W matematyce liczby odgrywaj\u0105 kluczow\u0105 rol\u0119. Dziel\u0105 si\u0119 na r\u00f3\u017cne kategorie, a zrozumienie ich w\u0142a\u015bciwo\u015bci jest podstaw\u0105 do dalszej nauki. W tej lekcji skupimy si\u0119 na trzech rodzajach liczb:<\/p>\n\n\n\n
1. Liczby naturalne<\/strong><\/p>\n\n\n Liczby naturalne to liczby ca\u0142kowite nieujemne, kt\u00f3rych u\u017cywamy do liczenia i porz\u0105dkowania element\u00f3w. 0, 1, 2, 3, 4, 5, …<\/p>\n\r\n<\/div>\n\n Jest ich niesko\u0144czenie wiele. 2. Liczby pierwsze<\/strong><\/p>\n\n\n Liczba pierwsza to liczba naturalna wi\u0119ksza od 1, kt\u00f3ra ma dok\u0142adnie dwa dzielniki (liczby, przez kt\u00f3re dzieli si\u0119 bez reszty): 1 i sam\u0105 siebie.<\/p>\n\r\n<\/div>\n\n 2, 3, 5, 7, 11, 13, 17, 19, …<\/p>\n\r\n<\/div>\n\n Liczba 2 jest najmniejsz\u0105 i jedyn\u0105 parzyst\u0105 liczb\u0105 pierwsz\u0105. 3. Liczby z\u0142o\u017cone<\/strong><\/p>\n\n\n Liczba z\u0142o\u017cona to liczba naturalna wi\u0119ksza od 1, kt\u00f3ra nie jest liczb\u0105 pierwsz\u0105, czyli ma wi\u0119cej ni\u017c dwa dzielniki.<\/p>\n\r\n<\/div>\n\n 4, 6, 8, 9, 10, 12, 14, 15, …<\/p>\n\r\n<\/div>\n\n Ka\u017cda liczba z\u0142o\u017cona mo\u017ce by\u0107 roz\u0142o\u017cona na iloczyn liczb pierwszych. 0 i 1 nie jest ani liczb\u0105 pierwsz\u0105 ani z\u0142o\u017con\u0105.<\/p>\n\r\n<\/div>\n\n\n Podsumowanie<\/strong><\/p>\n\n\n\n W matematyce liczby odgrywaj\u0105 kluczow\u0105 rol\u0119. Dziel\u0105 si\u0119 na r\u00f3\u017cne kategorie, a zrozumienie ich w\u0142a\u015bciwo\u015bci jest podstaw\u0105 do dalszej nauki. W tej lekcji skupimy si\u0119 na trzech rodzajach liczb: 1. Liczby naturalne 2. Liczby pierwsze 3. Liczby z\u0142o\u017cone Podsumowanie<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[106],"tags":[],"class_list":["post-1","post","type-post","status-publish","format-standard","hentry","category-matematyka"],"_links":{"self":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/1","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/comments?post=1"}],"version-history":[{"count":3,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/1\/revisions"}],"predecessor-version":[{"id":565,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/1\/revisions\/565"}],"wp:attachment":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/media?parent=1"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/categories?post=1"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/tags?post=1"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\r\nLiczby naturalne<\/span><\/h3>\r\n
\nZbi\u00f3r liczb naturalnych oznaczamy symbolem \\(N\\).<\/p>\n\r\n<\/div>\n\nPrzyk\u0142ad<\/span><\/h4>\r\n
\r\nW\u0142a\u015bciwo\u015bci<\/span><\/h3>\r\n
\nNajmniejsz\u0105 liczb\u0105 naturaln\u0105 jest 0.<\/p>\n\r\n<\/div>\n\n\n\r\nLiczba pierwsza<\/span><\/h3>\r\n
Przyk\u0142ad<\/span><\/h4>\r\n
\r\nW\u0142a\u015bciwo\u015bci<\/span><\/h3>\r\n
\nIstnieje niesko\u0144czenie wiele liczb pierwszych.
\nKa\u017cda liczba naturalna wi\u0119ksza od 1 mo\u017ce by\u0107 przedstawiona jako iloczyn liczb pierwszych (rozk\u0142ad na czynniki pierwsze).<\/p>\n\r\n<\/div>\n\n\n\r\nLiczba z\u0142o\u017cona<\/span><\/h3>\r\n
Przyk\u0142ad<\/span><\/h4>\r\n
\r\nW\u0142a\u015bciwo\u015bci<\/span><\/h3>\r\n
\nNajmniejsz\u0105 liczb\u0105 z\u0142o\u017con\u0105 jest 4.<\/p>\n\r\n<\/div>\n\n\r\nWyj\u0105tki<\/span><\/h3>\r\n
\n