{"id":614,"date":"2019-01-31T13:16:48","date_gmt":"2019-01-31T18:16:48","guid":{"rendered":"http:\/\/josmfs.net\/?p=614"},"modified":"2024-04-14T19:56:21","modified_gmt":"2024-04-14T23:56:21","slug":"a-multitude-of-2s","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/01\/31\/a-multitude-of-2s\/","title":{"rendered":"A Multitude of 2s"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3906\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Multitude-of-2s-Fig2.jpg\" alt=\"\" width=\"201\" height=\"187\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Multitude-of-2s-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Multitude-of-2s-Fig2-300x279.jpg 300w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/>This is a fun little problem from the United Kingdom Mathematics Trust (UKMT) Senior Math Challenge of 2008.<\/p>\n<p>\u201cWhat is the remainder when the 2008-digit number 222 \u2026 22 is divided by 9?\u201d<\/p>\n<p>(Hint: See The Barrel of Beer)<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Multitude-of-2s-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/01\/Multitude-of-2s-190131.pdf\">A Multitude of 2s<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a fun little problem from the United Kingdom Mathematics Trust (UKMT) Senior Math Challenge of 2008. \u201cWhat is the remainder when the 2008-digit number 222 \u2026 22 is divided by 9?\u201d (Hint: See The Barrel of Beer) Answer. See A Multitude of 2s for a solution.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[77,78,83],"class_list":["post-614","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-digital-root","tag-modular-arithmetic","tag-ukmt-challenge"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/614","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=614"}],"version-history":[{"count":4,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/614\/revisions"}],"predecessor-version":[{"id":3908,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/614\/revisions\/3908"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=614"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=614"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=614"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}