Modul i Love Mathematics Bergambar 1m 2m 3m

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog < @ka ]clalh < blriln < Pljln < bghuhjuiilh sg`uln plplh tlhfl . < blriln Vuaksilh hcb`cr pgrpuaunlh `grkiut flalb pgriltllh Pljln < 0 Pljln 0 klaln sg`uln plplh tlhfl . < blriln Vuaksilh lhoil `grkiut flalb pgriltllh Pljln 0 = Pljln = bghuhjuiilh sg`uln jlb fkhfkho. Jlrub bkhkt tkfli fktuhjuiilh. < blriln Pljln = Auiks jlrub bkhkt plfl buil jlb fkhfkho ylho bghuhjuiilh jlb 46<4. 04.4= 6?< >=0

Transcript of Modul i Love Mathematics Bergambar 1m 2m 3m

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <

@ka ]clalh < blriln

< Pljln < bghuhjuiilh sg`uln plplh tlhfl . < blrilnVuaksilh hcb`cr pgrpuaunlh `grkiut flalb pgriltllh

Pljln <

0 Pljln 0 klaln sg`uln plplh tlhfl . < blrilnVuaksilh lhoil `grkiut flalb pgriltllh

Pljln 0

=Pljln = bghuhjuiilh sg`uln jlb fkhfkho. Jlrub bkhkt tkfli fktuhjuiilh.

< blriln

Pljln =

Auiks jlrub bkhkt plfl buil jlb fkhfkho ylho bghuhjuiilh jlb 46<4.

04.4=

6?< >=0

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0

6Pljln 6 bghuhjuiilh sltu `choiln < blriln

Pljln 6

Hyltlilh `kalholh pgrbuillh sltln `choil ktu.

7 Pljln 7 bghuhjuiilh pgtli-pgtli sgokgbplt ylho slbl `gslr. < blriln

Pljln 7

Vuaksilh hcb`cr `grmlbpur flalb `ghtui tgrbufln ylho fkwlikak ilwlslh`gracrgi.

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog =

Vujun puaun rk`u akbl rltus

ful

5Pljln 5 bghuhjuiilh tkhook `uhol ylho fktlhlb cagn Buakb. < blriln

@grlpl tkhook `uhol ktu , flalb b3

? Vuaksilh lhoil `lok ylho `grkiut. < blriln

> Vuaksilh flalb pgriltllh `lok pgmlnlh wljlr `grkiut: < blriln

?

7

 

< b

0 b

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 6

; Pljln ; bghuhjuiilh krrk-mkrk sg`uln `ghtui = bltrl. < blriln)

Pljln ;

Hlblilh `ghtui = bltrl ktu.

<4 Pljln <4 bghuhjuiilh `grlt `lok 0 `uln `uiu mgrktl. < blriln

Pljln <4Hyltlilh `grlt 0 `uln `uiu mgrktl tgrsg`ut, flalb io.

@kalholh buil sltln 2 <

@kalholh `umu 2 <

@kalholh bgaghoiuho 2 <

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 7

<< @uhflrilh ylho hcb`cr pgrpuaunlh `grkiut igplfl 0 tgbplt pgrpuaunlh.

< blriln

<0 Pljln <0 bghuhjuiilh sg`uln `ualtlh ylho fk`lnlokilh igplfl ̀ g`grlpl

`lnloklh ylho slbl `gslr.

Pljln <0

Vuaksilh flalb pgriltllh pgmlnlh ylho bgwlikak ilwlslh ylho `gracrgi .

< blriln

<= Pljln <= bghuhjuiilh sgigpkho hcb`cr. < blriln

Pljln <=Hyltlilh hkalk fkoktk > flalb hcb`cr `grkiut.

<>.;57

<> 76;

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 5

<6 Pljln <6 bghuhjuiilh sltu ilf hcb`cr < blriln

Vuaksilh hkalk tgbplt `lok fkokt ? `lok hcb`cr ylho `grkiut.

<7 Pljln <7 bghuhjuiilh sltu olrks hcb`cr. < blriln

4 >

7

  ] <Pljln <7

 Lpliln hkalk ]3

<5 Pljln <5 bghuhjuiilh wlitu ualhoiljk pgaljlrlh ]lakbln plfl wlitu blalb.

Pljln <5

Vuaksilh wlitu tgrsg`ut flalb skstgb 06 jlb.

< blriln

76 ?=;

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog ?

<? Pljln <? bghuhjuiilh sg`uln iu`ckf. < blriln

Pljln <?

@grlpliln `kalholh buil sltln `lok iu`ckf tgrsg`ut.

<>Vuilrilh

<44

>< igplfl pgrpuaunlh. < blriln

<; Vuilrilh ylho `grkiut igplfl hcb`cr `grmlbpur. < blriln

04 Pljln 04 bghuhjuiilh sg`uln skakhfgr ylho `grksk lkr. < blriln

@grlpliln kskplfu lkr , flalb ba

0.445

<444ba

Pljln 04

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog >

]clalh 0 blriln

<Vuilrilh

6

= jlb igplfl bkhkt. 0 blriln

0 ]gagslkilh ylho `grkiut 0 blriln

= 0 blriln

6 Pljln fk `lwln bghuhjuiilh `grlt `lflh Lak . 0 blriln

Hyltlilh ?4% flrkplfl `grlt `lflh Lak, flalb orlb .

<7  ” 0.;7 2

>5io

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog ;

<0 Pljln 7 bghuhjuiilh jkskb = `uln `liua `uln-`ulnlh. 0 blriln

7.6io <674o 4.?>4io

Pljln <0

Mlrkilh jubaln jkskb sgbul `liua `uln-`ulnlh , flalb io.

50 blriln

?0 blriln

=

0

=

<6  

0 756 x ? 2

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <4

> 0 blriln

; Pljln ; bghuhjuiilh kskplfu ful `kilr lkr. 0 blriln

Pljln ;

@grlpliln jubaln kskplfu lkr, flalb b 3

<4 0 blriln6; 6=0 ÿ 6 2

<>.5  ” 7.4402

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <<

<<0 blriln

Mlrk sgakskn lhtlrl ful igacbpci hkalk wlho fk ltls.

<0 0 blrilnPB <5 + 077 sgh -PB 7.07 2

<= 0 blriln05 67= + 0<7  ” 0 ?>7 2

PB <4

PB <44

74

PB 74

PB <4

PB <

74

04

-

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <0

<60 blriln

<7

Pljln <7 bghuhjuiilh pgtli-pgtli sgok gbplt slbl ylho slbl `gslr. 0 blriln

Pljln <7

Auiksilh sg`uln sgok tkol slbl ilik plfl pgtli-pgtli sgok gbplt slbl fk ltls

; nlrk x 7 2 SSSSSbkhoou SSSS nlrk

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <=

<5 Pljln <5 bghuhjuiilh ilaghfgr `ualh Jlhulrk . 0 blriln

Pljln <5

Hyltlilh `kalholh nlrk `grbual flrk ?.4<.04<= nkhool <5.4<.04<=.

<? Pljln <? bghuhjuiilh nlrol sg`uln `go tlholh . 0 blriln

Pljln <?

Tctcholh <0% fkighlilh igplfl `go tlholh fkltls. @grlpliln nlrol `lru `go tlholhtgrsg`ut.

PB 074

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <6

<> Pljln <> bghuhjuiilh pgalh `lok sg`uln tlblh pgrblkhlh.

=mb

>mb

<?mb

Pljln <>

Nktuhoilh pgrkbgtgr , flalb mb , pgalh tgrsg`ut.

<; ]gagslkilh ylho `grkiut:

<4> ->6 ÿ =2

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <7

04 Pljln 04 bghuhjuiilh gbplt ilf hcb`cr . 0 blriln

Pljln 04

Nktuhoilh purltl gbplt hcb`cr tgrsg`ut

56 04 06 ?0

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <5

]clalh = blriln

@ka ]clalh

< Pljln < bghuhjuiilh pgtl jlalh ig sgicaln ylho fkalauk cagn ]ktk plfl sgtklp

plok fgholh bghlkik `lskilahyl

.

044b

<.=7ib

<04b

Pljln <

Nktuhoilh jubaln jlrli pgrok flh `laki flrk sgicaln fkalauk cagn sktk flalb

sgnlrk , hyltlilh jlwlplh lhfl , flalb ib. = blriln

0 Akb bgb`gak 0? ̀ kjk gpla. Lnblf bgb`gak > k̀jk ag`kn flrkplfl Akb. Blskho-

blskho bgrgil tgaln blilh 6 k̀jk gpla. @grlpliln `kjk gpla ylho tkhoola3

= blriln

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <?

=Kskplfu susu flalb sg`uln ictli susu klaln <.7 .

=

<flrkplfl susu ktu tgaln

tgrtubpln.

@grlpliln `lik kskplfu susu, flalb b , ylho tkhoola flalb ictli 3

= blriln

6 Pljln 6 bghuhjuiilh jkskb sg`uhoius oual. = blriln

Pljln 6

Blry bgb`gak 0 `uhoius oual ylho slbl . Fkl bgb`uhoius sgbual oual ylho

fk`gakhyl igflalb 6 pligt igmka. Nktuhoilh jkskb , flalb o , sgpligt oual

tgrsg`ut.

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <>

7 Pljln 7 bghuhjuiilh sgjubaln blhki. = blriln

Pljln 7

Blhki-blhki khk fk`grkilh igplfl Lakb flh Flb. Flb bghflplt 54 `kjk ag`kn

flrkplfl Lakb. @grlpliln `kjk blhki ylho fkbkakik cagn Flb3

5 Pljln 5 bghuhjuiilh nlrol lsla sg`uln pgtk sgjui. = blriln

Pljln 5

Gh. Akb bghjula pgtk sgjui tgrsg`ut fgholh nlrol PB ;54. Nktuhoilh pgrltus

iguhtuholhhyl.

<544 `kjk blhki

Pb >44

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog <;

? Pljln ? bghuhjuiilh iu`us L flh iu`ckf @. = blriln

Kskplfu L lflaln7

<flrkplfl kskplfu Iu`ckf @ . Nktuhoilh kskplfu , flalb mb½ , iu`us L

> Pljln > bghuhjuiilh jkskb tgpuho ylho fkpgrauilh uhtui bgb`ult sg`kjk igi.

Pljln >

Tulh Blrklb bgbpuhylk <.?7o tgpuho slnljl. @grlpliln jkskb tgpuho , flalb o , ylho

fkpgrauilh alok 3

= blriln

L@

<4mb

7mb

>mb

0.> io tgpuho

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 04

; Pljln ; bghuhjuiilh nlrol sg`ghtui mkhmkh. = blriln

Pljln ;

]gagpls sg`ualh, nlrol mkhmkh khk fkhlkiilh 64%. @grlpliln nlrol `lru mkhmkh tgrsg`ut3

<4 Pljln <4 bghuhjuiilh sg`uln tkb`lholh `grlt ylho tkfli bghuhjuiilh `grlt `lok 5 `kjk

blhool. Fk`grkilh jkskb sg`kjk blhool klaln 044o. = blriln

Pljln <4

Nktuhoilh jubaln `grlt l̀ok 5 `kjk blhool , flalb io . Auiksilh jlrub tgrsg`ut.

Pb <>74

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0<

<< Pljln << bghuhjuiilh ̀ grlt gbplt crlho `ufli. = blriln

Pljln <<

Turltl `grlt `lok gbplt crlho `ufli klaln 76. @grlpliln `grlt `lok Flvkf3

<0 Pljln <0 bghuhjuiilh `g`grlpl sgok gbplt tgplt ylho slbl `gslr.

Pljln <0

Ikrlilh auls , flalb mb° , ilwlslh `gracrgi.

7?io 70io3

7>ioFlvkf

>mb

<7mb

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 00

<= Pljln <= bghuhjuiilh nlrol prcblsk ful `ctca mgmlkr pghmumk tlholh.

Pljln <=

 Lby bgbpuhylk PB 74 . Fkl khokh bgb`gak 5 `ctca mgmlkr pghmumk tlholh ylho slbl.

@grlpliln `lik wlhohyl3 = blriln

<6 Pljln <6 bghuhjuiilh iu`ckf L flh iu`ckf @. = blriln

<4mb

Mlrkilh kskplfu, flalb mb, iu`ckf @.

PB <7

L

@

? mb

0mb

0mb

<4 mb

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 0=

<7 Tkitcorle <6 bghuhjuiilh jubaln lksirkb ylho fkjula cagn Tulh Bkakho.

Nlrk @kalholh lksirkb ylho fkjula

Pl`u

Inlbks

Jubllt

bgwlikak 7 ̀ ltlho lksirkb

l) Ikrlilh jubaln lksirkb fkjula plfl nlrk inlbks. < blriln

`) @grlpliln `gzl `kalholh lksirkb ylho fkjula plfl nlrk Pl`u flh Jubllt.

0 blriln

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 06

<5 Jlfula <5 bghuhjuiilh `grlt tkol `uln ictli. = blriln

ictli jkskb

 L 544o

@ <io 074 o

M 774o

Jlfula <5

Nktuhoilh purltl sgtklp ictli , flalb o.

<? Pljln <? bghuhjuiilh `kalholh ouak ylho fkbkakik cagn Plbagg. = blriln

Pljln <?

Jkil 64 % flrkplfl `kjk ouak tgrsg`ut `grwlrhl bgrln flh sgag`knhyl `grwlrhl `kru.

Nktuhoilh `kalholh ouak `grwlrhl `kru.

<744 `kjk

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 07

<> Pljln <> bghuhjuiilh pgrltuslh tkol ilub pghfufui fk sg`uln ilbpuho Blrli.

Pljln <>

Jkil pghfufui fk ilbpuho Blrli sgrlblk =74 crlho.

l) Nktuhoilh pgrltus pghfufui ilub alkh-alkh . < blriln

`) Nktuhoilh `kalholh crlho pghfufui ilub bgalyu. 0 blriln

<; Pljln <; bghuhjuiilh nlrol prcbcsk sgplslho ilsut suilh. = blriln

Pljln <;

Jkil nlrol lsla ilsut suilh klaln PB <04.74 . @grlpliln nlrol `lru ilsut tgrsg`ut

IlubK`lh?4%

Ilub

Bgalyu

04%

Alkh-alkh

Tctcholh

=4%

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K Acvg bltngbltkms fk sgfklilh cagn Mkiou _cho [kmi [kb Tlog 05

04 Pljln 04 bghuhjuiilh ful `uln `choiln , iu`us [ flh Iu`ckf Z.

6mb

0mb

6mb

[ <4mb

Nktuhoilh pgr`gzllh kskplfu > `uln iu`us [ flh sg`uln iu`ckf z.

= blriln

]CLALH VLBLV