{"id":40186,"date":"2012-12-18T23:36:25","date_gmt":"2012-12-18T21:36:25","guid":{"rendered":"http:\/\/www.sorubak.com\/blog\/?p=40186"},"modified":"2020-03-29T13:57:58","modified_gmt":"2020-03-29T10:57:58","slug":"matematikte-islem-onceligi-nedir-ornekler","status":"publish","type":"post","link":"https:\/\/www.sorubak.com\/blog\/matematikte-islem-onceligi-nedir-ornekler.html","title":{"rendered":"Matematikte i\u015flem \u00f6nceli\u011fi nedir? \u00d6rnekler"},"content":{"rendered":"<h1><strong>Matematikte \u0130\u015flem \u00d6ncelikleri<\/strong><\/h1>\n<ul class=\"bs-shortcode-list list-style-check\">\n<li>Parantez var ise \u00f6nce parantezin d\u0131\u015f\u0131ndaki \u00fcsl\u00fc ifadeler daha sonra parantezin i\u00e7indeki i\u015flemler yap\u0131l\u0131r.<\/li>\n<li>\u00c7arpma ve b\u00f6lme i\u015flemi yap\u0131l\u0131r.<\/li>\n<li>Toplama ve \u00e7\u0131karma i\u015flemi yap\u0131l\u0131r.<\/li>\n<li>\u00c7ok i\u015flemlilerde i\u015flem soldan sa\u011fa do\u011fru yap\u0131l\u0131r.<\/li>\n<\/ul>\n<p><strong>\u00d6rnek olarak:<\/strong><\/p>\n<p><b>1. 3 + (12-8:4):5 = ?<\/b><\/p>\n<p><strong>\u00c7\u00f6z\u00fcm\u00a0<\/strong><\/p>\n<p><b>2. 18 : 6-[2 (5-2)+ 12: 4]+ 1 =?<\/b><\/p>\n<p><strong>\u00c7\u00f6z\u00fcm<\/strong><\/p>\n<p>3 &#8211; [ 2.3 + 3 ] + 1 = 3 &#8211; (9) + 1 = -5\u00a0\u00a0 dir.<\/p>\n<p><b>E\u011fer birden fazla \u00e7arpma\u00a0 veya b\u00f6lme yan yana ise i\u015flem soldan sa\u011fa do\u011fru yap\u0131l\u0131r.<\/b><\/p>\n<p>\u00d6rnek<\/p>\n<p>24 : 6 . 2 =&gt; (<b>24 : 6<\/b>). 2 daha sonra 4 . 2= <b>8<\/b> \u015feklindedir.<\/p>\n<p><strong>\u00d6rnek<\/strong><\/p>\n<p>14&#215;8+(2&#215;4):2<\/p>\n<p><strong>\u00c7\u00f6z\u00fcm<\/strong><\/p>\n<p>parantez varsa \u00f6nce o yap\u0131l\u0131r<\/p>\n<p>-\u00e7arpma ve b\u00f6lme e\u015fit \u00f6ncelikli olup toplama ve \u00e7\u0131karmadan \u00f6nce yap\u0131l\u0131r.<\/p>\n<p>-yukar\u0131dakiler dikkate al\u0131narak i\u015flemler soldan sa\u011fa do\u011fru yap\u0131l\u0131r.<\/p>\n<p>14&#215;8 + (2&#215;4):2<\/p>\n<p>=14&#215;8 + 8:2<\/p>\n<p>=112 + 4<\/p>\n<p>=116<\/p>\n<p><strong>\u00d6rnek<\/strong><\/p>\n<p>(2+6)x5-(3+2)x7=?<\/p>\n<p><strong>\u00c7\u00f6z\u00fcm<\/strong><\/p>\n<p>(8&#215;5)-(5&#215;7)=40-35=5<\/p>\n<h2><strong>De\u011fi\u015fme \u00f6zelli\u011fi ve Birle\u015fme \u00d6zelli\u011fi\u00a0<\/strong><\/h2>\n<p><b>\u00c7arpma i\u015flemi \u201cx\u201d veya \u201c.\u201d sembol\u00fc ile do\u011fal say\u0131lar ise \u201c IN \u201d sembol\u00fc ile g\u00f6sterilir.<\/b><span style=\"font-family: 'times new roman', times; font-size: small; line-height: 1.5;\">\u00a0<\/span><\/p>\n<p>\u00dc\u00e7 do\u011fal say\u0131yla yap\u0131lan bir toplama i\u015fleminde, toplananlar\u0131n herhangi ikisinin birle\u015ftirilerek \u00f6nce toplanmas\u0131, sonucu de\u011fi\u015ftirmez. \u00dc\u00e7 do\u011fal say\u0131n\u0131n \u00e7arp\u0131m\u0131nda, \u00e7arpanlardan herhangi ikisinin birle\u015ftirilerek \u00f6nce \u00e7arp\u0131lmas\u0131 sonucu de\u011fi\u015ftirmez.<\/p>\n<h2><strong>Da\u011f\u0131lma \u00d6zelli\u011fi<\/strong><\/h2>\n<p>\u00c7arpma i\u015fleminin toplama ve \u00e7\u0131karma i\u015flemleri \u00fczerine da\u011f\u0131lma \u00f6zelli\u011fi kullan\u0131larak yap\u0131lan i\u015flemleri inceleyelim:<\/p>\n<p>13 . 21 = 13 . (20 + 1) = 260 + 13 = 273<\/p>\n<p>33 . 29 = 33 . (30-1) = 990 &#8211; 33 =957<\/p>\n<p>Toplama, \u00c7arpma \u0130\u015flemlerinde 1 ve 0<\/p>\n<p>Do\u011fal say\u0131larla toplama i\u015flemi yap\u0131l\u0131rken bir do\u011fal say\u0131n\u0131n \u201c0\u201d ile toplam\u0131nda elde edilen sonu\u00e7, say\u0131n\u0131n kendisine e\u015fittir. Bu y\u00fczden \u201c0\u201d toplama i\u015fleminin etkisiz eleman\u0131d\u0131r.<\/p>\n<p>\u00c7arpma i\u015fleminde ise bir do\u011fal say\u0131n\u0131n \u201c0\u201d ile \u00e7arp\u0131m\u0131 yine \u201c0\u201dd\u0131r. Dolay\u0131s\u0131yla \u201c0\u201d \u00e7arpma i\u015fleminin yutan eleman\u0131d\u0131r. \u201c1\u201d ise \u00e7arpma i\u015fleminin etkisiz eleman\u0131d\u0131r.<\/p>\n<h2><strong>\u00a0 \u0130\u015flem \u00d6nceli\u011fi<\/strong><\/h2>\n<p>Birden fazla i\u015flemin oldu\u011fu durumlarda, hangi i\u015flemin daha \u00f6nce yap\u0131laca\u011f\u0131 ayra\u00e7larla belirtilir. \u0130\u015flem s\u0131ralar\u0131 ayra\u00e7larla belirlenmemi\u015fse \u00f6nce \u00e7arpma veya b\u00f6lme, sonra toplama veya \u00e7\u0131karma i\u015flemleri yap\u0131l\u0131r. Ayn\u0131 \u00f6nceliklere sahip i\u015flemlerde s\u0131ra soldan sa\u011fa do\u011fru takip edilir.<\/p>\n<p>Toplama ile \u00e7\u0131karma ve \u00e7arpma ile b\u00f6lme kendi aras\u0131nda \u00f6ncelik ta\u015f\u0131maz.<\/p>\n<p>\u00d6zellikle \u00e7arpma ile b\u00f6lmede \u00f6ncelik s\u00f6z konusu ise bu, parantezle belirlenir.\u00a0\u00a0\u00a0<strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/strong><\/p>\n<ul>\n<li><a href=\"http:\/\/www.sorubak.com\/6sinif-islem-onceligi-tarama-testi_44179.htm\"><strong>6.S\u0131n\u0131f \u0130\u015flem \u00d6nceli\u011fi Kavrama Testi \u0130ndir \u00a0\u00a0<\/strong>\u00a0\u00a0<\/a>\u00a0\u00a0<strong>\u00a0<\/strong><\/li>\n<li><strong><a href=\"http:\/\/www.sorubak.com\/islem-onceligi-sorulari-6sinif_87281.htm\">6.S\u0131n\u0131f \u0130\u015flem \u00d6ncesi Sorular\u0131<\/a>\u00a0<\/strong><\/li>\n<li><a href=\"http:\/\/www.sorubak.com\/6sinif-dogal-sayilarda-islem-onceligi-testi_47917.htm\"><strong>6.S\u0131n\u0131f \u0130\u015flem \u00d6nceli\u011fi Testi \u0130ndir \u00c7\u00f6z<\/strong><\/a><\/li>\n<\/ul>\n<p><strong>\u00a0ALI\u015eTIRMALAR<\/strong><\/p>\n<p>1-4+8: (6-6:3+4)=\u00a0\u00a04+8: (6-2+4\u00a0)= 4+8: (8)=4+8:8=4+1=5 olur.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<span style=\"font-family: Times New Roman;\">\u00a0<\/span><\/p>\n<p><strong>\u0130\u015eLEM \u00d6NCEL\u0130\u011e\u0130<\/strong><\/p>\n<p>1.\u00a0 \u2013 [- (3 \u2013 9 ) +\u00a0 ( &#8211; 5 + 2 ) \u2013 ( &#8211; 1 + 2 ) =?=<\/p>\n<p>2.\u00a0 \u2013 ( 10 \u2013 4 ) \u2013 [ &#8211; ( 8 \u2013 5 + 1 ) \u2013 7 ] =<\/p>\n<p>3.\u00a0(\u2013 24 ). (\u2013 1)22 \u2013 (+6)2 : (-2) 2 + (- 9).( -5)0\u00a0\u00a0 =?<\/p>\n<p>4.\u00a01 \u2013 [ 2 \u2013 ( 3 \u2013 6 ) \u2013 ( 2 \u2013 5 ) \u2013 1 ] \u00a0=?<\/p>\n<p>5.\u00a0\u2013 [2. ( 15 \u2013 13 ) \u2013 ( 1+8 ) : 3 ]\u00a0 =?<\/p>\n<p>6.\u00a01 \u2013 [ 9 \u2013 18 : 3 \u2013 ( 5 \u2013 8 : 2 )\u00a0 =?<\/p>\n<p>7.\u00a02\u2013 3.{1 \u2013 3.[ 2 \u2013 4 .(4 \u2013 5 )]} =?<\/p>\n<p>8.\u00a0[ (- 2 . 4 + 6 ) . ( -8 + 6 ) . ( -1 + 4)] =?<\/p>\n<p>9.\u00a0 \u2013 {- [ &#8211; ( 1 \u2013 5 + 2 ) \u2013 3 ] + 4 ]\u00a0 =?<\/p>\n<p>10. 2 .(-2 ) . (-1) .{3 ( -2 ) \u2013 [ (-1 ) \u2013 ( -2) + 3] \u2013 7 } =?<\/p>\n<p>11. \u2013 { &#8211; [ &#8211; ( 4 \u2013 3 ) \u2013 2 ] + (2 \u2013 3 )} =?<\/p>\n<p>12. \u2013 { &#8211; [ &#8211; ( -13 ) + 7 } \u2013 [ &#8211; ( &#8211; 3 + 1 )2 ] =?<\/p>\n<p>13. 12 \u2013 5 . { 4 \u2013 [ 3 . (8 \u2013 9) \u2013 2 ]} = ?<\/p>\n<p>14.\u00a0144 : 4 +\u00a0 12 \u2013 ( 12 \u2013 5 ) \u2013 3 (33 \u2013 35 ) =?<\/p>\n<p><span style=\"color: #ff0000;\"><strong><a style=\"color: #ff0000;\" href=\"http:\/\/www.sorubak.com\/sinav\/sinavcoz\/8192\/6-sinif-islem-onceligi-konu-testi-coz-1\">6.S\u0131n\u0131f \u0130\u015flem \u00d6nceli\u011fi Testi \u00c7\u00f6z 1 (Online \u00c7\u00f6z)<\/a><\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matematikte \u0130\u015flem \u00d6ncelikleri Parantez var ise \u00f6nce parantezin d\u0131\u015f\u0131ndaki \u00fcsl\u00fc ifadeler daha sonra parantezin i\u00e7indeki i\u015flemler yap\u0131l\u0131r. \u00c7arpma ve b\u00f6lme i\u015flemi yap\u0131l\u0131r. Toplama ve \u00e7\u0131karma i\u015flemi yap\u0131l\u0131r. \u00c7ok i\u015flemlilerde i\u015flem soldan sa\u011fa do\u011fru yap\u0131l\u0131r. \u00d6rnek olarak: 1. 3 + (12-8:4):5 = ? \u00c7\u00f6z\u00fcm\u00a0 2. 18 : 6-[2 (5-2)+ 12: 4]+ 1 =? \u00c7\u00f6z\u00fcm 3 &#8211; &#8230; <a title=\"Matematikte i\u015flem \u00f6nceli\u011fi nedir? \u00d6rnekler\" class=\"read-more\" href=\"https:\/\/www.sorubak.com\/blog\/matematikte-islem-onceligi-nedir-ornekler.html\" aria-label=\"More on Matematikte i\u015flem \u00f6nceli\u011fi nedir? \u00d6rnekler\">Devam\u0131n\u0131 oku&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[14303],"class_list":["post-40186","post","type-post","status-publish","format-standard","hentry","category-mt","tag-islem-onceligi"],"_links":{"self":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts\/40186","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/comments?post=40186"}],"version-history":[{"count":0,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/posts\/40186\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/media?parent=40186"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/categories?post=40186"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sorubak.com\/blog\/wp-json\/wp\/v2\/tags?post=40186"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}