u00a0<a href=\"http:\/\/www.williams.edu\/Mathematics\/fmorgan\">www.williams.edu\/Mathematics\/fmorgan<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>December 17, 1998 OLD CHALLENGE.\u00a0Math Chat invited each reader to send in a number. The most commonly submitted number, with the best explanation of why, wins. ANSWER. In a tight race between 7 and\u00a0p,\u00a0p\u00a0wins by a single vote. (p\u00a0is what you get when you divide the circumference of any circle by its diameter.) Sebastian Zwicknagl [&hellip;]<\/p>\n","protected":false},"author":2965,"featured_media":0,"parent":3459,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-3582","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3582","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/2965"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=3582"}],"version-history":[{"count":2,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3582\/revisions"}],"predecessor-version":[{"id":3584,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3582\/revisions\/3584"}],"up":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/pages\/3459"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=3582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}