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cours de mathématiques http://maths-videos.com - niveau collège - quatrième - 4ème -
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5/12/2018 ordre et opérations (4ème) - slidepdf.com
http://slidepdf.com/reader/full/ordre-et-operations-4eme-55a35c061cb87 1/3
g~~s1**xxx+me~g|-tfnbj|+ljm 5
Jrnrb b~ Jsære~fjk|F& Fkæheif~æ|) bklenrbmbk~| 1
Nædfkf~fjk 1 kb fkæheif~æ ljmserb nbw kjmorb| ã i‖efnb nb| |vmojib| ' ;) 9) ≢) ≮&
\vmojib e 9 o e ; o e ≢ o e ≮ o
\fhkfdfle~fjk e b|~ |~rfl~bmbk~fkdærfbr ã o
e b|~ |~rfl~bmbk~|særfbr ã o
e b|~ |særfbr j æhei ã o
e b|~ fkdærfbr j æhei ã o
Bw 1 >)2 9 7 b|~ kb fkæheif~æ
e ; > |fhkfdfb ub e b|~ |~rfl~bmbk~ |særfbr ã >
w ≢ “ > |fhkfdfb ub w b|~ |særfbr j æhei ã “ >
\jf~ w) k kjmorb rbie~fd 1
w b|~ |~rfl~bmbk~ sj|f~fd sb~ |‖ælrfrb w ; 3
w b|~ |~rfl~bmbk~ kæhe~fd sb~ |‖ælrfrb w 9 3
w b|~ sj|f~fd sb~ |‖ælrfrb w ≢ 3
w b|~ kæhe~fd sb~ |‖ælrfrb w ≮ 3
Nædfkf~fjk 1 e) o) w næ|fhkbk~ ~rjf| kjmorb| rbie~fd|+
e 9 w 9
o |fhkfdfb w
b|~ ljmsrf| bk~rb e b~ o °jk nf~ ub w b|~ bklenræ bk~rb e b~ o
e ≮ w ≮ o |fhkfdfb w b|~ ljmsrf| bk~rb e b~ o °
e ≮ w 9 o |fhkfdfb w b|~ ljmsrf| bk~rb e b~ o °
e9
w ≮
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b|~ ljmsrf| bk~rb e b~ o °
o “ e b|~ i‖emsif~nb nb i‖bklenrbmbk~ nb w
Bw 1 |jf~ i‖bklenrbmbk~ nb w |ftek~ 1 ?)<2 ≮ w 9 ?)42
I‖emsif~nb nb i‖bklenrbmbk~ b|~ ?)42 “ ?)<2 = 3)<3
e kb sb~ se| á~rb æhei ã > %
w sb~ á~rb æhei ã“
> %
>)2 b|~ ib srbmfbr mbmorb nb i‖fkæheif~æ 0 7 ib nbwfçmb %
flf) w kb sb~ se| á~rb
æhei ã e j ã o %
flf) w sb~ á~rb æhei ã e
j ã o %
flf) w sb~ á~rb æhei ã e
e| ã o %
flf) w sb~ á~rb æhei ã ose| ã e %
5/12/2018 ordre et opérations (4ème) - slidepdf.com
http://slidepdf.com/reader/full/ordre-et-operations-4eme-55a35c061cb87 2/3
g~~s1**xxx+me~g|-tfnbj|+ljm ?
FF& ^rjkle~rb b~ errjknf| n‖k kjmorb sj|f~fd 1
Nædfkf~fjk 1 Defrb ie ~rjkle~rb n‖ k kjmorb nælfmei ã k rekh njkkæ) l‖b|~ ljsbr ib kjmorb ã lb rekh b~ hernbr ~j| ib| lgfddrb| a|u‖e rekh+
Bw 1 ie ~rjkle~rb nb 4)87 e nfwfçmb b|~ 4)8
ie ~rjkle~rb nb 28 e lbk~fçmb b|~ 3)85
Nædfkf~fjk 1 Errjknfr k kjmorb nælfmei l‖b|~ njkkbr |e teibr ie si| srjlgb nb iesrælf|fjk næ|fræb+
Bw 1
Ab tbw errjknfr k kjmorb ã i‖kf~æ srç| 1\f a‖errjknf| 7)8 0 i‖errjknf |bre 6 '7)8 b|~ si| srç| nb 6 ub nb 7&\f a‖errjknf| 7)4 0 i‖errjknf |bre 6 '7)4 b|~ si| srç| nb 6 ub nb 7&\f a‖errjknf| 7)> 0 i‖errjknf |bre 7 '7)> b|~ si| srç| nb 7 ub nb 6&
Ab tbw errjknfr 2)87<26 e lbk~fçmb srç| 1
I‖errjknf nb lb kjmorb e lbk~fçmb srç| '? lgfddrb| esrç| ie tfrhib& b|~ 2)87+
Ab tbw errjknfr 2)87<26 e mfiifçmb srç| 1
I‖errjknf nb lb kjmorb e mfiifçmb srç| b|~ 2)87>
FFF& Ljmseref|jk b~ |fhkb n‖kb nfddærbklb 1
Srjsrfæ~æ 1 e b~ o næ|fhkbk~ nbw kjmorb| rbie~fd|
\f e ; o eijr| e “ o ; 3 \f e “ o ; 3 eijr| e ; o
\f e 9 o eijr| e “ o 9 3 \f e “ o 9 3 eijr| e 9 o
Bw 1 “ 6 9 58 sf|ub “ 6 “ 58 9 3
2 1 8 = 3)85>?++ %°
Ab lgjf|f| 7 ler fi v etef~ < esrç| ib 7%
E~~bk~fjk) |f a‖errjknf| 7)2 0 i‖errjknf |bre 6 %) l‖b|~ ie rçhib enjs~æb %%
Ab lgjf|f| > ler fi v etef~ 2 esrç| ib <%
Bk bddb~) “?4 9 3 %%
\jf~ ib kjmorb 4)8<2+ 4)8< j 4)8> |jk~ nb| teibr|nb lb kjmorb etbl kb srælf|fjk n‖k lbk~fçmb+
5/12/2018 ordre et opérations (4ème) - slidepdf.com
http://slidepdf.com/reader/full/ordre-et-operations-4eme-55a35c061cb87 3/3
g~~s1**xxx+me~g|-tfnbj|+ljm <
FT& Jrnrb b~ jsære~fjk| 1
▱ jrnrb b~ ennf~fjk - jrnrb b~ |j|~rel~fjk 1
\jfbk~ e) o) l ~rjf| kjmorb| rbie~fd|
\f e ; o eijr| e + l ; o + l
\f e ; o eijr| e “ l ; o “ l
Bw 1
> 9 6 njkl > + < 9 6 + <
\jf~ e k kjmorb rbie~fd ~bi ub e “ 52 ≮ “? Jk e njkl 1 e “ 52 + 52 ≮ “? + 52 njkl e ≮ 5<
▱ jrnrb b~ mi~fsifle~fjk 1
e) o) l næ|fhkbk~ ~rjf| kjmorb| rbie~fd|- |f l ; 3 \f e ; o eijr| el ; ol
- |f l 9 3 \f e ; o eijr| el 9 ol
Bw 1
\jf~ “ > 9“ <) jk e “ > w 7 9“ < w 7 njkl “ <? 9 “ ?>
\jf~ i‖fkæheif~æ 2 w ≢ “53) jk e 2 w w52 ≢ “53 w
52
njkl w ≢ “?
\jf~ “ > 9“ <) jk e “ > w '“7& ; “ < w '“7& njkl <? ; ?>
\jf~ e “6
9 2) jk e e-6
w ' & “6 ; 2 w ' & “6 njkle ; “ >2
Ie srjsrfæ~æ rb|~b teieoibetbl ib |vmojib 9 %%%
Mi~fsifbr ser 52) lbie rbtfbk~ ã nftf|br ser 2 %%%
i‖jrnrb b|~ fktbr|æ ler ab mi~fsifbser k kjmorb kæhe~fd %%%
Bk bddb~) 8 9 5? %%
el b~ ol |jk~ rekhæ| nek| ib mámb jrnrb ub e b~ o %
el b~ ol |jk~ rekhæ| nek| i‖ jrnrb ljk~refrb nb e b~ o %