{"id":3144,"date":"2011-10-06T14:15:03","date_gmt":"2011-10-06T11:15:03","guid":{"rendered":"http:\/\/www.islamidavet.com\/kutuphane\/\/?p=3144"},"modified":"2011-10-06T14:15:03","modified_gmt":"2011-10-06T11:15:03","slug":"oran-oranti","status":"publish","type":"post","link":"https:\/\/www.islamidavet.com\/kutuphane\/oran-oranti\/","title":{"rendered":"Oran-Orant\u0131"},"content":{"rendered":"

ORAN: Ayn\u0131 birimle \u00f6l\u00e7\u00fclen iki \u00e7oklu\u011fun birbirine b\u00f6l\u00fcm\u00fcne oran denir.Oran birimsiz bir say\u0131d\u0131r.
\n\u00d6RNEKLER
\n1. Aydan`\u0131n paras\u0131 100.000 TL 1
\n\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = \u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = \u2014\u2014\u2014
\nZeynep`in paras\u0131 200.000 TL 2 <\/p>\n

2. 3 m 3 7 kg 7 5 cm 5
\n\u2014\u2014\u2014\u2014 = \u2014\u2014 , \u2014\u2014\u2014\u2014 = \u2014\u2014 , \u2014\u2014\u2014\u2014 = \u2014\u2014\u2014 gibi
\n5 m 5 9 kg 9 7 cm 5 <\/p>\n

ORANTI:\u0130ki oran\u0131n e\u015fitli\u011fine orant\u0131 denir. <\/p>\n

\u00d6RNEKLER
\n1. i\u00e7ler
\na c \uf024 \uf024
\n\u2014\u2014 = \u2014\u2014 orant\u0131s\u0131nda ; a : b = c : d g\u00f6sterir.
\nb d \uf023 \uf023
\nd\u0131\u015flar <\/p>\n

2. 3 9
\n\u2014\u2014 ve \u2014\u2014 oranlar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131ral\u0131m.
\n5 15 <\/p>\n

3 9 9 : 3 3 3 9
\n\u2014\u2014 \u2014\u2014 = \u2014\u2014\u2014 = \u2014\u2014 \u2014\u2014 = \u2014\u2014 \uf022 Orant\u0131
\n5 15 15 : 5 5 5 15 <\/p>\n

i\u00e7ler i\u00e7ler
\n3 9
\n\u2014\u2014 = \u2014\u2014 \u21d2 3 : 5 = 9 : 15
\n5 15
\nd\u0131\u015flar
\nORANTININ \u00d6ZELL\u0130KLER\u01301.
\n\u0130\u00e7ler \u00e7arp\u0131m\u0131 d\u0131\u015flar \u00e7arp\u0131m\u0131na e\u015fittir. <\/p>\n

3 9 3 \u00d7 15 = 9 \u00d7 5
\n\u2014\u2014 \u2014\u2014
\n5 15 45 45 <\/p>\n

\u00d6RNEK – 1
\n4 16
\n\u2014\u2014 ve \u2015\u2015 oranlar\u0131 bir orant\u0131 olu\u015fturur mu ?
\n5 20<\/p>\n

\u00c7\u00d6Z\u00dcM
\n\u0130ki oran\u0131n i\u00e7ler \u00e7arp\u0131m\u0131 d\u0131\u015flar \u00e7arp\u0131m\u0131na e\u015fit ise orant\u0131 olu\u015fturur.
\n4 16
\n\u2014\u2014 \u2014\u2014
\n5 20<\/p>\n

4 \u00d7 20 = 5 \u00d7 16
\n80 = 80 o halde <\/p>\n

4 16
\n\u2014\u2014 = \u2014\u2014 orant\u0131d\u0131r.
\n5 20<\/p>\n

\u00d6RNEK – 2
\n7 11
\n\u2014\u2014 ve \u2014\u2014 oranlar\u0131 bir orant\u0131 olu\u015fturur mu ?
\n8 30<\/p>\n

\u00c7\u00d6Z\u00dcM
\n\u0130\u00e7ler \u00e7arp\u0131m\u0131 d\u0131\u015flar \u00e7arp\u0131m\u0131na e\u015fit ise orant\u0131 olu\u015fturur.
\n7 11
\n\u2014\u2014 \u2014\u2014
\n8 30<\/p>\n

7 \u00d7 30 \u2260 8 \u00d7 11
\n210 \u2260 88 o halde<\/p>\n

7 11
\n\u2015\u2015 \u2260 \u2015\u2015 orant\u0131 de\u011fildir.
\n8 30<\/p>\n

2.Oranlar\u0131n tersleri al\u0131nabilir.<\/p>\n

a c b d
\n\u2015\u2015 \u2015\u2015 \u21d2 \u2015\u2015 \u2015\u2015
\nb d a c<\/p>\n

3.\u0130\u00e7ler veya d\u0131\u015flar yerde\u011fi\u015ftirebilir.<\/p>\n

a c a b
\n\u2014\u2014 \u2014\u2014 \u21d2 \u2014\u2014 \u2014\u2014
\nb d c d<\/p>\n

4.Bir orant\u0131da paylar\u0131n toplam\u0131 ( veya fark\u0131) paya , paydalar\u0131n toplam\u0131 ( veya
\nfark\u0131 ) paydaya yaz\u0131l\u0131rsa oran de\u011fi\u015fmez.<\/p>\n

a c a + c a – c
\n\u2014\u2014 = \u2014\u2014 = k ise \u2014\u2014\u2014\u2014 = k \u2014\u2014\u2014\u2014 = k
\nb d b + c b – d <\/p>\n

B\u0130L\u0130NMEYEN TER\u0130M\u0130 BULMAK\u00d6RNEK – 1
\n4 \u25b2
\n\u2014\u2014 = \u2014\u2014 orant\u0131s\u0131nda \u25b2 yerine hangi say\u0131 gelmelidir ?
\n5 35
\n1.\u00c7\u00d6Z\u00dcM
\n4 4 \u00d7 7 28
\n\u2014\u2014 = \u2014\u2014\u2014\u2014 = \u2014\u2014\u2014 O halde \u25b2 = 28 olmal\u0131d\u0131r.
\n5 5 \u00d7 7 35<\/p>\n

2.\u00c7\u00d6Z\u00dcM
\n4 \u25b2
\n\u2014\u2014 \u2014\u2014 ( \u0130\u00e7ler ve d\u0131\u015flar \u00e7arp\u0131m\u0131 uygulan\u0131r.)
\n5 35 <\/p>\n

5 \u00d7 \u25b2 = 4 \u00d7 35
\n5 \u00d7 \u25b2 = 140 ( \u00c7arpman\u0131n ters i\u015flemi b\u00f6lmedir.)
\n\u25b2 = 140 : 5 = 28<\/p>\n

\u00d6RNEK – 2
\n32 8
\n\u2014\u2014 = \u2014\u2014 orant\u0131s\u0131nda \u25a0 yerine hangi say\u0131 gelmelidir ?
\n40 \u25a0 <\/p>\n

1.\u00c7\u00d6Z\u00dcM
\n32 32 : 4 8
\n\u2014\u2014 = \u2014\u2014\u2014\u2014 = \u2014\u2014 O halde \u25a0 = 10 olmald\u0131r.
\n40 40: 4 10<\/p>\n

2.\u00c7\u00d6Z\u00dcM
\n32 8
\n\u2014\u2014 \u2014\u2014 ( \u0130\u00e7ler ve d\u0131\u015flar \u00e7arp\u0131m\u0131 uygulan\u0131r.)
\n40 \u25a0<\/p>\n

32 \u00d7 \u25a0 = 40 \u00d7 8
\n32 \u00d7 \u25a0 = 320 ( \u00c7arpman\u0131n ters i\u015flemi b\u00f6lmedir.)
\n\u25a0 = 320 : 32 = 10<\/p>\n

ORANTILI \u00c7OKLUKLAR
\nOrant\u0131l\u0131 \u00e7okluklar , do\u011fru orant\u0131l\u0131 ve ters orant\u0131l\u0131 \u00e7okluklar olmak \u00fczere iki \u00e7e\u015fittir.
\n1.DO\u011eRU ORANTILI \u00c7OKLUKLAR
\nAyn\u0131 t\u00fcr \u00e7okluklar birlikte azal\u0131r ve \u00e7o\u011fal\u0131rsa orant\u0131 do\u011frudur denir.<\/p>\n

azal\u0131r
\nekmek (adet) 1 2 3 \u00e7o\u011fal\u0131r
\npara (TL) 35.000 70.000 105.000 \u00e7o\u011fal\u0131r
\nazal\u0131r<\/p>\n

Ekmek ve para \u00e7oklu\u011fu birlikte azal\u0131p birlikte \u00e7o\u011fald\u0131klar\u0131 i\u00e7in do\u011fru orant\u0131l\u0131 \u00e7okluklard\u0131r.<\/p>\n

\u00d6RNEK – 1
\n4 ekmek 140.000 TL olursa 9 ekmek ka\u00e7 TL olur ?
\nA) 300.000 B) 310.000
\nC) 315.000 D) 400.000<\/p>\n

\u00c7\u00d6Z\u00dcM
\n4 ekmek 140.000 TL olursa<\/p>\n

9 ekmek ? TL olur <\/p>\n

D.O.
\n9 \u00d7 140.000
\n? = \u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = 315.000 TL
\n4
\nCEVAP : C
\n\u00d6RNEK – 2
\nBir kamyon 4 saatte 360 km yol giderse ayn\u0131 h\u0131zla 7 saatte ka\u00e7 km yol gider ?
\nA) 600 B) 630 C) 635 D) 640
\n\u00c7\u00d6Z\u00dcM
\n4 saatte 360 km giderse<\/p>\n

7 saatte ? km gider<\/p>\n

D.O. 90
\n7 \u00d7 360
\n? = \u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = 630 km
\n4
\n1 CEVAP : B<\/p>\n

\uf0d8 UYARI
\nOrant\u0131da ayn\u0131 cins \u00e7okluklar alt alta yaz\u0131lmal\u0131d\u0131r.<\/p>\n

2.TERS ORANTILI \u00c7OKLUKLAR
\nAyn\u0131 t\u00fcr \u00e7okluklardan biri azal\u0131rken , di\u011feri \u00e7o\u011fal\u0131yorsa veya biri \u00e7o\u011fal\u0131rken , di\u011feri azal\u0131yorsa ; b\u00f6yle \u00e7okluklara ters orant\u0131l\u0131 \u00e7okluklar denir.<\/p>\n

Azal\u0131yor Art\u0131yor<\/p>\n

\u0130\u015f\u00e7i say\u0131s\u0131 1 2 3 4 6 8 12 24
\nZaman ( g\u00fcn ) 24 12 8 6 4 3 2 1<\/p>\n

Art\u0131yor Azal\u0131yor <\/p>\n

Tabloda g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi ; i\u015f\u00e7i say\u0131s\u0131n\u0131n art\u0131\u015f\u0131na ba\u011fl\u0131 olarak , i\u015fin bitirilme s\u00fcresi
\n( g\u00fcn say\u0131s\u0131 ) azalmaktad\u0131r. Bir ba\u015fka deyi\u015fle ; i\u015f\u00e7i say\u0131s\u0131 azal\u0131rken , i\u015fin bitirilme s\u00fcresi artmaktad\u0131r<\/p>\n

\u00d6RNEK – 1
\nBir i\u015fi 6 i\u015f\u00e7i 15 g\u00fcnde yaparsa 9 i\u015f\u00e7i ka\u00e7 g\u00fcnde yapar ? <\/p>\n

\u00c7\u00d6Z\u00dcM
\n6 i\u015f\u00e7i 15 g\u00fcnde yaparsa<\/p>\n

9 i\u015f\u00e7i ? g\u00fcnde yapar <\/p>\n

T.O.
\n6 \u00d7 15
\n? = \u2014\u2014\u2014\u2014\u2014 = 10 g\u00fcnde yapar .
\n9<\/p>\n","protected":false},"excerpt":{"rendered":"

ORAN: Ayn\u0131 birimle \u00f6l\u00e7\u00fclen iki \u00e7oklu\u011fun birbirine b\u00f6l\u00fcm\u00fcne oran denir.Oran birimsiz bir say\u0131d\u0131r. \u00d6RNEKLER 1. Aydan`\u0131n paras\u0131 100.000 TL 1 \u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = \u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014\u2014 = \u2014\u2014\u2014 Zeynep`in paras\u0131 200.000 TL 2 2. 3 m 3 7 kg 7 5 cm 5 \u2014\u2014\u2014\u2014 = \u2014\u2014 , \u2014\u2014\u2014\u2014 = \u2014\u2014 , \u2014\u2014\u2014\u2014 = \u2014\u2014\u2014 gibi 5 m 5 …<\/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":[7362],"class_list":["post-3144","post","type-post","status-publish","format-standard","hentry","category-matematik-odevleri","category-odevler","tag-oran-oranti"],"_links":{"self":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3144","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=3144"}],"version-history":[{"count":0,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/posts\/3144\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/media?parent=3144"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/categories?post=3144"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.islamidavet.com\/kutuphane\/wp-json\/wp\/v2\/tags?post=3144"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}