Kelas 4 - Matematika - Irwan

PUSAT PERBUKUANDepartemen Pendidikan Nasional

i

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Penulis : Irwan Kusdinar

Zikri

Penyunting : Effendi

Penata Letak : Sufyan

Desain Sampul : Irfansyah

Ukuran Buku : 21 x 29,7 cm

Pintar BermatematikaMatematika untuk SD Kelas 4

372.7IRW IRWAN Kusdinar

p Pintar Matematika 4: Untuk SD/MI Kelas 4,penulis, Irwan Kusdinar, Zikri ; penyunting, Effendi -- Jakarta : Pusat Perbukuan, Departemen Pendidikan Nasional, 2009.

viii, 210 hlm. : ilus. ; 30 cm.

Bibliografi : hlm. 207-208IndeksISBN 978-979-068-567-3 (no. jilid lengkap)ISBN 978-979-068-571-0

1. Matematika-Studi dan Pengajaran2. Matematika-Pendidikan DasarI. Judul II. Irwan Kusdinar III. Effendi

Hak Cipta Buku ini dibeli oleh Departemen Pendidikan Nasionaldari Penerbit Leuser Cita Pustaka, PT

Diterbitkan oleh Pusat PerbukuanDepartemen Pendidikan NasionalTahun 2009

Diperbanyak oleh ....

Hak Cipta pada Departemen Pendidikan NasionalDilindungi Undang-undang

iii

Puji syukur kami panjatkan ke hadirat Allah SWT, berkat rahmat dan karunia-Nya,Pemerintah, dalam hal ini, Departemen Pendidikan Nasional, pada tahun 2009, telahmembeli hak cipta buku teks pelajaran ini dari penulis/penerbit untuk disebarluaskankepada masyarakat melalui situs internet (website) Jaringan Pendidikan Nasional.

Buku teks pelajaran ini telah dinilai oleh Badan Standar Nasional Pendidikan dan telahditetapkan sebagai buku teks pelajaran yang memenuhi syarat kelayakan untuk digunakandalam proses pembelajaran melalui Peraturan Menteri Pendidikan Nasional Nomor 9 Tahun2009 tanggal 12 Februari 2009

Kami menyampaikan penghargaan yang setinggi-tingginya kepada para penulis/penerbit yang telah berkenan mengalihkan hak cipta karyanya kepada DepartemenPendidikan Nasional untuk digunakan secara luas oleh para siswa dan guru di seluruhIndonesia.

Buku-buku teks pelajaran yang telah dialihkan hak ciptanya kepada DepartemenPendidikan Nasional ini, dapat diunduh (down load), digandakan, dicetak, dialihmediakan,atau difotokopi oleh masyarakat. Namun, untuk penggandaan yang bersifat komersialharga penjualannya harus memenuhi ketentuan yang ditetapkan oleh Pemerintah.Diharapkan bahwa buku teks pelajaran ini akan lebih mudah diakses sehingga siswa danguru di seluruh Indonesia maupun sekolah Indonesia yang berada di luar negeri dapatmemanfaatkan sumber belajar ini.

Kami berharap, semua pihak dapat mendukung kebijakan ini. Kepada para siswakami ucapkan selamat belajar dan manfaatkanlah buku ini sebaik-baiknya. Kami menyadaribahwa buku ini masih perlu ditingkatkan mutunya. Oleh karena itu, saran dan kritik sangatkami harapkan.

Jakarta, Juni 2009

Kepala Pusat Perbukuan

Kata Sambutan

iv

Kata Pengantar

Matematika mempunyai peranan penting dalam berbagai Ilmu Pengetahuan danmemajukan daya pikir manusia. Untuk itu, mempelajari materi memberikan banyak manfaatuntuk siswa, salah satunya siswa bisa berpikir logis dan sistematis. Setiap apa yangakan dilakukan siswa akan diperhitungkan terlebih dahulu. Sehingga siswa bisa lebihberhati-hati dalam mengambil suatu tindakan.

Anugerah yang Tuhan berikan sungguh besar. Salah satunya memberikan kamikesehatan sehingga buku “Pintar Bermatematika” dapat diterbitkan. Buku ini disesuaikandengan Standar Isi sehingga Standar Kompetensi dan Kompetensi Dasar yang harusdicapai siswa diuraikan secara terperinci.

Buku “Pintar Bermatematika” menyajikan matematika yang nyata sehingga mudahdipahami siswa dan menjadikan siswa dekat dengan matematika. Pada buku ini terdapatPendahuluan sebagai pengantar untuk siswa dalam mempelajari buku ini. Selain itu,Latihan dapat melatih siswa mempelajari subbab, siswa pun belajar untuk mengerjakansoal matematika dengan cara membuktikannya melalui Tugas. Siswa diharapkan dapatbersosialisasi dan melakukan kegiatan dalam Aktivitas Siswa. Buku ini diakhiri denganTerapan Matematika yang merupakan penerapan materi dalam kehidupan sehari-hari,refleksi dari materi yang dipelajari dalam Refleksi. Tidak lupa ringkasan materi setiapbab dalam Rangkuman dan kumpulan soal-soal untuk mengulang pemahaman siswadalam Mari Mengulang.

Semoga buku “Pintar Bermatematika” ini bermanfaat bagi pembaca, khususnyasiswa SD/MI kelas IV.

Jakarta, Oktober 2008

v

Bagaimana menggunakan bukuini?

Pendahuluan, merupakanpertanyaan pengantar anak untukmempelajari bab tersebut dantujuan pembelajarannya

Ilustrasi, mempermudah siswadalam mempelajari materi

Sifat OperasiHitung Bilangan1Bab

Di sebuah toko terdapat 30 dus mi.Tiap dus berisi 40 mi.Berapa bungkus mi yang ada di toko tersebut?

A. Isilah titik-titik di bawah ini.1. 8 : 9 = — 6. 21 : 13 = —

2. 10 : 11 = — 7. 12 : 7 = —

3. 12 : 15 = — 8. 15 : 9 = —

4. 17 : 18 = — 9. 16 : 7 = —

5. 19 : 20 = — 10. 18 : 10 = —

B. Kerjakanlah soal-soal berikut ini.1. Dina memiliki 7 kue berbentuk lingkaran. Ia ingin membagikan kepada 9 orang

temannya dengan bagian sama besar. Berapa bagian kue yang diperolehmasing-masing temannya?

2. Adi memiliki 2 pizza berbentuk lingkaran. Ia ingin membagikan kepada 7 orangtemannya dengan bagian sama besar. Berapa bagian kue yang diperolehmasing-masing temannya?

3. Rina memiliki 9 apel. Ia ingin membagikan kepada 7 orang teman sekelasnyadengan bagian yang sama besar. Berapa bagian apel yang diperoleh masing-masing teman Rina?

4. Pak Darman memiliki 13 karung beras. Ia akan membagikan kepada 20 fakirmiskin dengan bagian yang sama banyak. Berapa karung beras yang diperolehfakir miskin?

5. Yadi memiliki 15 potong roti yang sama panjang. Ia ingin memberi 10 orangteman bermainnya dengan bagian yang sama besar. Berapa bagian roti yangdiperoleh masing-masing teman Yadi?

LatihanLatihan

......

......

......

......

......

......

......

......

......

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Melatih siswa setelahmempelajari subbab atau uraianyang disajikan terangkum dalamLatihan

1. Sebutkanlah sifat-sifat dari segitiga sama kaki.2. Sebutkanlah sifat-sifat dari segitiga siku-siku.3. Sebutkanlah sifat-sifat dari segitiga sama sisi.

TugasTugas

1. Menemukan Keliling Segitiga

Untuk menemukan rumus keliling segitiga, lakukan kegiatan berikut.

Aktivitas MatematikaAktivitas Matematika

1. Sediakan selembar kertas karton, tali benang, dan jarum pentul.Kemudian, buatlah sebuah segitiga siku-siku pada kertas kartontersebut.

2. Lilitkan benang mengelilingi sisi-sisi segitiga. Tahanlah benang pada satu pojokanmenggunakan jarum pentul.

Siswa belajar sendiri untukmengerjakan soal matematikadengan cara membuktikannya,lalu menyimpulkan di dalamTugas

Siswa belajar untukmengemukakan pendapatdalam berdiskusi sehinggapersoalan matematika yangada dapat terselesaikandengan caramempraktikkannya dalamAktivitas Siswa

vi

Terapan MatematikaTerapan Matematika

Bangun jajargenjang dan segitiga dapat digunakan untuk membangun rangkabangunan. Contohnya, menara listrik tegangan tinggi (SUTET). Menara ini disusunoleh beberapa segitiga dan juga jajargenjang. Pernahkah kamu melihatnya?

Selain pada menara SUTET, bangun ini dapat digunakan juga untuk menopangjembatan besi. Di bawah jembatan, besi-besi disusun dalam bentuk segitiga danjajargenjang.

Terapan Matematika,merupakan penerapan materiyang dipelajari dalam kehidupansehari-hari agar siswamemahami kehidupannya tidakjauh dari matematika

RangkumanRangkuman

1. Jajargenjang memiliki keliling = (2 � panjang alas + 2) � (panjang sisimiring).

2. Luas jajargenjang = panjang alas � tinggi3. Keliling segitiga = Jumlah panjang ketiga sisinya.4. Keliling segitiga sama sisi = 3 � sisi5. Luas segitiga = — � alas � tinggi

1. Temukanlah persamaan keliling dan luas jajargenjang berdasarkan caramusendiri.

2. Temukanlah persamaan keliling dan luas segitiga berdasarkan caramu sendiri.

3. Sebutkan contoh lain yang merupakan penerapan segitiga dan jajargenjangdalam kehidupan sehari-hari.

12

Refleksi, merupakan refleksi darimateri yang telah dipelajari padabab tersebut

Ringkasan materi yang telahdipelajari terangkum dalamRangkuman

Mari Mengulang Bab 2

A. Isilah titik-titik pada soal berikut dengan singkat.

1. Faktor dari 12 adalah 1, 2, …, …, …, 12.

2. Kelipatan dari 8 adalah 8, 16, …, …, …, …, …, …, …, ….

3. Terdapat dua kelipatan berikut:

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …

5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, …

Kelipatan persekutuan dari 4 dan 5 adalah 20, …, ….

B. Berilah tanda (X) pada jawaban yang benar.1. Kelipatan persekutuan dari 2 dan 7 adalah ….

a. 1, 2, …b. 1, 14, …c. 1, 21, …

2. Faktor persekutuan terbesar dari 18 dan 14 adalah ….a. 2b. 7c. 14

3. 10, 20, 30, 40, ….

Kelipatan di atas adalah kelipatan persekutuan dari .…a. 2 dan 5b. 7 dan 9c. 11 dan 14

4. KPK dari 20 dan 24 adalah ….a. 80b. 120c. 140

5. FPB dari 12 dan 18 adalah ….a. 6b. 8c. 10

6. FPB dan KPK dari 18 dan 48 adalah ….a. 6 dan 144 b. 8 dan 120 c. 10 dan 220

Pintar Bermatematika untuk SD/MI Kelas 470

Mari Mengulang,merupakan kumpulan soal-soal untuk mengulangpemahaman siswa pada babyang telah dipelajari

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RefleksiRefleksi

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Daftar IsiKata Sambutan ........................................................................................... iiiKata Pengantar ........................................................................................... ivBagaimana menggunakan buku ini? ............................................................ vDaftar Isi ...................................................................................................... vii

Bab 1 Sifat Operasi Hitung BilanganA. Mengenal Sifat Operasi Hitung Bilangan ................................. 2B. Bilangan 1.000 sampai 50.000 ............................................... 16C. Perkalian Bilangan .................................................................. 25D. Pembagian Bilangan .............................................................. 31E. Operasi Hitung Campuran....................................................... 36F. Penaksiran dan Pembulatan ................................................... 39G. Permasalahan yang Melibatkan Uang ..................................... 45

Mari Mengulang Bab 1 ................................................................ 51

Bab 2 Faktor dan KelipatanA. Faktor dari Suatu Bilangan ...................................................... 54B. Kelipatan Suatu Bilangan ........................................................ 57C. Faktor Persekutuan Terbesar (FPB) ........................................ 60D. Kelipatan Persekutuan Terkecil (KPK) ..................................... 61E. Masalah yang Berkaitan dengan KPK dan FPB ...................... 62


Bab 3 PengukuranA. Sudut ...................................................................................... 70B. Waktu ..................................................................................... 85C. Panjang .................................................................................. 89D. Berat ....................................................................................... 92E. Permasalahan yang Berkaitan dengan Waktu, Panjang,

dan Berat ................................................................................ 94F. Satuan Ukuran Kuantitas ......................................................... 96


Bab 4 Jajargenjang dan SegitigaA. Keliling dan Luas Jajargenjang ................................................ 102B. Keliling dan Luas Segitiga ...................................................... 107

C. Masalah yang Berkaitan dengan Keliling danLuas Jajargenjang dan Segitiga .............................................. 114


viii

Uji Kemampuan 1 ..................................................................................... 121

Bab 5 Operasi Hitung Bilangan BulatA. Mengenal Bilangan Bulat ......................................................... 124B. Membaca dan Menulis Lambang Bilangan Bulat ..................... 125C. Membandingkan Bilangan Bulat .............................................. 127D. Mengurutkan Bilangan Bulat .................................................... 128E. Penjumlahan Bilangan Bulat .................................................... 129F. Pengurangan Bilangan Bulat ................................................... 135G. Operasi Hitung Campuran Bilangan Bulat ............................... 139


Bab 6 Bilangan PecahanA. Pengertian Pecahan dan Urutannya ........................................ 146B. Menyederhanakan Pecahan .................................................... 156C. Menjumlahkan Pecahan .......................................................... 160D. Mengurangkan Pecahan ......................................................... 163E. Menyelesaikan Masalah yang Berkaitan dengan Pecahan ...... 166


Bab 7 Bilangan RomawiA. Lambang Bilangan Romawi .................................................... 172B. Mengubah Bilangan Cacah menjadi Bilangan Romawi

atau Sebaliknya ...................................................................... 173


Bab 8 Bangun Ruang Sederhana dan Hubungan Antarbangun DatarA. Bangun Ruang Sederhana ...................................................... 180B. Jaring-Jaring Kubus dan Balok ............................................... 184C. Benda dan Bangun Datar Simetris .......................................... 187D. Pencerminan Bangun Datar .................................................... 193


Uji Kemampuan 2 ..................................................................................... 201

Glosarium .................................................................................................. 203

Indeks ...................................................................................................... 205

Daftar Pustaka .......................................................................................... 207

Kunci Jawaban ......................................................................................... 209

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50" 43" "*33" "5+"?"43" "”"?"”

60" 3;" "*32" "3+"?"3;" "”"?"”

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30" 7" "3" ?"”" " 80" 3" "669"?"”

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60" 325" "3"?"”" " ;0" 3" "997"?"”

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50222 60422


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C0" C{q"vwnku"ncodcpi"dkncpicp"dgtkmwv0

30" Vkic"dgncu"tkdw"fwc"tcvwu"?"350422

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70" Nkoc"rwnwj"tkdw"ucvw"?"”0

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30" 30224"?"”0" 80"" 320522"?"”0"

40" 40756"?"”0" 90" 350789"?"”0"

50" 50898"?"”0" :0" 470;:9"?"”0"

60" 70976"?"”0" ;0" 580345"?"”0

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70" Crcdknc"pknck"vgorcv"rwnwj"tkdwcp."tkdwcp."tcvwucp"fcp"rwnwjcpp{c"ucoc."rgtkmucncj"pknck"vgorcv"ucvwcpp{c0"Lkmc"pknck"vgorcv"ucvwcp"dkncpicp"vgtugdwv"ngdkj"dguct"fctk"{cpi"nckp."ocmc"vgvcrmcp"dkncpicp"vgtugdwv"ugdcick"{cpi"vgtdguct0

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30" Cncv/Cncv"Wmwt"Ycmvw

Dgtkmwv"kpk"cfcncj"dgdgtcrc"cncv"wmwt"ycmvw0

40" Jwdwpicp"Cpvctucvwcp"Ycmvw"

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ugvgncj"ucorck"mg"mcoct"ocpfk

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ownck"dgtcpimcv"mg"mcpvqt

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40" Tcjoc"dgnclct"ocvgocvkmc" ugncoc"6" lco0"Dgtcrc"fgvkm"Tcjoc"dgnclct"ocvgocvkmcA

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Lcfk."Tcjoc"dgnclct"ocvgocvkmc"ugncoc"360622"fgvkm0

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40" Rcm"Vctocp"ogodclcm" ucycjp{c" ugncoc"7" lco0"Dgtcrc" fgvkm"Rcm"Vctocp"ogodclcm"ucycjp{cA

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50" 7"lco" ?"”"ogpkv" :0" 462"fgvkm" ?"”"ogpkv" "

60" ;"lco" ?"”"fgvkm" ;0" 3:2"ogpkv" ?"”"lco" "

70" 9"lco" ?"”"fgvkm" 320" 582"ogpkv" ?"”"lco"

40" Jwdwpicp"cpvctc"Jctk."Okpiiw."Dwncp."Vcjwp."Ykpfw."fcp"Cdcf

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3"vcjwp" ?" 587"jctk

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3"vcjwp" ?" 6"vtkywncp

3"vcjwp" ?" 5"ecvwtywncp

3"ykpfw" ?" :"vcjwp

3"fcucyctuc" ?" 32"vcjwp

3"cdcf" ?" 322"vcjwp

3"fgmcfg" ?" 30222"vcjwp

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50" 6"vcjwp" ?"”"jctk" :0" 92"vcjwp" ?"”"fcucyctuc

60" :"ykpfw" ?"”"vcjwp" ;0" 62"vcjwp" ?"”"ykpfw

70" 302;7"jctk"?"”"vcjwp" 320" 32"fgmcfg" ?"”"vcjwp

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50" 52"eo"?"”"oo" :0"" 40222"o"?"”"mo

60" 72"jo"?"”"eo" ;0" :0222"oo"?"”"eo

70" 62"fco"?"”eo" 320" 70222"eo"?"”"fco

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3"mi"" ?"4"rqp

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50" :2"rqp"?"”"qpu" :0" 70222"i"" ?"”"qpu

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60" Mgnknkpi" ?" *7"-"7"-"8+"eo" " " ?" 38"eo

" Nwcu" ?" ¤" "8"eo" "6"eo

" " " ?"34"eo4"

34


Wlk"Mgocorwcp"3

C0"40" d60" e80" d:0" c320" d340" d360" d


C0"40" /"32

D040" e60" c80" d

E040"" c0" 32">"33" d0" ;">"42" e0" /"47"?"47" f0" 48"?"48" g0" /"34"@"/"34

60" 35"-"*/"9+"?"8


C0"40" >

D040" c60" d80" e

E0

40" ¤"."¤."¤

60"" c0" ¤" f0" ¤

" d0" ¤" g0" ¤

" e0" ¤

48

68

78

6687

78

99;:


C0"40" ZZZ

D040" d60" c80" e

E040" NXKK"?"79" NZ" ?"82" NZKK"?"84" ZN" ?"62

60"" c0" ZXKK" d0" ZZZ" e0" ZZXKK" f0" ZZZKX" g0" NZ

Octk"Ogpiwncpi"Dcd":

C0"40" :

D040" c60" c80" c

E040" Lcycdcp"dgtdgfc/dgfc60"" C"?"ukogvtku" D"?"ukogvtku" E"?"vkfcm"ukogvtku"" F"?"vkfcm"ukogvtku" G"?"vkfcm"ukogvtku" H"?"vkfcm"ukogvtku

Wlk"Mgocorwcp"4

C0"40" d60" d80" d:0" c320" c340" e360" e

ISBN 978-979-068-567-3 (no. jilid lengkap)ISBN 978-979-068-571-0

Harga Eceran Tertinggi (HET) Rp17.451,--

Kelas 4 - Matematika - Irwan

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