{"id":157,"date":"2024-08-26T09:47:56","date_gmt":"2024-08-26T09:47:56","guid":{"rendered":"https:\/\/kierunekmatura.pl\/blog\/?p=157"},"modified":"2025-08-01T20:47:58","modified_gmt":"2025-08-01T20:47:58","slug":"wartosc-bezwzgledna","status":"publish","type":"post","link":"https:\/\/kierunekmatura.pl\/blog\/wartosc-bezwzgledna\/","title":{"rendered":"Warto\u015b\u0107 bezwzgl\u0119dna"},"content":{"rendered":"\n<p>Warto\u015b\u0107 bezwzgl\u0119dna<\/p>\n\n\n<div class=\"box-definition2\">\r\n<h3 class=\"box-legend2\"><span>\r\nWarto\u015b\u0107 bezwzgl\u0119dna<\/span><\/h3>\r\n<p>Warto\u015b\u0107 bezwzgl\u0119dna z dowolnej liczby rzeczywistej to jej odleg\u0142o\u015b\u0107 od 0 na osi liczbowej.<\/p>\n\r\n<\/div>\n\n<div class=\"box-example\">\r\n<h4 class=\"box-legend\"><span>Przyk\u0142ad<\/span><\/h4>\r\n<p>\\(|4| = 4\\),<br \/>\n\\(\\ | -10| = 10\\),<br \/>\n\\(\\ \\left| -\\frac{3}{7} \\right| = \\frac{3}{7}\\),<br \/>\n\\(\\sqrt{\\left( \\sqrt{2} \\right)^2} = \\sqrt{2}\\)<\/p>\n\r\n<\/div>\n\n<div class=\"box-note\">\r\n<h3 class=\"box-legend\"><span>\r\nW\u0142a\u015bciwo\u015bci warto\u015bci bezwzgl\u0119dnej<\/span><\/h3>\r\n<p>Warto\u015b\u0107 bezwzgl\u0119dna jest zawsze nieujemna (czyli jest wi\u0119ksza lub r\u00f3wna 0).<\/p>\n\r\n<\/div>\n\n<div class=\"box-example\">\r\n<h4 class=\"box-legend\"><span>Przyk\u0142ad<\/span><\/h4>\r\n<p>\\(\\sqrt{3^2} = |3| = 3\\),<br \/>\n\\(\\sqrt{(-3)^2} = | -3| = 3\\)<\/p>\n\r\n<\/div>\n\n<div class=\"box-important\">\r\n<h3 class=\"box-legend\"><span>\r\nZapami\u0119taj<\/span><\/h3>\r\n<p>\\( \\sqrt{a^2} = |a|\\)<\/p>\n\r\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Warto\u015b\u0107 bezwzgl\u0119dna<\/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-157","post","type-post","status-publish","format-standard","hentry","category-matematyka"],"_links":{"self":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/157","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=157"}],"version-history":[{"count":2,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/157\/revisions"}],"predecessor-version":[{"id":539,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/posts\/157\/revisions\/539"}],"wp:attachment":[{"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/media?parent=157"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/categories?post=157"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kierunekmatura.pl\/blog\/wp-json\/wp\/v2\/tags?post=157"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}