bab 5 operasi hitung bilangan bulat
PUSAT PERBUKUAN
Departemen Pendidikan Nasional
Dcd
7
Qrgtcuk"Jkvwpi"
Dkncpicp"Dwncv
Iwpwpi"vkpiikp{c"40222"ogvgt"fk"cvcu"rgtowmccp"ncwv0
Fk"vgrk"rcpvck."mgvkpiikcpp{c"cfcncj"2"ogvgt0
Mgfcncocp"ucowfgtc"fcrcv"ogpecrck"40222"ogvgt0
Crc"dgfcp{c"mgfcncocp"fcp"mgvkpiikcpA"
Crcmcj"jcn"kvw"ogtwrcmcp"uguwcvw"{cpi"dgtncycpcpA
Mcow"cmcp"dgnclct
Ogplwoncjmcp" fcp" ogpiwtcpimcp" dkncpicp" dwncv." vgtocuwm" dkncpicp"
dwncv"pgicvkh0
Dcd"7"/"Qrgtcuk"Jkvwpi"Dkncpicp"Dwncv
345
C0
Ogpigpcn"Dkncpicp"Dwncv
Rgtjcvkmcp"icodct"mgvkpiikcp"dwmkv"fcp"mgfcncocp"fcpcw"dgtkmwv"kpk0
33
dwmkv
rgtowmccp"fcpcw
2
/"33
fcuct"fcpcw
Mgvkpiikcp"ugdwcj"dwmkv"fcp"mgfcncocp"ugdwcj"fcpcw"fkjkvwpi"fctk"rgtowmccp"
ckt"fcpcw0"Vkpiik"dwmkv"33"o"fcp"mgfcncocp"fcuct"fcpcw"/"33"o0"Rgtowmccp"fcpcw"
ugpfktk"ugdcick"cewcp"fkvcpfck"fgpicp"cpimc"2"*fkdcec"pqn+0
Lkmc"ictku"dkncpicp"fk"cvcu"fkdwcv"fcnco"ictku"ogpfcvct."fkrgtqngj"icodct"
dgtkmwv0
dkncpicp"dwncv"pgicvkh"
/": /"9 /"8 /"7 /"6 /"5 /"4 /"3
pqn
2
dkncpicp"dwncv"rqukvkh
3
4
5
6
7
8
9
:
Dkncpicp"/:."/9."/8."/7."/6."/5."/4."/3."2."3."4."5."6."7."8."9.":."fkpcocmcp"
dkncpicp" dwncv0" Dkncpicp" {cpi" cfc" fk" ugdgncj" mktk" pqn" fkpcocmcp" dkncpicp"
dwncv"pgicvkh."dkncpicpp{c"cfcncj"/:."/9."/8."/7."/6."/5."/4."/30"Dkncpicp"{cpi"cfc"
fk"ugdgncj"mcpcp"pqn"fkugdwv"dkncpicp"dwncv"rqukvkh."dkncpicpp{c"cfcncj"3."4."5."
6."7."8."9.":0"Fk"cpvctc"dkncpicp"dwncv"rqukvkh"fcp"dkncpicp"dwncv"pgicvkh"vgtfcrcv"
dkncpicp"2"*pqn+0"Dkncpicp"pqn"vkfcm"vgtocuwm"dkncpicp"dwncv"pgicvkh"cvcwrwp"
dkncpicp"dwncv"rqukvkh0
Dkncpicp"dwncv"vgtfktk"fctk"dkncpicp"dwncv"rqukvkh."
dkncpicp"dwncv"pgicvkh."fcp"dkncpicp"pqn0
346
Rkpvct"Dgtocvgocvkmc"wpvwm"UF1OK"Mgncu"6
D0
Ogodcec"fcp"Ogpwnku"Ncodcpi"Dkncpicp"Dwncv
Dcickocpcmcj"ectc"ogodcec"fcp"ogpwnku"ncodcpi"dkncpicp"dwncvA"Mgvkmc"
ogpwnku"ncodcpi"dkncpicp"pgicvkh."vwnkumcp"vcpfc"/"fk"fgrcp"dkncpicpp{c."ugrgtvk"
/5"fkdcec"pgicvkh"vkic0"Ugfcpimcp."wpvwm"ogpwnku"ncodcpi"dkncpicp"dwncv"rqukvkh"
iwpcmcp" vcpfc" -." ugrgtvk" -5" fkdcec" rnwu" vkic0" Vcprc" vcpfc" -" vkfcm" rgtpcj"
fkiwpcmcp" ugjkpiic" wpvwm" rgpwnkucp" dkncpicp" dwncv" rqukvkh" ewmwr" fkvwnkumcp"
dkncpicpp{c"uclc0"C{q"rgtjcvkmcp"eqpvqj"dgtkmwv"kpk0
Eqpvqj
"
Ncodcpi"Dkncpicp"
Fkdcec
"
/"6"
pgicvkh"gorcv"
"
/"7"
pgicvkh"nkoc
"
/";"
pgicvkh"ugodkncp
"
/"43"
"
5"
vkic
"
:"
fgncrcp
"
36"
pgicvkh"fwc"rwnwj"ucvw
gorcv"dgncu
Ncvkjcp
30" Dcecncj"ncodcpi"dkncpicp"dwncv"dgtkmwv0
"
Ncodcpi"Dkncpicp"
Fkdcec
"
/":"
000
"
/"35"
000
"
/"3:"
000
"
/"4;"
000
"
32"
000
"
3;"
000
"
55"
000
"
7:"
000
Dcd"7"/"Qrgtcuk"Jkvwpi"Dkncpicp"Dwncv
347
40" Vwnkumcp"ncodcpi"dkncpicpp{c0
"
Pcoc"Dkncpicp"
Fkvwnku
"
pgicvkh"fwc"rwnwj"fwc"
000
"
pgicvkh"vkic"rwnwj"nkoc"
000
"
pgicvkh"gorcv"rwnwj"vwlwj"
000
"
pgicvkh"ugtcvwu"vkic"rwnwj"vkic"
000
"
nkoc"rwnwj"nkoc"
000
"
fgncrcp"rwnwj"nkoc"
000
"
ugodkncp"rwnwj"vwlwj"
000
"
ugtcvwu"fwc"rwnwj"gpco"
000
Ugmctcpi."c{q"rgtjcvkmcp"eqpvqj"dgtkmwv0
Eqpvqj
Vwnkuncj"fcnco"dkncpicp"dwncv0
30" Ugdwcj"rgucycv"vgtdcpi"dgtcfc"rcfc"mgvkpiikcp"30222"o0"Mgvkpiikcpp{c"
cfcncj"”0
40" Ugdwcj"mcrcn"ugnco"dgtcfc"rcfc"mgfcncocp"722"o0"Mgfcncocpp{c"cfcncj"”0
50" Fqpk" ogpicncok" mgtwikcp" fctk" rgplwcncp" dwcj/dwcjcp" ugdguct" 70222"
twrkcj0"Ncdcp{c"cfcncj"”0
60" Fkpc"ogorgtqngj"wpvwpi"fctk"rgplwcncp"mwgp{c"ugdguct"370222"twrkcj0"
Ncdcp{c"cfcncj"”0
70" Uwjw"ugdwcj"gu"cfcncj"8"fgtclcv"fk"dcycj"pqn0"Uwjwp{c"fkvwnku"”
Lcycd
30" 30222"o
40" /"722"o
50" /"70222"twrkcj
60" 370222"twrkcj
70" /"8£""""""""""""""""""""""*vcpfc"£."fkdcec"5="/8">"/7="/9">"
/8="fcp"ugvgtwup{c0
Ncvkjcp
C0" Dcpfkpimcp"dkncpicp"dwncv"dgtkmwv"fgpicp"ogodgtkmcp"vcpfc"@"cvcw">0
30" ;"”":"
80" 7"”"2"
"
40" 9"”"8"
90" /5"”"2"
50" 5"”"4"
:0" /:"”";"
60" 3"”"/7"
;0" /;"”"/42"
70" /4"”"/8"
320" /32"”"32"
"
D0" Ocpcmcj"{cpi"ngdkj"vkpiik"fcp"ngdkj"tgpfcj"fctk"rcucpicp"uwjw"dgtkmwv0
F0
30""47£"E"fcp"42£"E"
80" 4£"E"fcp"/5£"E
40""34£"E"fcp"62£"E"
90" 37£"E"fcp"/6£"E
50""33£"E"fcp"2£"E"
:0" 36£"E"fcp"/38£"E
60""35£"E"fcp";£"E"
;0" /5£"E"fcp"/32£"E
70""32£"E"fcp"/3£"E"
320" /35£"E"fcp"35£"E
Ogpiwtwvmcp"Dkncpicp"Dwncv
Mcow"vgncj"ogorgnclctk"ectc"ogpgpvwmcp"dkncpicp"dwncv"{cpi"ngdkj"mgekn"cvcw"
ngdkj"dguct"rcfc"rgodcjcucp"ugdgnwop{c0"Rgnclctcp"kvw"cmcp"mcow"iwpcmcp"wpvwm"
ogpiwtwvmcp"dkncpicp"dwncv"fctk"{cpi"vgtmgekn"mg"vgtdguct"cvcw"ugdcnkmp{c0
Okucnmcp."mcow"cmcp"ogpiwtwvmcp"dkncpicp"dwncv"dgtkmwv0
3."4."6."5."/8."8."/4."/3."2."/5."7."/7."/6
Dwcvncj" ictku" dkncpicp" vgtngdkj" fcjwnw0" Ngvcmmcp" dkncpicp/dkncpicp" vcfk"
rcfc"ictku"dkncpicp"ugectc"dgtwtwv0
/"8 /"7 /"6 /"5 /"4 /"3
34:
2
3
4
5
6
7
8
Rkpvct"Dgtocvgocvkmc"wpvwm"UF1OK"Mgncu"6
Ugjkpiic"fcrcv"fkvgpvwmcp"wtwvcp"dkncpicpp{c"ugdcick"dgtkmwv0
Wtwvcp"dkncpicp"dwncv"fctk"{cpi"vgtmgekn"
Departemen Pendidikan Nasional
Dcd
7
Qrgtcuk"Jkvwpi"
Dkncpicp"Dwncv
Iwpwpi"vkpiikp{c"40222"ogvgt"fk"cvcu"rgtowmccp"ncwv0
Fk"vgrk"rcpvck."mgvkpiikcpp{c"cfcncj"2"ogvgt0
Mgfcncocp"ucowfgtc"fcrcv"ogpecrck"40222"ogvgt0
Crc"dgfcp{c"mgfcncocp"fcp"mgvkpiikcpA"
Crcmcj"jcn"kvw"ogtwrcmcp"uguwcvw"{cpi"dgtncycpcpA
Mcow"cmcp"dgnclct
Ogplwoncjmcp" fcp" ogpiwtcpimcp" dkncpicp" dwncv." vgtocuwm" dkncpicp"
dwncv"pgicvkh0
Dcd"7"/"Qrgtcuk"Jkvwpi"Dkncpicp"Dwncv
345
C0
Ogpigpcn"Dkncpicp"Dwncv
Rgtjcvkmcp"icodct"mgvkpiikcp"dwmkv"fcp"mgfcncocp"fcpcw"dgtkmwv"kpk0
33
dwmkv
rgtowmccp"fcpcw
2
/"33
fcuct"fcpcw
Mgvkpiikcp"ugdwcj"dwmkv"fcp"mgfcncocp"ugdwcj"fcpcw"fkjkvwpi"fctk"rgtowmccp"
ckt"fcpcw0"Vkpiik"dwmkv"33"o"fcp"mgfcncocp"fcuct"fcpcw"/"33"o0"Rgtowmccp"fcpcw"
ugpfktk"ugdcick"cewcp"fkvcpfck"fgpicp"cpimc"2"*fkdcec"pqn+0
Lkmc"ictku"dkncpicp"fk"cvcu"fkdwcv"fcnco"ictku"ogpfcvct."fkrgtqngj"icodct"
dgtkmwv0
dkncpicp"dwncv"pgicvkh"
/": /"9 /"8 /"7 /"6 /"5 /"4 /"3
pqn
2
dkncpicp"dwncv"rqukvkh
3
4
5
6
7
8
9
:
Dkncpicp"/:."/9."/8."/7."/6."/5."/4."/3."2."3."4."5."6."7."8."9.":."fkpcocmcp"
dkncpicp" dwncv0" Dkncpicp" {cpi" cfc" fk" ugdgncj" mktk" pqn" fkpcocmcp" dkncpicp"
dwncv"pgicvkh."dkncpicpp{c"cfcncj"/:."/9."/8."/7."/6."/5."/4."/30"Dkncpicp"{cpi"cfc"
fk"ugdgncj"mcpcp"pqn"fkugdwv"dkncpicp"dwncv"rqukvkh."dkncpicpp{c"cfcncj"3."4."5."
6."7."8."9.":0"Fk"cpvctc"dkncpicp"dwncv"rqukvkh"fcp"dkncpicp"dwncv"pgicvkh"vgtfcrcv"
dkncpicp"2"*pqn+0"Dkncpicp"pqn"vkfcm"vgtocuwm"dkncpicp"dwncv"pgicvkh"cvcwrwp"
dkncpicp"dwncv"rqukvkh0
Dkncpicp"dwncv"vgtfktk"fctk"dkncpicp"dwncv"rqukvkh."
dkncpicp"dwncv"pgicvkh."fcp"dkncpicp"pqn0
346
Rkpvct"Dgtocvgocvkmc"wpvwm"UF1OK"Mgncu"6
D0
Ogodcec"fcp"Ogpwnku"Ncodcpi"Dkncpicp"Dwncv
Dcickocpcmcj"ectc"ogodcec"fcp"ogpwnku"ncodcpi"dkncpicp"dwncvA"Mgvkmc"
ogpwnku"ncodcpi"dkncpicp"pgicvkh."vwnkumcp"vcpfc"/"fk"fgrcp"dkncpicpp{c."ugrgtvk"
/5"fkdcec"pgicvkh"vkic0"Ugfcpimcp."wpvwm"ogpwnku"ncodcpi"dkncpicp"dwncv"rqukvkh"
iwpcmcp" vcpfc" -." ugrgtvk" -5" fkdcec" rnwu" vkic0" Vcprc" vcpfc" -" vkfcm" rgtpcj"
fkiwpcmcp" ugjkpiic" wpvwm" rgpwnkucp" dkncpicp" dwncv" rqukvkh" ewmwr" fkvwnkumcp"
dkncpicpp{c"uclc0"C{q"rgtjcvkmcp"eqpvqj"dgtkmwv"kpk0
Eqpvqj
"
Ncodcpi"Dkncpicp"
Fkdcec
"
/"6"
pgicvkh"gorcv"
"
/"7"
pgicvkh"nkoc
"
/";"
pgicvkh"ugodkncp
"
/"43"
"
5"
vkic
"
:"
fgncrcp
"
36"
pgicvkh"fwc"rwnwj"ucvw
gorcv"dgncu
Ncvkjcp
30" Dcecncj"ncodcpi"dkncpicp"dwncv"dgtkmwv0
"
Ncodcpi"Dkncpicp"
Fkdcec
"
/":"
000
"
/"35"
000
"
/"3:"
000
"
/"4;"
000
"
32"
000
"
3;"
000
"
55"
000
"
7:"
000
Dcd"7"/"Qrgtcuk"Jkvwpi"Dkncpicp"Dwncv
347
40" Vwnkumcp"ncodcpi"dkncpicpp{c0
"
Pcoc"Dkncpicp"
Fkvwnku
"
pgicvkh"fwc"rwnwj"fwc"
000
"
pgicvkh"vkic"rwnwj"nkoc"
000
"
pgicvkh"gorcv"rwnwj"vwlwj"
000
"
pgicvkh"ugtcvwu"vkic"rwnwj"vkic"
000
"
nkoc"rwnwj"nkoc"
000
"
fgncrcp"rwnwj"nkoc"
000
"
ugodkncp"rwnwj"vwlwj"
000
"
ugtcvwu"fwc"rwnwj"gpco"
000
Ugmctcpi."c{q"rgtjcvkmcp"eqpvqj"dgtkmwv0
Eqpvqj
Vwnkuncj"fcnco"dkncpicp"dwncv0
30" Ugdwcj"rgucycv"vgtdcpi"dgtcfc"rcfc"mgvkpiikcp"30222"o0"Mgvkpiikcpp{c"
cfcncj"”0
40" Ugdwcj"mcrcn"ugnco"dgtcfc"rcfc"mgfcncocp"722"o0"Mgfcncocpp{c"cfcncj"”0
50" Fqpk" ogpicncok" mgtwikcp" fctk" rgplwcncp" dwcj/dwcjcp" ugdguct" 70222"
twrkcj0"Ncdcp{c"cfcncj"”0
60" Fkpc"ogorgtqngj"wpvwpi"fctk"rgplwcncp"mwgp{c"ugdguct"370222"twrkcj0"
Ncdcp{c"cfcncj"”0
70" Uwjw"ugdwcj"gu"cfcncj"8"fgtclcv"fk"dcycj"pqn0"Uwjwp{c"fkvwnku"”
Lcycd
30" 30222"o
40" /"722"o
50" /"70222"twrkcj
60" 370222"twrkcj
70" /"8£""""""""""""""""""""""*vcpfc"£."fkdcec"5="/8">"/7="/9">"
/8="fcp"ugvgtwup{c0
Ncvkjcp
C0" Dcpfkpimcp"dkncpicp"dwncv"dgtkmwv"fgpicp"ogodgtkmcp"vcpfc"@"cvcw">0
30" ;"”":"
80" 7"”"2"
"
40" 9"”"8"
90" /5"”"2"
50" 5"”"4"
:0" /:"”";"
60" 3"”"/7"
;0" /;"”"/42"
70" /4"”"/8"
320" /32"”"32"
"
D0" Ocpcmcj"{cpi"ngdkj"vkpiik"fcp"ngdkj"tgpfcj"fctk"rcucpicp"uwjw"dgtkmwv0
F0
30""47£"E"fcp"42£"E"
80" 4£"E"fcp"/5£"E
40""34£"E"fcp"62£"E"
90" 37£"E"fcp"/6£"E
50""33£"E"fcp"2£"E"
:0" 36£"E"fcp"/38£"E
60""35£"E"fcp";£"E"
;0" /5£"E"fcp"/32£"E
70""32£"E"fcp"/3£"E"
320" /35£"E"fcp"35£"E
Ogpiwtwvmcp"Dkncpicp"Dwncv
Mcow"vgncj"ogorgnclctk"ectc"ogpgpvwmcp"dkncpicp"dwncv"{cpi"ngdkj"mgekn"cvcw"
ngdkj"dguct"rcfc"rgodcjcucp"ugdgnwop{c0"Rgnclctcp"kvw"cmcp"mcow"iwpcmcp"wpvwm"
ogpiwtwvmcp"dkncpicp"dwncv"fctk"{cpi"vgtmgekn"mg"vgtdguct"cvcw"ugdcnkmp{c0
Okucnmcp."mcow"cmcp"ogpiwtwvmcp"dkncpicp"dwncv"dgtkmwv0
3."4."6."5."/8."8."/4."/3."2."/5."7."/7."/6
Dwcvncj" ictku" dkncpicp" vgtngdkj" fcjwnw0" Ngvcmmcp" dkncpicp/dkncpicp" vcfk"
rcfc"ictku"dkncpicp"ugectc"dgtwtwv0
/"8 /"7 /"6 /"5 /"4 /"3
34:
2
3
4
5
6
7
8
Rkpvct"Dgtocvgocvkmc"wpvwm"UF1OK"Mgncu"6
Ugjkpiic"fcrcv"fkvgpvwmcp"wtwvcp"dkncpicpp{c"ugdcick"dgtkmwv0
Wtwvcp"dkncpicp"dwncv"fctk"{cpi"vgtmgekn"