{"id":1061,"date":"2014-03-14T08:47:44","date_gmt":"2014-03-14T07:47:44","guid":{"rendered":"http:\/\/sosexcel.com\/exceltippek\/?p=1061"},"modified":"2021-05-05T15:47:39","modified_gmt":"2021-05-05T13:47:39","slug":"mi-a-muveletek-sorrendje-es-mikor-kell-zarojelet-hasznalni","status":"publish","type":"post","link":"https:\/\/sosexcel.com\/exceltippek\/mi-a-muveletek-sorrendje-es-mikor-kell-zarojelet-hasznalni\/","title":{"rendered":"Mi a m\u0171veletek sorrendje, \u00e9s mikor kell z\u00e1r\u00f3jelet haszn\u00e1lni?"},"content":{"rendered":"<p>Egy matematikai k\u00e9pletben nem balr\u00f3l jobbra kell haladni (mint az \u00edr\u00e1sn\u00e1l, olvas\u00e1sn\u00e1l), hanem <strong>el\u0151sz\u00f6r mindig a&nbsp;magasabb rend\u0171 m\u0171veleteket<\/strong>, vagyis az oszt\u00e1st \u00e9s szorz\u00e1st kell&nbsp;elv\u00e9gezni.&nbsp;<span style=\"font-size: 16px; line-height: 1.71429;\">Abban az esetben, ha m\u00e9gis az \u00f6sszead\u00e1st, kivon\u00e1st&nbsp;akarod hamarabb kisz\u00e1m\u00edtani, z\u00e1r\u00f3jelet kell haszn\u00e1lnod.<\/span><!--more--><\/p>\n<h2>Mi a m\u0171veletek sorrendje?<\/h2>\n<p><span style=\"font-weight: 600;\">A<\/span>z oszt\u00e1s \u00e9s szorz\u00e1s&nbsp;magasabb rend\u0171 m\u0171velet, mint az \u00f6sszead\u00e1s \u00e9s a kivon\u00e1s. Ezt csak a z\u00e1r\u00f3jel \u00edrja fel\u00fcl.<\/p>\n<p><img decoding=\"async\" class=\"alignleft wp-image-1067\" style=\"border: 1px solid grey;\" src=\"https:\/\/sosexcel.com\/exceltippek\/wp-content\/uploads\/2014\/03\/calculator-300x199.jpg\" alt=\"A matematik\u00e1ban fontos a m\u0171veletek sorrendje, mert m\u00e1s lehet a v\u00e9geredm\u00e9ny, ha z\u00e1r\u00f3jel is szerepel.\" width=\"240\" height=\"160\">P\u00e9ld\u00e1ul 3 + 2 x 4 eset\u00e9n el\u0151bb a szorz\u00e1st kell elv\u00e9gezni (8), \u00edgy a v\u00e9geredm\u00e9ny (3+8) 11 lesz.<\/p>\n<p>Teljesen m\u00e1s lesz az eredm\u00e9ny z\u00e1r\u00f3jellel (3 + 2) x 4 = 5 x 4 = 20<\/p>\n<p>Egyenrang\u00fa m\u0171veletekn\u00e9l viszont&nbsp;balr\u00f3l jobbra kell haladni, de itt is haszn\u00e1lhatsz z\u00e1r\u00f3jelet, ha valamit hamarabb szeretn\u00e9l kisz\u00e1m\u00edtani. P\u00e9ld\u00e1ul:<\/p>\n<p style=\"text-align: center;\">12 \/ 4 x 3 = 3 x 3 = 9,&nbsp;de&nbsp;12 \/ (4 x 3) = 12 \/ 12 = 1,<\/p>\n<p style=\"text-align: center;\">vagy 10 &#8211; 6 + 2 = 6, de&nbsp;10 &#8211; (6 + 2) = 10 &#8211; 8 = 2<\/p>\n<p>Az Excel pontosan tudja a matekot, \u00e9s mindig helyesen (az \u00e1ltalad megadott m\u00f3don), vagyis a m\u0171veletek sorrendje szerint sz\u00e1mol.<\/p>\n<p><strong>\u00c9rdekess\u00e9g<\/strong>: a szorz\u00e1sn\u00e1l magasabb rend\u0171 a hatv\u00e1nyoz\u00e1s (Excelben <b class=\"ocpUI\">^ <\/b>a jele, pl =B2<b class=\"ocpUI\">^<\/b>3), \u00e9s az \u00f6sszead\u00e1s-kivon\u00e1s ut\u00e1n j\u00f6n az \u00f6sszehasonl\u00edt\u00e1s, azaz&nbsp;<a href=\"https:\/\/sosexcel.com\/exceltippek\/excel-muveletek\/\">logikai m\u0171velet<\/a>&nbsp;(melynek jelei &lt;,&gt;,=).<\/p>\n<h2>Felesleges z\u00e1r\u00f3jelek<\/h2>\n<p>Van, akit megnyugtatnak a z\u00e1r\u00f3jelek, \u00edgy ak\u00e1r&nbsp;feleslegesen is haszn\u00e1lja \u0151ket. P\u00e9ld\u00e1ul, ha a boltban 2 liter tejet \u00e9s 4 zseml\u00e9t veszel, akkor el\u00e9g ezt \u00edrnod:<\/p>\n<p style=\"text-align: center;\">2 x 300 + 4 x 15<\/p>\n<p>Ha a szorz\u00e1sokat z\u00e1r\u00f3jelezed, az nem &#8222;baj&#8221;. Sem a m\u0171veletek sorrendje, sem az eredm\u00e9ny nem v\u00e1ltozik meg, viszont 4 karaktert \u00edrsz pluszba.<\/p>\n<h2>Hol vannak a m\u0171veleti jelek a billenty\u0171zeten?<\/h2>\n<p>A m\u0171veleti jeleket megtal\u00e1lod a numerikus billenty\u0171zeten, jobb&nbsp;oldalt vannak. Ha azonban ez hi\u00e1nyzik a g\u00e9pedr\u0151l, akkor itt tal\u00e1lod:<\/p>\n<ul>\n<li>az \u00f6sszead\u00e1s&nbsp;(+) a Shift 3,<\/li>\n<li>a kivon\u00e1s (-) a jobb oldali Shift melletti k\u00f6t\u0151jel.<\/li>\n<li>Ugyanez a billenty\u0171 (k\u00f6t\u0151jel) az AltGr billenty\u0171vel lenyomva a szorz\u00e1s (*). (Vagyis nem a pont vagy az x.)<\/li>\n<li>Az oszt\u00e1s&nbsp;(\/) pedig a Shift 6 billenty\u0171. (Vagyis perjel \u00e9s nem kett\u0151spont!)<\/li>\n<li>A z\u00e1r\u00f3jeleket a Shift 8 \u00e9s 9 gombon&nbsp;tal\u00e1lod.<\/li>\n<\/ul>\n<h2>Excel k\u00e9pletek &#8211; \u00edgy sz\u00e1molj az Excellel<\/h2>\n<p>Ha m\u00e9g teljesen idegen T\u0151led az Excel, akkor <a href=\"http:\/\/exceltitok.hu\/excel-alapok\/\">kezdd az alapokkal<\/a>.<\/p>\n<p>Az Excelt ugyan\u00fagy haszn\u00e1lhatod, mint a sz\u00e1mol\u00f3g\u00e9pet.<\/p>\n<p>A m\u0171velet megkezd\u00e9s\u00e9hez az egyenl\u0151s\u00e9gjelet (=) haszn\u00e1ld, ami&nbsp;a Shift 7 kombin\u00e1ci\u00f3. Azonban ha numerikus billenty\u0171zeted van,&nbsp;akkor ezt egyszer\u0171s\u00edtheted \u00e9s haszn\u00e1lhatod a plusz (+) jelet.&nbsp;Ebben az esetben az Excel felismeri a sz\u00e1m\u00edt\u00e1st, \u00e9s ut\u00f3lag ki\u00edrja az egyenl\u0151s\u00e9gjelet.<\/p>\n<p>Ezut\u00e1n ugyan\u00edgy \u00edrd be a sz\u00e1m\u00edt\u00e1st, mint ahogy a sz\u00e1mol\u00f3g\u00e9pbe. Az Excel el\u0151nye, hogy a m\u00e1r ber\u00f6gz\u00edtett adatokat nem kell \u00fajra beg\u00e9pelned, hanem &#8222;hivatkozhatsz&#8221; arra a cell\u00e1ra, amiben szerepel.<\/p>\n<p>Itt tal\u00e1lsz b\u0151vebb le\u00edr\u00e1sokat \u00e9s p\u00e9ld\u00e1kat:<\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"mmnuuQVXlg\"><p><a href=\"https:\/\/sosexcel.com\/exceltippek\/gyorsabb-kepletezes\/\">Gyorsabb k\u00e9pletez\u00e9s: itt is haszn\u00e1lj billenty\u0171zetet!<\/a><\/p><\/blockquote>\n<p><iframe class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;Gyorsabb k\u00e9pletez\u00e9s: itt is haszn\u00e1lj billenty\u0171zetet!&#8221; &#8212; Azonnal haszn\u00e1lhat\u00f3 Excel tippek\" src=\"https:\/\/sosexcel.com\/exceltippek\/gyorsabb-kepletezes\/embed\/#?secret=WgXGjJhwqu#?secret=mmnuuQVXlg\" data-secret=\"mmnuuQVXlg\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"mCyUTwd0Ek\"><p><a href=\"https:\/\/sosexcel.com\/exceltippek\/excel-feladat-megoldas-formazas-6\/\">Alap szint\u0171 Excel feladat megold\u00e1sa l\u00e9p\u00e9sr\u0151l-l\u00e9p\u00e9sre<\/a><\/p><\/blockquote>\n<p><iframe class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;Alap szint\u0171 Excel feladat megold\u00e1sa l\u00e9p\u00e9sr\u0151l-l\u00e9p\u00e9sre&#8221; &#8212; Azonnal haszn\u00e1lhat\u00f3 Excel tippek\" src=\"https:\/\/sosexcel.com\/exceltippek\/excel-feladat-megoldas-formazas-6\/embed\/#?secret=HC54Ml4QTa#?secret=mCyUTwd0Ek\" data-secret=\"mCyUTwd0Ek\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"tMivtxkoR5\"><p><a href=\"https:\/\/sosexcel.com\/exceltippek\/szazalekszamitas-excelben\/\">Sz\u00e1zal\u00e9ksz\u00e1m\u00edt\u00e1s Excelben egy p\u00e9ld\u00e1n kereszt\u00fcl<\/a><\/p><\/blockquote>\n<p><iframe class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;Sz\u00e1zal\u00e9ksz\u00e1m\u00edt\u00e1s Excelben egy p\u00e9ld\u00e1n kereszt\u00fcl&#8221; &#8212; Azonnal haszn\u00e1lhat\u00f3 Excel tippek\" src=\"https:\/\/sosexcel.com\/exceltippek\/szazalekszamitas-excelben\/embed\/#?secret=Qa8E9yOXQQ#?secret=tMivtxkoR5\" data-secret=\"tMivtxkoR5\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><\/p>\n\n","protected":false},"excerpt":{"rendered":"<p>Egy matematikai k\u00e9pletben nem balr\u00f3l jobbra kell haladni (mint az \u00edr\u00e1sn\u00e1l, olvas\u00e1sn\u00e1l), hanem el\u0151sz\u00f6r mindig a&nbsp;magasabb rend\u0171 m\u0171veleteket, vagyis az oszt\u00e1st \u00e9s szorz\u00e1st kell&nbsp;elv\u00e9gezni.&nbsp;Abban az esetben, ha m\u00e9gis az \u00f6sszead\u00e1st, kivon\u00e1st&nbsp;akarod hamarabb kisz\u00e1m\u00edtani, z\u00e1r\u00f3jelet kell haszn\u00e1lnod.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","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":"default","adv-header-id-meta":"","stick-header-meta":"default","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 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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":[102,1],"tags":[35,42],"class_list":["post-1061","post","type-post","status-publish","format-standard","hentry","category-excel-tablazat-keszitese","category-excel-tippek-gyakori-kerdesek","tag-szamolas","tag-tudatosan"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mi a m\u0171veletek sorrendje, \u00e9s mikor kell z\u00e1r\u00f3jelet haszn\u00e1lni? - Azonnal haszn\u00e1lhat\u00f3 Excel tippek<\/title>\n<meta name=\"description\" content=\"Mi a m\u0171veletek sorrendje? Egy matematikai k\u00e9pletben nem balr\u00f3l jobbra kell haladni, hanem el\u0151sz\u00f6r mindig a magasabb rend\u0171 m\u0171veleteket kell elv\u00e9gezni.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sosexcel.com\/exceltippek\/mi-a-muveletek-sorrendje-es-mikor-kell-zarojelet-hasznalni\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mi a m\u0171veletek sorrendje, \u00e9s mikor kell z\u00e1r\u00f3jelet haszn\u00e1lni? - Azonnal haszn\u00e1lhat\u00f3 Excel tippek\" \/>\n<meta property=\"og:description\" content=\"Mi a m\u0171veletek sorrendje? 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