{"id":7575,"date":"2021-11-20T14:04:33","date_gmt":"2021-11-20T07:04:33","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=7575"},"modified":"2021-11-20T17:13:35","modified_gmt":"2021-11-20T10:13:35","slug":"lam-the-nao-tu-so-7-co-lap-co-the-khoi-phuc-lai-toan-bo-ca-phep-tinh","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/lam-the-nao-tu-so-7-co-lap-co-the-khoi-phuc-lai-toan-bo-ca-phep-tinh\/","title":{"rendered":"L\u00e0m th\u1ebf n\u00e0o t\u1eeb s\u1ed1 7 c\u00f4 l\u1eadp c\u00f3 th\u1ec3 kh\u00f4i ph\u1ee5c l\u1ea1i to\u00e0n b\u1ed9 c\u1ea3 ph\u00e9p t\u00ednh?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">X\u00e9t xem ph\u00e9p t\u00ednh sau \u0111\u00e2y ch\u1ec9 c\u00f3 m\u1ed7i s\u1ed1 7 c\u00f2n c\u00e1c v\u1ecb tr\u00ed c\u00e1c ch\u1eef s\u1ed1 kh\u00e1c \u0111\u1ec1u b\u1ecf tr\u1ed1ng. L\u00e0m th\u1ebf n\u00e0o c\u00f3 th\u1ec3 kh\u00f4i ph\u1ee5c \u0111\u01b0\u1ee3c to\u00e0n b\u1ed9 ph\u00e9p t\u00ednh chia \u0111\u00e3 cho. S\u1ed1 b\u1ecb chia l\u00e0 con s\u1ed1 c\u00f3 8 ch\u1eef s\u1ed1, th\u01b0\u01a1ng s\u1ed1 c\u00f3 5 ch\u1eef s\u1ed1, c\u00f2n s\u1ed1 chia c\u00f3 3 ch\u1eef s\u1ed1. Nh\u00ecn v\u00e0o c\u00e1c h\u00e0ng s\u1ed1 t\u1eadn c\u00f9ng r\u00f5 r\u00e0ng \u0111\u00e2y l\u00e0 ph\u00e9p chia h\u1ebft. S\u1ed1 c\u00e1c ch\u1eef s\u1ed1 trong ph\u00e9p t\u00ednh n\u00e0y c\u00f3 \u0111\u1ebfn 41 ch\u1eef s\u1ed1 m\u00e0 ta ch\u1ec9 bi\u1ebft c\u00f3 m\u1ed7i ch\u1eef s\u1ed1 7. B\u1ea1n c\u00f3 th\u1ec3 d\u1ef1a v\u00e0o m\u1ed7i con s\u1ed1 7 kh\u00f4i ph\u1ee5c l\u1ea1i to\u00e0n b\u1ed9 c\u00e1c ch\u1eef s\u1ed1 c\u00f2n b\u1ecf tr\u1ed1ng:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hi\u1ec7n t\u1ea1i ta c\u00f3 th\u1ec3 d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p suy lu\u1eadn l\u00f4gic, l\u1ea5y con s\u1ed1 7 l\u00e0m \u0111i\u1ec3m \u0111\u1ed9t ph\u00e1 \u0111\u1ec3 suy ra to\u00e0n b\u1ed9 c\u00e1c ch\u1eef s\u1ed1 trong ph\u00e9p t\u00ednh.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u1ec3 ti\u1ec7n di\u1ec5n gi\u1ea3i, ch\u00fang ta n\u00eau to\u00e0n b\u1ed9 k\u00ed hi\u1ec7u ph\u00e9p chia d\u01b0\u1edbi \u0111\u00e2y:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tr\u01b0\u1edbc h\u1ebft x\u00e9t h\u00e0ng th\u1ee9 ba v\u00e0 h\u00e0ng th\u1ee9 t\u01b0. Do con s\u1ed1 c\u00f3 ba ch\u1eef s\u1ed1 th\u00ec con s\u1ed1 t\u1ed1i \u0111a kh\u00f4ng qu\u00e1 999, c\u00f2n ba ch\u1eef s\u1ed1 \u1edf h\u00e0ng th\u1ee9 t\u01b0 th\u00ec ch\u1eef s\u1ed1 \u0111\u1ea7u nh\u1ea5t \u0111\u1ecbnh kh\u00f4ng v\u01b0\u1ee3t qu\u00e1 s\u1ed1 8.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ch\u1eef s\u1ed1 th\u1ee9 t\u01b0 \u1edf th\u01b0\u01a1ng s\u1ed1 r\u00f5 r\u00e0ng l\u00e0 s\u1ed1 0 (v\u00ec con s\u1ed1 \u1edf h\u00e0ng th\u1ee9 b\u1ea3y c\u00f3 nhi\u1ec1u h\u01a1n \u1edf h\u00e0ng th\u1ee9 s\u00e1u hai ch\u1eef s\u1ed1 v\u1ec1 ph\u00eda b\u00ean ph\u1ea3i). Hi\u1ec7n t\u1ea1i v\u1eabn ch\u01b0a c\u00f3 c\u00e1ch ph\u00e1t hi\u1ec7n ch\u1eef s\u1ed1 th\u1ee9 ba \u1edf th\u01b0\u01a1ng s\u1ed1, t\u1ee9c con s\u1ed1 \u0111\u1ee9ng c\u1ea1nh s\u1ed1 7 \u1edf b\u00ean ph\u1ea3i. Ch\u1ec9 c\u1ea7n so s\u00e1nh c\u00e1c h\u00e0ng th\u1ee9 ba, th\u1ee9 t\u01b0 v\u1edbi h\u00e0ng th\u1ee9 n\u0103m, h\u00e0ng th\u1ee9 s\u00e1u b\u1ea1n s\u1ebd ph\u00e1t hi\u1ec7n \u0111\u01b0\u1ee3c l\u00e0 ch\u1eef s\u1ed1 n\u00e0y ph\u1ea3i l\u1edbn h\u01a1n 7, n\u00ean ch\u1ec9 c\u00f3 th\u1ec3 l\u00e0 ch\u1eef s\u1ed1 8 ho\u1eb7c ch\u1eef s\u1ed1 9.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1ea1i x\u00e9t ch\u1eef s\u1ed1 \u1edf b\u00ean tr\u00e1i ch\u1eef s\u1ed1 7, ch\u1eef s\u1ed1 n\u00e0y khi nh\u00e2n v\u1edbi s\u1ed1 chia s\u1ebd \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 c\u00f3 b\u1ed1n ch\u1eef s\u1ed1, c\u00f2n ch\u1eef s\u1ed1 \u1edf b\u00ean ph\u1ea3i s\u1ed1 7 khi nh\u00e2n v\u1edbi s\u1ed1 chia l\u1ea1i \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 c\u00f3 ba ch\u1eef s\u1ed1, v\u1ea3 l\u1ea1i con s\u1ed1 c\u00f3 ba ch\u1eef s\u1ed1 n\u00e0y ph\u1ea3i kh\u00f4ng qu\u00e1 b\u00e9, kh\u00f4ng nh\u1eefng th\u1ebf ph\u1ea3i l\u00e0 con s\u1ed1 l\u1edbn h\u01a1n con s\u1ed1 \u1edf h\u00e0ng th\u1ee9 t\u01b0. T\u1eeb \u0111\u00f3 c\u00f3 th\u1ec3 \u0111i \u0111\u1ebfn ph\u00e1n \u0111o\u00e1n: ch\u1eef s\u1ed1 \u1edf b\u00ean ph\u1ea3i s\u1ed1 7 ph\u1ea3i l\u00e0 s\u1ed1 8, ch\u1eef s\u1ed1 \u1edf b\u00ean tr\u00e1i s\u1ed1 7 ph\u1ea3i l\u00e0 s\u1ed1 9 v\u00e0 to\u00e0n b\u1ed9 th\u01b0\u01a1ng s\u1ed1 s\u1ebd l\u00e0 97809.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">L\u1ea1i x\u00e9t \u0111\u1ebfn h\u00e0ng th\u1ee9 s\u00e1u. Do t\u00edch s\u1ed1 c\u1ee7a s\u1ed1 chia v\u1edbi s\u1ed1 8 l\u00e0 m\u1ed9t s\u1ed1 ch\u1ec9 c\u00f3 ba ch\u1eef s\u1ed1, n\u00ean c\u00f3 th\u1ec3 ph\u00e1n \u0111o\u00e1n s\u1ed1 chia ph\u1ea3i nh\u1ecf h\u01a1n 125. N\u1ebfu nh\u01b0 v\u1eady ta b\u1eaft \u0111\u1ea7u th\u1eed v\u1edbi s\u1ed1 124. L\u1ea5y s\u1ed1 124 nh\u00e2n cho 97809, sau khi t\u00ednh \u0111\u01b0\u1ee3c s\u1ed1 b\u1ecb chia ta l\u1ea1i th\u1ef1c hi\u1ec7n ph\u00e9p chia:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0110\u00e2y c\u00f3 ph\u1ea3i l\u00e0 l\u1eddi gi\u1ea3i duy nh\u1ea5t kh\u00f4ng? B\u00e2y gi\u1edd ta l\u1ea1i th\u1eed ph\u00e9p chia v\u1edbi s\u1ed1 chia 123:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Con s\u1ed1 trong \u00f4 ch\u1eef nh\u1eadt c\u00f3 ba ch\u1eef s\u1ed1 trong khi theo s\u01a1 \u0111\u1ed3 th\u00ec con s\u1ed1 \u1edf \u0111\u00f3 c\u00f3 b\u1ed1n ch\u1eef s\u1ed1 (h\u00e0ng th\u1ee9 n\u0103m), n\u00ean s\u1ed1 chia 123 b\u1ecb lo\u1ea1i tr\u1eeb. R\u00f5 r\u00e0ng kh\u00f4ng c\u1ea7n ph\u1ea3i th\u1eed ti\u1ebfp c\u00e1c s\u1ed1 chia nh\u1ecf h\u01a1n 123.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Vi\u1ec7c t\u1eeb m\u1ed9t \u0111\u1ea7u m\u1ed1i mong manh m\u00e0 ph\u00e1t hi\u1ec7n \u0111\u01b0\u1ee3c to\u00e0n b\u1ed9 \u0111\u00e3 cung c\u1ea5p cho ng\u01b0\u1eddi ta m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p suy ngh\u0129 c\u00f3 \u00edch. G\u1ecdi theo t\u1eeb chuy\u00ean m\u00f4n l\u00e0 \u201cb\u00e0i to\u00e1n s\u00e2u g\u1eb7m\u201d. Ban \u0111\u1ea7u ph\u01b0\u01a1ng ph\u00e1p n\u00e0y \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 ph\u00e1t hi\u1ec7n c\u00e1c ch\u1eef s\u1ed1 trong t\u00e0i li\u1ec7u, s\u00e1ch v\u1edf \u0111\u00e3 b\u1ecb m\u1ed1i, m\u1ecdt g\u1eb7m m\u1ea5t, hi\u1ec7n nay ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong khoa h\u1ecdc k\u0129 thu\u1eadt. B\u00e0i to\u00e1n con s\u1ed1 7 c\u00f4 \u0111\u1ed9c n\u00eau tr\u00ean ch\u00ednh l\u00e0 m\u1ed9t lo\u1ea1i \u201cb\u00e0i to\u00e1n s\u00e2u g\u1eb7m\u201d, l\u00e0 ki\u1ec7t t\u00e1c c\u1ee7a Audling.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">T\u1eeb kho\u00e1: B\u00e0i to\u00e1n s\u00e2u g\u1eb7m.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n\n\n\n","protected":false},"excerpt":{"rendered":"<p>X\u00e9t xem ph\u00e9p t\u00ednh sau \u0111\u00e2y ch\u1ec9 c\u00f3 m\u1ed7i s\u1ed1 7 c\u00f2n c\u00e1c v\u1ecb tr\u00ed c\u00e1c ch\u1eef s\u1ed1 kh\u00e1c \u0111\u1ec1u b\u1ecf tr\u1ed1ng. L\u00e0m th\u1ebf n\u00e0o c\u00f3 th\u1ec3 kh\u00f4i ph\u1ee5c \u0111\u01b0\u1ee3c to\u00e0n b\u1ed9 ph\u00e9p t\u00ednh chia \u0111\u00e3 cho. S\u1ed1 b\u1ecb chia l\u00e0 con s\u1ed1 c\u00f3 8 ch\u1eef s\u1ed1, th\u01b0\u01a1ng s\u1ed1 c\u00f3 5 ch\u1eef s\u1ed1, c\u00f2n s\u1ed1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[15,9],"tags":[],"class_list":["post-7575","post","type-post","status-publish","format-standard","hentry","category-hoi-dap-khoa-hoc","category-toan-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7575","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=7575"}],"version-history":[{"count":0,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/7575\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=7575"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=7575"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=7575"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}