document1
TRANSCRIPT
![Page 1: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/1.jpg)
Дорноговь Сайншанд
ЕБ-ын 1-р сургууль
• Анги: 5-р анги
• Хичээл:Математик
• Сэдэв:Процент-6цаг
2011-2012
![Page 2: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/2.jpg)
Процентийн тухай
анхны мэдэгдэхүүнтэй
болох, процентийг энгийн
ба аравтын бутархайгаар
илэрхийлж сурах
![Page 3: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/3.jpg)
www.themegallery.com
5. Àíõíû òîîã îëîõ
4. Ïðîöåíòîä õàðãàëçàõ òîîã îëîõ
3. Дүрсийн будагдсан хэсгийг
процентоор илэрхийлэх
2.Процентийг энгийн ба аравтын
бутархайгаар илэрхийлэх
1.Процент гэж юу вэ?
6. Õýäýí ïðîöåíò áîëîõûã îëîõ
Нэгж хичээлийнтөлөвлөлт
![Page 4: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/4.jpg)
1.Процент
гэж юу вэ?
![Page 5: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/5.jpg)
Сэдэцгээе...
![Page 6: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/6.jpg)
Дараах зургуудыг
нэрлээрэй.............
![Page 7: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/7.jpg)
Дараах дүрсүүдийг
нэрлээрэй.............
Дүрс тус
бүрийг
бүтнээр нь
100% гэж
хэлнэ.
![Page 8: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/8.jpg)
![Page 9: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/9.jpg)
Шинэ мөөг 90%,
хатсан мөөг 15% ус
агуулдаг.
Ундааны найрлагын 50%-ийг
сахар эзэлдэг.
Бидний амьдралд
процент ямар
хэрэгтэй вэ?
![Page 10: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/10.jpg)
Бидний амьдралд
процент ямар
хэрэгтэй вэ?Бат тооны хичээл
дээр 85% “В”
үнэлгээ авав.
“Хас” банкны хадгаламжийн хүү
19,2% болсон. Тэнд хадгаламж
нээлгэе........
![Page 11: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/11.jpg)
“Од” компани зарж
байгаа машинаа
20%-иар
хямдруулжээ.
![Page 12: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/12.jpg)
Дүгнэж ярих уу?
![Page 13: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/13.jpg)
![Page 14: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/14.jpg)
Процентийн тухай тогтоож нүдлэх
![Page 15: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/15.jpg)
2.Процентийг энгийн ба
аравтын бутархайгаар
илэрхийлэх
![Page 16: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/16.jpg)
Сэдэцгээе...
![Page 17: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/17.jpg)
Цэрэг адууны 30 %-ийг нь тууж анги руугаа
давхив. Авч явсан адууг энгийн бутархай ба
аравтын бутархайгаар илэрхийл.
![Page 18: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/18.jpg)
![Page 19: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/19.jpg)
Процентийг аравтын
бутархай ба энгийн
бутархайгаар илэрхийлье...
![Page 20: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/20.jpg)
![Page 21: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/21.jpg)
Хэмжигдэхүүний тоон
утгын зууны нэг хэсгийг
1 процент / хувь/ гэнэ. Нэг
процентийг 1% гэж
тэмдэглэнэ.
![Page 22: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/22.jpg)
![Page 23: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/23.jpg)
![Page 24: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/24.jpg)
Тэгвэл энгийн бутархай ба
аравтын бутархайг
процентоор илэрхийлье...
![Page 25: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/25.jpg)
5/9/2012 Free Template from
www.brainybetty.com 2006
25
![Page 26: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/26.jpg)
Үзсэнээ
бататгая...
![Page 27: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/27.jpg)
5/9/2012Free Template from www.brainybetty.com
200627
1. Энгийн ба аравтын бутархайгаар
илэрхийл.
25% 45% 75,2% 3,64%
2. Процентоор илэрхийл.
0,39 0,02 1,75 0,3
![Page 28: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/28.jpg)
• Ñóðàõ áè÷ãèéí ¹627
![Page 29: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/29.jpg)
3. Дүрсийн
будагдсан
хэсгийг
процентоор
илэрхийлэх
![Page 30: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/30.jpg)
Сэдэцгээе...
![Page 31: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/31.jpg)
Болороо охины төрсөн
өдөр болжээ. Тэр бялууныхаа ¼ - ийг идэв.
Тэр бялууны хэдэн
процентийг идсэн бэ?
![Page 32: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/32.jpg)
![Page 33: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/33.jpg)
¼ - идсэн
25
![Page 34: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/34.jpg)
Дараах энгийн бутархайг
процентоор илэрхийл.
![Page 35: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/35.jpg)
Хэмжигдэхүүний 1%-ийг
олох
75000 төг-ийн1%-ийг ол.
75000:100=750 төг /1%-д/
1 кг-ийн 1%-ийг ол.
1:100=0,01 кг /1%-д/
![Page 36: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/36.jpg)
Хэмжигдэхүүний 1%-ийг
олоорой..
500м=500:100=5м
1км=1:100=0,01км
5ц= 5:100=0,05ц
83000 төг=83000:100=830 төг
50кв.м=50:100=0,5кв.м
![Page 37: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/37.jpg)
Үзсэнээ
бататгая...
![Page 38: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/38.jpg)
Будагдсан хэсгийг
процентоор илэрхийл.Будагдсан хэсгийг процентоор
илэрхийл...
![Page 39: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/39.jpg)
Ойн амьтдын 45% нь сүүн тэжээлтэн, 18%-нь жигүүртэн
шувууд, 11,5%-нь усны амьтад байдаг бол бусад амьтад
хэдэн хувийг эзэлдэг вэ? Дээрх процентуудыг энгийн ба
аравтын бутархайгаар илэрхийл.
![Page 40: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/40.jpg)
Үзсэн хичээлээ дүгнэж яриад ойлгосон эсэхээ
сайн бодоорой...
![Page 41: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/41.jpg)
Ïðîöåíòîä õàðãàëçàõ òîîã îëîõ-
4-ð öàã
Ïðîöåíòîä
õàðãàëçàõ òîîã 2
ÿíçààð îëæ, áîäîæ
ñóðàõ
![Page 42: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/42.jpg)
1-ð àðãà:
% õàðãàëçàõ òîîã
îëîõäîî óóë òîîã
ºãºãäñºí %-èàð ¿ðæ¿¿ëæ îëíî.
![Page 43: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/43.jpg)
120-ûí 40%
Òîîíû ºãñºí ïðîöåíòîä
õàðãàëçàõ òîîã îëîîðîé.
48
37500-ûí 8% 3000
24,8-ûí 15% 3,72
75 êã-22% 16,5êã
360 ë-30% 108 ë
![Page 44: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/44.jpg)
2-ð àðãà:
Óã òîîã 100-ä
õóâààæ ïðîöåíòèéí
òîîãîîð ¿ðæ¿¿ëíý.
![Page 45: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/45.jpg)
-ä õàäãàëóóëñàí
æèëèéí õ¿¿ 18% áîë
æèëèéí äàðàà õýäýí
òºãðºã áîëîõ âý?
![Page 46: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/46.jpg)
¹
Õàäãàëóóëñàí Æèëèéí Õ¿¿íä
íîãäîõ
Æèëèéí
ýöýñò
áàéõ
1
2
3
4
10000000¥ 18 % 1800000¥ 11800000¥
560000000¥ 18 % 100800000¥ 660800000¥
15000000¥ 18 % 2700000¥ 17700000¥
850000¥ 18 % 153000¥ 1003000¥
![Page 47: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/47.jpg)
Äàðààõ áîäëîãûã äýýðõ àðãóóäûí
àëü íýãýýð íü ñîíãîí áîäîîðîé.
ªðãºñò õýìõèéí
95% íü óñ áàéäàã
áîë 80 êã ºðãºñò
õýìõýä õýäýí êã óñ
àãóóëàãäàõ âý?
![Page 48: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/48.jpg)
80êã:100=0.8êã
/1%-ä íîãäîõ óñ/
0.8*95=76 êã
/ºðãºñò õýìõýä 76êã óñ àãóóëàãäàíà./
![Page 49: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/49.jpg)
Ãýðò:112 õóóäàñ
¹640,641
¯çñýí 2 àðãààðàà
áîäîîðîé.
![Page 50: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/50.jpg)
ªìíºõèéã äàâòàöãààÿ
![Page 51: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/51.jpg)
Ýëáà äýëã¿¿ð 250000
¥ ¿íýòýé òåëåâèçîðûã
15%,280000 òºãðºãíèé
¿íýòýé óãààëãûí
ìàøèíûã 20%, 420000
òºãðºãíèé ¿íýòýé
õºðãºã èéã 5%
õÿìäðóóëàâ.Öàõèëãààí
áàðààíóóä òóñ á¿ð ÿìàð
¿íýòýé áîëñîí áý?
Òåëåâèçîð-212500¥
Óãààëãûí ìàøèí-224000¥
Õºðãºã -399000¥
![Page 52: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/52.jpg)
Àíõíû òîîã
îëîõ 5-ð öàã
![Page 53: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/53.jpg)
Çîðèëãî:ªãñºí ïðîöåíòîä
íîãäîõ òîîãîîð
àíõíû òîîã îëæ
ñóðàõ
![Page 54: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/54.jpg)
ªãñºí ïðîöåíòîä íîãäîõ
òîîãîîð àíõíû òîîã îëîõäîî óã
òîîã ïðîöåíòûã àðàâòûí
áóòàðõàéä øèëæ¿¿ëñýí
òîîíä õóâààíà.
![Page 55: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/55.jpg)
Ìàòåìàòèêèéí øàëãàëòàíä ñóðàã 17 îíîîãîîð
85% ¿íýëãýý àâ ýý.Øàëãàëòàíä õýäýí îíîî
àâàõ ¸ñòîé áàéñàí áý?
85%=0,85
17:0,85=20
Øàëãàëòàíä àâàõ
¸ñòîé îíîî 20
áàéæýý.
![Page 56: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/56.jpg)
Óõààíûã íü îëáîë
Ó èðã¿é þì
áàéäàãã¿é
![Page 57: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/57.jpg)
ªâñ õàòàõäàà ººðèéí æèíãèéí 32%- èéã
ãýýíý.Õýðýâ ºâñ õàòààä 5ò áà 120ò áîë
ýäãýýð ºâñ àíõ ÿìàð æèíòýé áàéñàí áý?
![Page 58: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/58.jpg)
Ñàðûí öàëèíãèéí
20% áóþó 41000
òºãðºãèéã
õ¿íñýíä
çàðöóóëñàí áîë
õýäýí òºãðºãíèé
öàëèí àâñàí áý?
![Page 59: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/59.jpg)
41000:20=2050¥
(1%ä îíîãäîõ öàëèí)
100∙2050=205000¥
(ñàðûí öàëèí)
Äàäëàãàòàé àæëààñ
Äààìàé ¿ð ãàðëàà.
![Page 60: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/60.jpg)
113õ ¹650,651
![Page 61: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/61.jpg)
![Page 62: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/62.jpg)
Çîðèëãî
Õî¸ð òîîíû íýã íü
íºãººãèéí õýäýí ïðîöåíò
áîëîõûã îëæ ñóðöãààÿ
![Page 63: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/63.jpg)
Õî¸ð òîîíû íýã íü íºãººãèéí
õýäýí ïðîöåíò áîëîõûã
îëîõäîî òýð õî¸ð òîîíûõîî
õàðüöààã (íîãäâîðûã)
100% ààð ¿ðæ¿¿ëíý.
![Page 64: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/64.jpg)
òºãðºã íü òºãðºãíèé
õýäýí
ïðîöåíòòîé
òýíöýõ âý?
¯¿íèéã îëîõûí òóëä 5000 áà 20000-ûí õàðüöààã
100%-èàð ¿ðæ¿¿ëíý.
Èéìä 5000:20000=0,25%
0,25*100=25% (5000 òºãðºã íü 20000
òºãðºãíèé 25% áàéíà.)
![Page 65: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/65.jpg)
Äýì äýìýíäýý
Äýýñ ýð èíäýý
24 íü 25-ûí õýäýí ïðîöåíò áîëîõ âý?
24:25=0,96% 0,96*100=96%
72 íü 48-ûí õýäýí % âý?
72:48=1.5 % 1.5*100=150%
3,6 íü 4,5-ûí õýäýí ïðîöåíò âý?
3,6:4,5=0,8% 0,8*100=80%
![Page 66: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/66.jpg)
Õ¿ñíýãòèéã àæèãëààä íºõººðýé
I
¿ðæèãäýõ¿¿í
1 ïðîöåíòîä îíîãäîõ
òîî
10 75 160
II¿ðæèãäýõ¿¿í
Ïðîöåíò 50% 7% 12% 24%
¯ðæâýð Ïðîöåíòîä
õàðãàëçàõ òîî
35 30 480 368 14,4500
5 40
![Page 67: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/67.jpg)
Äàðààõ àñóóëòàíä
õàðèóëæ
ÿðèëöàöãààÿ.
![Page 68: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/68.jpg)
Ìàíàé àíãèéí
ñóðàã äûí õýäýí
% íü ýìýãòýé
ñóðàã èä âý?
Ìàíàé àíãèéí õýäýí
õóâü íü õè ýýëäýý
èðñýí áý?
Ìàíàé àíãèéí õýäýí % íü
ñàãñàí áºìáºã òîãëîõ
äóðòàé âý?
Ìàíàé àíãèéí õýäýí % íü
òîîíû õè ýýëä èë¿¿
ñîíèðõîëòîé âý?
![Page 69: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/69.jpg)
Ãýðèéí äààëãàâàð
Àæèëñàã áàìáàðóóøèéí öàëèíã
1-ð ñàðä 10% ,3-ð ñàðä 20%-
èàð íýìýãä¿¿ëñýí áîë öàëèíã
àíõíûõààñ õýäýí õóâèàð
íýìýãä¿¿ëñýí áý?
Àÿëàã ÿâàõ çàìûíõàà 65%-èéã
ìàøèíààð,30%-èéã íü ìîðèîð, ¿ëäñýí
çàìûã íü ÿâãàíààð ÿâæýý.Ìàøèíààð
ÿâñàí çàì íü ìîðèîð ÿâñàí çàìààñ 280
êì-ýýð èõ áîë á¿ãä õýäýí êì àÿëñàí
áý?
![Page 70: Document1](https://reader034.vdocuments.site/reader034/viewer/2022051617/559668641a28ab79128b4661/html5/thumbnails/70.jpg)