{"id":417,"date":"2020-04-26T18:21:06","date_gmt":"2020-04-26T18:21:06","guid":{"rendered":"http:\/\/blog.newtonchineseschool.org\/lilijia\/?p=417"},"modified":"2020-04-26T18:23:38","modified_gmt":"2020-04-26T18:23:38","slug":"aops-number-theory-ch-10","status":"publish","type":"post","link":"https:\/\/blog.newtonchineseschool.org\/lilijia\/2020\/04\/26\/aops-number-theory-ch-10\/","title":{"rendered":"AoPS Number Theory Ch.10"},"content":{"rendered":"\n<p>Welcome new friend Gioia! ^_^<\/p>\n\n\n\n<p>Congratulations to the Top 3 in Kahoot! game today: Max, Susan, Annabelle ^_^<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img loading=\"lazy\" width=\"931\" height=\"649\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/WeChat-Image_20200426142234.png\" alt=\"\" class=\"wp-image-426\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/WeChat-Image_20200426142234.png 931w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/WeChat-Image_20200426142234-300x209.png 300w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/WeChat-Image_20200426142234-768x535.png 768w\" sizes=\"(max-width: 931px) 100vw, 931px\" \/><\/figure><\/div>\n\n\n\n<p>Today we learned <strong>Ch.10 Units Digits<\/strong>. Here are the blackboard notes in class for your review.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0150-768x1024.jpg\" alt=\"\" class=\"wp-image-418\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0150-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0150-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0150.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0151-768x1024.jpg\" alt=\"\" class=\"wp-image-419\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0151-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0151-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0151.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0152-768x1024.jpg\" alt=\"\" class=\"wp-image-420\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0152-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0152-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0152.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0153-768x1024.jpg\" alt=\"\" class=\"wp-image-421\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0153-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0153-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0153.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0155-768x1024.jpg\" alt=\"\" class=\"wp-image-422\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0155-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0155-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0155.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0157-768x1024.jpg\" alt=\"\" class=\"wp-image-423\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0157-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0157-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0157.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" width=\"768\" height=\"1024\" src=\"http:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0159-768x1024.jpg\" alt=\"\" class=\"wp-image-424\" srcset=\"https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0159-768x1024.jpg 768w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0159-225x300.jpg 225w, https:\/\/blog.newtonchineseschool.org\/lilijia\/files\/2020\/04\/IMG-0159.jpg 1536w\" sizes=\"(max-width: 768px) 100vw, 768px\" \/><\/figure>\n\n\n\n<p><strong>Homework:<\/strong><\/p>\n\n\n\n<ul><li>p.182 Ex.10.2.1 (h,m,q,t), 10.2.4 to10.2.6<\/li><li>p.185 Ex.10.3.1 (c,g,h,i), 10.3.3<\/li><li>p.188 Ex.10.4.1, 10.4.3, 10.4.4 (a)<\/li><li>p.189 Ex.10.20, 10.23, 10.27<\/li><li>p.190 Ex.10.37, 10.41<\/li><\/ul>\n\n\n\n<p><strong>Extra Resource:<\/strong><\/p>\n\n\n\n<ul><li><a href=\"https:\/\/www.justquant.com\/numbertheory\/units-digit-of-a-number-raised-to-power\/\">https:\/\/www.justquant.com\/numbertheory\/units-digit-of-a-number-raised-to-power\/<\/a><\/li><li><a href=\"https:\/\/www.youtube.com\/watch?v=q2P8KxG3FHk\">https:\/\/www.youtube.com\/watch?v=q2P8KxG3FHk<\/a><\/li><li><a href=\"https:\/\/encrypted-vtbn0.gstatic.com\/video?q=tbn:ANd9GcTmIbL2kv7wDSrKeD718sxOXcbaLFUR-0NWEUG2gNqhL_xEqprJ\">https:\/\/encrypted-vtbn0.gstatic.com\/video?q=tbn:ANd9GcTmIbL2kv7wDSrKeD718sxOXcbaLFUR-0NWEUG2gNqhL_xEqprJ<\/a><\/li><li><a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php\/1997_AJHSME_Problems\/Problem_25\">https:\/\/artofproblemsolving.com\/wiki\/index.php\/1997_AJHSME_Problems\/Problem_25<\/a><\/li><\/ul>\n\n\n\n<p><strong>Summary\uff1a<\/strong><\/p>\n\n\n\n<ul><li>For +,-,X of positive integers, the units digit of the result is determined solely by the units digits of all the integers involved.&nbsp;<\/li><li>However, the division can not apply this rule.<\/li><li>Problem-solving: hunt for patterns \ud83d\ude42<\/li><\/ul>\n\n\n\n<p>Take care and see you next week!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Welcome new friend Gioia! ^_^ Congratulations to the Top 3 in Kahoot! game today: Max, Susan, Annabelle ^_^ Today we learned Ch.10 Units Digits. Here are the blackboard notes in class for your review. Homework: p.182 Ex.10.2.1 (h,m,q,t), 10.2.4 to10.2.6 p.185 Ex.10.3.1 (c,g,h,i), 10.3.3 p.188 Ex.10.4.1, 10.4.3, 10.4.4 (a) p.189 Ex.10.20, 10.23, 10.27 p.190 Ex.10.37, [&hellip;]<\/p>\n","protected":false},"author":157,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[4],"tags":[],"_links":{"self":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/417"}],"collection":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/users\/157"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/comments?post=417"}],"version-history":[{"count":2,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/417\/revisions"}],"predecessor-version":[{"id":427,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/posts\/417\/revisions\/427"}],"wp:attachment":[{"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/media?parent=417"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/categories?post=417"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.newtonchineseschool.org\/lilijia\/wp-json\/wp\/v2\/tags?post=417"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}