{"id":3207,"date":"2011-10-11T10:40:27","date_gmt":"2011-10-11T07:40:27","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=3207"},"modified":"2011-10-11T10:40:27","modified_gmt":"2011-10-11T07:40:27","slug":"rasyonel-sayilar-ve-ozellikleri","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/rasyonel-sayilar-ve-ozellikleri\/","title":{"rendered":"Rasyonel say\u0131lar ve \u00f6zellikleri"},"content":{"rendered":"<p>1-RASYONEL SAYILAR VE \u00d6ZELL\u0130KLER\u0130<br \/>\n A)Rasyonel Say\u0131lar:Birbirine denk olan kesirlerin meydana getirdi\u011fi her k\u00fcmeye rasyonel say\u0131 denir.Rasyonel say\u0131lar\u0131n meydana getirdi\u011fi k\u00fcmelere rasyonel say\u0131lar k\u00fcmesi denir.Rasyonel say\u0131lar k\u00fcmesi \u201cQ\u201d ile g\u00f6sterilir.<\/p>\n<p>NOT:Her tam say\u0131 rasyonel say\u0131 olarak yaz\u0131labilir.<br \/>\n \u00d6R:<br \/>\n Yandaki \u015fekilde,bir b\u00fct\u00fcn 4 e\u015f par\u00e7aya<br \/>\n b\u00f6l\u00fcnm\u00fc\u015f ve bu e\u015f pa\u00e7alardan \u00fc\u00e7 tanesi . taranm\u0131\u015ft\u0131r.<\/p>\n<p> 3<br \/>\n 4 <\/p>\n<p> Taral\u0131 b\u00f6lge,b\u00fct\u00fcn\u00fcn \u00fc\u00e7 tane par\u00e7as\u0131(kesri)dir.Bu par\u00e7alar\u0131 belirten kesir, 3 bi\u00e7iminde g\u00f6sterilir.<br \/>\n 4<br \/>\n 3 kesrinde; 3\u2019e pay,4\u2019e payda denir: 3 kesri, \u201c\u00fc\u00e7 b\u00f6l\u00fc d\u00f6rt\u201d ya da \u201cd\u00f6rtte \u00fc\u00e7\u201d diye okunur.<\/p>\n<p> NOT: s\u0131f\u0131rdan b\u00fcy\u00fck olan rasyonel say\u0131lara pozitif rasyonel say\u0131lar, s\u0131f\u0131rdan k\u00fc\u00e7\u00fck rasyonel say\u0131lar da negatif rasyonel say\u0131lar denir.<\/p>\n<p> Pozitif rasyonel say\u0131lar k\u00fcmesi \u201cQ+\u201dile g\u00f6sterilir. Negatif rasyonel say\u0131lar k\u00fcmesi\u201dQ-\u201cile g\u00f6sterilir.<\/p>\n<p> Q = Q- U {0} U Q+<\/p>\n<p> -1-<br \/>\n B)Rasyonel Say\u0131lar\u0131 Kar\u015f\u0131la\u015ft\u0131rma (b\u00fcy\u00fckl\u00fck ,k\u00fc\u00e7\u00fckl\u00fck)<br \/>\n 1-Paydalar\u0131 e\u015fit olan rasyonel say\u0131lar:<br \/>\n Paydalar\u0131 e\u015fit olan pozitif rasyonel say\u0131larda pay\u0131 b\u00fcy\u00fck olan daha b\u00fcy\u00fck,pay\u0131 k\u00fc\u00e7\u00fck olan daha k\u00fc\u00e7\u00fckt\u00fcr. <\/p>\n<p> \u00d6R: 15 , 7 , 3 3 7 15<br \/>\n 20 20 20 20 20 20<\/p>\n<p> Paydalar\u0131 e\u015fit olan negatif rasyonel say\u0131lar pozitifin tam tersidir.Pay\u0131 b\u00fcy\u00fck olan negatif rasyonel say\u0131lar k\u00fc\u00e7\u00fck,pay\u0131 k\u00fc\u00e7\u00fck olan negatif rasyonel say\u0131lar b\u00fcy\u00fckt\u00fcr.<br \/>\n \u00d6R: 15 , 7 , 3 15 7 3<br \/>\n 20 20 20 20 20 20<\/p>\n<p> 2-Paylar\u0131 e\u015fit olan rasyonel say\u0131lar:<br \/>\n Paylar\u0131 e\u015fit olan pozitif rasyonel say\u0131larda paydas\u0131 k\u00fc\u00e7\u00fck olan daha b\u00fcy\u00fck, paydas\u0131 b\u00fcy\u00fck olan daha k\u00fc\u00e7\u00fckt\u00fcr.<\/p>\n<p> \u00d6R: 7 , 7 , 7 7 7 7<br \/>\n 9 5 3 3 5 9<\/p>\n<p> Paylar\u0131 e\u015fit olan negatif rasyonel say\u0131lar pozitifin tam tersidir.Paydas\u0131 b\u00fcy\u00fck olan negatif rasyonel say\u0131lar b\u00fcy\u00fck paydas\u0131 k\u00fc\u00e7\u00fck olan negatif rasyonel say\u0131lar k\u00fc\u00e7\u00fckt\u00fcr.<\/p>\n<p> \u00d6R: 7 , 7 , 7 7 7 7<br \/>\n 9 5 3 9 5 3<\/p>\n<p> 3-Pay\u0131 ve paydalar\u0131 farkl\u0131 olan rasyonel say\u0131lar:<br \/>\n Pay\u0131 ve paydalar\u0131 farkl\u0131 olan rasyonel say\u0131larda pay paydaya b\u00f6l\u00fcnerek s\u0131ralama yap\u0131l\u0131r.<br \/>\n \u00d6R: 18 , 7 , 48 18:3=6 48 7 18<br \/>\n 3 4 57 7:4=1,75 57 4 3<br \/>\n 48:57=0,84 <\/p>\n<p> -2- <\/p>\n<p> Arada olma<br \/>\n \u0130ki rasyonel say\u0131 aras\u0131na bir yada birka\u00e7 rasyonel say\u0131 yerle\u015ftirmeye denir.<br \/>\n \u00d6R: 2 ile 4<br \/>\n 3 5<\/p>\n<p> I.YOL: 2 4 II:YOL:2 4 III.YOL: 1 2 4<br \/>\n 3 5 3 5 2 3 5<br \/>\n 2 <\/p>\n<p> 1 2 4 1 10 12 1 22 22<br \/>\n 2 3 5 2 15 15 2 15 30<\/p>\n<p> \u00d6R: 5 ile 7 1 5 7 1 15 14<br \/>\n 4 6 2 4 6 2 12 12<\/p>\n<p> 1 29 29<br \/>\n 2 12 24 <\/p>\n<p> 5 29 7<br \/>\n 4 24 6<br \/>\n C-\u0130rrasyonel say\u0131lar:<br \/>\n Say\u0131 do\u011frusu \u00fczerinde g\u00f6r\u00fcnt\u00fcs\u00fc olmas\u0131na kar\u015f\u0131n,rasyonel olmayan<br \/>\n gibi say\u0131lara irrasyonel say\u0131lar denir.\u0130rrasyonel say\u0131lar\u0131n olu\u015fturdu\u011fu k\u00fcmeye irrasyonel say\u0131lar k\u00fcmesi denir.<br \/>\n Ger\u00e7ek (reel) say\u0131lar k\u00fcmesi:Rasyonel say\u0131lar k\u00fcmesi ile irrasyonel say\u0131lar\u0131n birle\u015fim k\u00fcmesine ger\u00e7ek (reel) say\u0131lar k\u00fcmesi denir.Ger\u00e7ek<br \/>\n say\u0131lar k\u00fcmesi ,say\u0131 ekseninin her noktas\u0131n\u0131 doldurur.Say\u0131 do\u011frusu \u00fczerinde her noktaya bir ger\u00e7ek say\u0131 her ger\u00e7ek say\u0131ya da bir nokta kar\u015f\u0131l\u0131k gelir.<br \/>\n Ger\u00e7ek say\u0131lar k\u00fcmesi,\u201dR\u201d sembol\u00fc ile g\u00f6sterilir.<br \/>\n -3- <\/p>\n<p>2-RASYONEL SAYILARDA TOPLAMA \u0130\u015eLEM\u0130<\/p>\n<p> a)Ayn\u0131 i\u015faretli iki rasyonel say\u0131n\u0131n toplama i\u015flemi<br \/>\n Ayn\u0131 i\u015faretli iki rasyonel say\u0131n\u0131n toplama i\u015flemi yap\u0131l\u0131rken ,rasyonel say\u0131lar\u0131n paydalar\u0131 e\u015fit de\u011filse ,paydalar e\u015fitlenir.Paylar\u0131n mutlak de\u011ferleri toplam\u0131 paya yaz\u0131l\u0131r.Ortak payda,paydaya yaz\u0131l\u0131r.toplananlar\u0131n ortak i\u015fareti,toplama ,i\u015faret olarak verilir.<\/p>\n<p> Tam say\u0131l\u0131 kesirler toplan\u0131rken ,bu kesirler bile\u015fik kesre \u00e7evrilerek toplama i\u015flemi yap\u0131l\u0131r.<\/p>\n<p> \u00d6R: +3 +7 +3 +35 +3 +38<br \/>\n 5 1 5 35 3 5<\/p>\n<p> b)Ters i\u015faretli iki rasyonel say\u0131n\u0131n toplama i\u015flemi<br \/>\n Ters i\u015faretli iki rasyonel say\u0131n\u0131n toplama i\u015flemi yap\u0131l\u0131rken, rasyonel say\u0131lar\u0131n paydalar\u0131 e\u015fit de\u011filse e\u015fitlenir.paylar\u0131n mutlak de\u011ferleri fark\u0131 al\u0131n\u0131r,paya yaz\u0131l\u0131r.Ortak payda ,paydaya yaz\u0131l\u0131r.toplam olan rasyonel say\u0131n\u0131n i\u015fareti ise,mutlak de\u011feri b\u00fcy\u00fck olan rasyonel say\u0131n\u0131n i\u015faretidir.<\/p>\n<p> \u00d6R: 1 2 1 20 24 15<br \/>\n 3 5 4 60 60 60<\/p>\n<p> +20+24+(-15)<br \/>\n 60<\/p>\n<p> +44+(-15)<br \/>\n 60<\/p>\n<p> 29<br \/>\n 60<\/p>\n<p> -4-<br \/>\n3-RASYONEL SAYILAR K\u00dcMES\u0130NDE TOPLAMA<br \/>\n \u0130\u015eLEM\u0130N\u0130N \u00d6ZELL\u0130KLER\u0130<\/p>\n<p> a)Kapal\u0131l\u0131k \u00f6zelli\u011fi:\u0130ki rasyonel say\u0131n\u0131n toplam\u0131 , yine bir rasyonel say\u0131d\u0131r.Yani rasyonel say\u0131lar k\u00fcmesi toplama i\u015flemine g\u00f6re kapal\u0131d\u0131r.<\/p>\n<p> \u00d6R: &#8211; 2 + 2 -4 +2 -2<br \/>\n 3 6 6 6 6 <\/p>\n<p> b)De\u011fi\u015fme \u00f6zelli\u011fi:Rasyonel say\u0131lar k\u00fcmesinde,toplama i\u015fleminin de\u011fi\u015fme \u00f6zelli\u011fi vard\u0131r.<\/p>\n<p> \u00d6R: -4 +1 -8 +7 -1<br \/>\n 7 2 14 14 14<\/p>\n<p> +1 -4 +7 -8 -1<br \/>\n 2 7 14 14 14<\/p>\n<p> -4 +1 +1 &#8211; 4<br \/>\n 7 2 2 7<\/p>\n<p> c)Birle\u015fme \u00f6zelli\u011fi:rasyonel say\u0131lar k\u00fcmesinde toplama i\u015fleminin birle\u015fme \u00f6zelli\u011fi vard\u0131r.<\/p>\n<p> \u00d6R: 4 3 1 4 4 8<br \/>\n 5 5 5 5 5 5<\/p>\n<p> 4 3 1 7 1 8<br \/>\n 5 5 5 5 5 5<\/p>\n<p> 4 3 1 4 3 1<br \/>\n 5 5 5 5 5 5<\/p>\n<p> -5-<br \/>\n d)Etkisiz (birim) eleman \u00f6zelli\u011fi:\u201d0\u201dtam say\u0131s\u0131na,rasyonel say\u0131lar k\u00fcmesinde toplama i\u015fleminin etkisiz (birim )eleman\u0131 denir.<br \/>\n \u00d6R: -7 -7 -7 -7<br \/>\n 9 9 9 9<\/p>\n<p> buna g\u00f6re;<\/p>\n<p> -7 -7<br \/>\n 9 9 <\/p>\n<p> e)Ters eleman \u00f6zelli\u011fi:Toplamlar\u0131 \u201c0\u201dtam say\u0131s\u0131na e\u015fit olan iki rasyonel say\u0131ya toplama i\u015flemine g\u00f6re birbirinin tersi denir.<\/p>\n<p> \u00d6R: +5 -5<br \/>\n 20 20<\/p>\n<p> -5 +5<br \/>\n 20 20<\/p>\n<p>4-RASYONEL SAYILARDA \u00c7IKARMA \u0130\u015eLEM\u0130<br \/>\n \u0130ki rasyonel say\u0131n\u0131n fark\u0131 bulunurken,eksilen rasyonel say\u0131,\u00e7\u0131kan rasyonel say\u0131n\u0131n toplama i\u015flemine g\u00f6re tersi ile toplan\u0131r.<\/p>\n<p> \u00d6R: +3 +1 +3 -1 +18 -5 +13<br \/>\n 5 6 5 6 30 30 30<\/p>\n<p> \u00d6R: +7 +5 +7 +25<br \/>\n 10 2 10 10<\/p>\n<p> +7 -25 -18<br \/>\n 10 10 10<\/p>\n<p> -6-<\/p>\n<p> Yukar\u0131da verilen \u00f6rne\u011fe g\u00f6re iki rasyonel say\u0131n\u0131n fark\u0131,yine bir rasyonel say\u0131d\u0131r.Buna g\u00f6re ;<br \/>\n Rasyonel say\u0131lar k\u00fcmesi \u00e7\u0131karma i\u015flemine g\u00f6re kapal\u0131d\u0131r.<\/p>\n<p>5-RASYONEL SAYILARDA \u00c7ARPMA \u0130\u015eLEM\u0130<br \/>\n \u0130ki rasyonel say\u0131n\u0131n \u00e7arpma i\u015flemi paylar\u0131n \u00e7arp\u0131m\u0131 paya,paydalar\u0131n \u00e7arp\u0131m\u0131 paydaya yaz\u0131larak yap\u0131l\u0131r.<\/p>\n<p>NOT:Ayn\u0131 i\u015faretli iki rasyonel say\u0131n\u0131n \u00e7arp\u0131m\u0131 pozitif , ters i\u015faretli iki rasyonel say\u0131n\u0131n \u00e7arp\u0131m\u0131 ise negatif bir rasyonel say\u0131d\u0131r.<br \/>\n Yani:<br \/>\n + x + = +<br \/>\n &#8211; x &#8211; = +<br \/>\n &#8211; x + = &#8211;<br \/>\n + x &#8211; = &#8211;<\/p>\n<p> \u00d6R: -4 +3 (-4)x(+3) -12<br \/>\n 1 4 1 x 4 4<\/p>\n<p>NOT:Tam say\u0131l\u0131 kesir bi\u00e7minde verilen rasyonel say\u0131lar \u00e7arp\u0131l\u0131rken \u00f6nce tam say\u0131l\u0131 kesirler bile\u015fik kesre \u00e7evrilir.Sonra \u00e7arpma i\u015flemi yap\u0131l\u0131r.<\/p>\n<p>6-RASYONEL SAYILAR K\u00dcMES\u0130NDE \u00c7ARPMA<br \/>\n \u0130\u015eLEM\u0130N\u0130N \u00d6ZELL\u0130KLER\u0130<br \/>\n a)Kapal\u0131l\u0131k \u00f6zelli\u011fi:<br \/>\n \u0130ki rasyonel say\u0131n\u0131n \u00e7arp\u0131m\u0131 yine bir rasyonel say\u0131d\u0131r.Yani rasyonel say\u0131lar k\u00fcmesi \u00e7arpma i\u015flemine g\u00f6re kapal\u0131d\u0131r. <\/p>\n<p> \u00d6R: +3 -2 -6<br \/>\n 4 3 12<\/p>\n<p> -7-<br \/>\n b)De\u011fi\u015fme \u00f6zelli\u011fi:<br \/>\n Rasyonel say\u0131lar k\u00fcmesinde \u00e7arpma i\u015fleminin de\u011fi\u015fme \u00f6zelli\u011fi vard\u0131r.<\/p>\n<p> \u00d6R: -19 -1 +19<br \/>\n 20 3 60<\/p>\n<p> -1 -19 -19<br \/>\n 3 20 60<\/p>\n<p> c)Birle\u015fme \u00f6zelli\u011fi:<br \/>\n Rasyonel say\u0131lar k\u00fcmesinde \u00e7arpma i\u015fleminin de\u011fi\u015fme \u00f6zelli\u011fi vard\u0131r.<br \/>\n \u00d6R: +3 -2 +1 -6 +1 -6<br \/>\n 1 3 5 3 5 15<\/p>\n<p> +3 -2 +1 +3 -2 -6<br \/>\n 1 3 5 1 15 15<\/p>\n<p> d)Yutan eleman:<br \/>\n Bir rasyonel say\u0131n\u0131n \u201c0\u201dsay\u0131s\u0131 ile \u00e7arp\u0131m\u0131 \u201c0\u201dd\u0131r.\u201d0\u201dsay\u0131s\u0131na ,\u00e7arpma i\u015fleminin yutan eleman\u0131 denir.<\/p>\n<p> \u00d6R: -7 -7<br \/>\n 9 9<\/p>\n<p> e)Etkisiz birim eleman:<br \/>\n +1 rasyonel say\u0131s\u0131na, \u00e7arpma i\u015flemine g\u00f6re etkisiz (birim) eleman denir.<\/p>\n<p> \u00d6R: +4 +4 +4 +4<br \/>\n 3 3 3 3<\/p>\n<p> -8-<br \/>\n f)Ters eleman:<br \/>\n \u00c7arp\u0131mlar\u0131 +1 olan iki rasyonel say\u0131ya \u00e7arpma i\u015flemine g\u00f6re tersi denir.<\/p>\n<p> \u00d6R: +2 +3 2 x 3 +1<br \/>\n 3 2 3 x 2 1<\/p>\n<p> g)\u00c7arpma i\u015fleminin toplama i\u015flemi \u00fczerine da\u011f\u0131lma \u00f6zelli\u011fi:<br \/>\n Rasyonel say\u0131lar k\u00fcmesinde , \u00e7arpma i\u015fleminin toplama i\u015flemi \u00fczerine da\u011f\u0131lma \u00f6zelli\u011fi vard\u0131r.<\/p>\n<p> \u00d6R: +1 +2 +1 +1 +3 +3<br \/>\n 2 4 4 2 4 8<\/p>\n<p> +1 +2 +1 +1 +2 +1 +1<br \/>\n 2 4 4 2 4 2 4<\/p>\n<p> +2 1 +3<br \/>\n 8 8 8<\/p>\n<p> h)\u00c7arpma i\u015fleminin \u00e7\u0131karma i\u015flemi \u00fczerine da\u011f\u0131lma \u00f6zelli\u011fi:<br \/>\n Rasyonel say\u0131lar k\u00fcmesinde , \u00e7arpma i\u015fleminin \u00e7\u0131karma i\u015flemi \u00fczerine da\u011f\u0131lma \u00f6zelli\u011fi vard\u0131r.<br \/>\n \u00d6R: 1 2 1 1 1 1<br \/>\n 2 4 4 2 4 8<\/p>\n<p> 1 2 1 1 2 1 1<br \/>\n 2 4 4 2 4 2 4<\/p>\n<p> 2 1<br \/>\n 8 8<\/p>\n<p> 1<br \/>\n 8<\/p>\n<p> -9-<br \/>\n7-RASYONEL SAYILARDA B\u00d6LME \u0130\u015eLEM\u0130<br \/>\n \u0130ki rasyonel say\u0131n\u0131n b\u00f6lme i\u015flemi yap\u0131l\u0131rken, b\u00f6l\u00fcnene rasyonel say\u0131 , b\u00f6len rasyonel say\u0131n\u0131n \u00e7arpma i\u015flemine g\u00f6re tersi ile \u00e7arp\u0131l\u0131r.Elde edilen \u00e7arp\u0131m b\u00f6l\u00fcm\u00fc verir.<br \/>\n NOT:Ayn\u0131 i\u015faretli iki rasyonel say\u0131n\u0131n b\u00f6l\u00fcm\u00fc pozitif;ters i\u015faretli ki rasyonel say\u0131n\u0131n b\u00f6l\u00fcm\u00fc ise negatif bir rasyonel say\u0131d\u0131r.<\/p>\n<p> Yani: + x + = +<br \/>\n &#8211; x &#8211; = +<br \/>\n &#8211; x + = &#8211;<br \/>\n + x &#8211; = &#8211;<\/p>\n<p> \u00d6R: -3 +2 -3 +4 -3<br \/>\n 4 4 4 2 2<\/p>\n<p> +1 tam say\u0131s\u0131n\u0131n , bir rasyonel say\u0131ya b\u00f6l\u00fcnmesinden elde edilen b\u00f6l\u00fcm,b\u00f6len rasyonel say\u0131n\u0131n \u00e7arpma i\u015flemine g\u00f6re tersine e\u015fittir.<\/p>\n<p> \u00d6R: -2 1 -7 -7<br \/>\n 7 1 2 2<\/p>\n<p> (-1)tam say\u0131s\u0131n\u0131n, bir rasyonel say\u0131ya b\u00f6l\u00fcnmesinden elde edilen b\u00f6l\u00fcm b\u00f6len rasyonel say\u0131n\u0131n \u00e7arpma i\u015flemine g\u00f6re tersinin ters i\u015faretlisine e\u015fittir.<\/p>\n<p> \u00d6R: 12 +17 17<br \/>\n 17 12 12<\/p>\n<p> -10-<br \/>\n Bir rasyonel say\u0131n\u0131n , +1 tamsay\u0131s\u0131na b\u00f6l\u00fcnmesinden elde edilen b\u00f6l\u00fcm , rasyonel say\u0131n\u0131n kendisine e\u015fittir.<\/p>\n<p> Bir rasyonel say\u0131n\u0131n,(-1) tamsay\u0131s\u0131na b\u00f6l\u00fcnmesinden elde edilen<br \/>\n b\u00f6l\u00fcm , b\u00f6l\u00fcnen rasyonel say\u0131n\u0131n toplama i\u015flemine g\u00f6re tersine e\u015fittir.<\/p>\n<p>\u00d6R: -2 -2 1 -2 1 -2<br \/>\n 7 7 1 7 1 7<\/p>\n<p>\u00d6R: -2 -2 -1 -2 -1 2<br \/>\n 7 7 1 7 1 7<\/p>\n<p>NOT:S\u0131f\u0131r say\u0131s\u0131n\u0131n , s\u0131f\u0131rdan farkl\u0131 olan her rasyonel say\u0131ya b\u00f6l\u00fcm\u00fc \u201d0\u201d d\u0131r.<\/p>\n<p> Bir rasyonel say\u0131n\u0131n s\u0131f\u0131ra b\u00f6l\u00fcm\u00fc ta\u0131ms\u0131zd\u0131r.<br \/>\n Rasyonel say\u0131lar k\u00fcmesinde b\u00f6lme i\u015fleminde , do\u011fal say\u0131lar ve tam say\u0131lar k\u00fcmesindeki b\u00f6lme i\u015fleminde oldu\u011fu gibi; \u201db\u00f6l\u00fcnen = b\u00f6len x b\u00f6l\u00fcm\u201d ili\u015fkisi vard\u0131r.<\/p>\n<p>NOT:Rasyonel say\u0131lar k\u00fcmesi , b\u00f6lme i\u015flemine g\u00f6re kapal\u0131d\u0131r.<\/p>\n<p>NOT:Rasyonel say\u0131lar k\u00fcmesinde , b\u00f6lme i\u015fleminin de\u011fi\u015fme \u00f6zelli\u011fi yoktur.<\/p>\n<p>NOT:Rasyonel say\u0131lar k\u00fcmesinde , b\u00f6lme i\u015fleminin birle\u015fme \u00f6zelli\u011fi yoktur.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1-RASYONEL SAYILAR VE \u00d6ZELL\u0130KLER\u0130 A)Rasyonel Say\u0131lar:Birbirine denk olan kesirlerin meydana getirdi\u011fi her k\u00fcmeye rasyonel say\u0131 denir.Rasyonel say\u0131lar\u0131n meydana getirdi\u011fi k\u00fcmelere rasyonel say\u0131lar k\u00fcmesi denir.Rasyonel say\u0131lar k\u00fcmesi \u201cQ\u201d ile g\u00f6sterilir. NOT:Her tam say\u0131 rasyonel say\u0131 olarak yaz\u0131labilir. \u00d6R: Yandaki \u015fekilde,bir b\u00fct\u00fcn 4 e\u015f par\u00e7aya b\u00f6l\u00fcnm\u00fc\u015f ve bu e\u015f pa\u00e7alardan \u00fc\u00e7 tanesi . taranm\u0131\u015ft\u0131r. 3 4 Taral\u0131 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1404,1403],"tags":[7444,7388,7443,7441,7214,7440,7442],"class_list":["post-3207","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-birlesme-ozelligi","tag-irrasyonel-sayilar","tag-kapalilik-ozelligi","tag-paylari-esit-olan-rasyonel-sayilar","tag-rasyonel-sayilar","tag-rasyonel-sayilar-ve-ozellikleri","tag-ters-eleman-ozelligi"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3207","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/comments?post=3207"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3207\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3207"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3207"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}