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SMP Buku pelajaran, buku panduan dan sumber informasi untuk siswa, guru, orang tua. https://www2.erlangga.co.id/soal-latihan/smp.feed 2025-06-26T16:22:32Z Joomla! 1.5 - Open Source Content Management Masa Jenis 2014-10-02T02:57:34Z 2014-10-02T02:57:34Z https://www2.erlangga.co.id/soal-latihan/smp/8052-masa-jenis.html Fisika - Kelas 7 webmaster2@erlangga.co.id <p><img src="https://www2.erlangga.co.id/images/stories/baru/massa jenis.jpg" mce_src="https://www2.erlangga.co.id/images/stories/baru/massa jenis.jpg" border="0"></p> <p>Dikutip dari buku <b><i>Fisika untuk SMP/MTs Kelas VII </i></b>ditulis oleh Tim Abdi Guru<b><i>. </i></b><a href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html" mce_href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html"></a><br mce_bogus="1"></p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/massa jenis.jpg" mce_src="https://www2.erlangga.co.id/images/stories/baru/massa jenis.jpg" border="0"></p> <p>Dikutip dari buku <b><i>Fisika untuk SMP/MTs Kelas VII </i></b>ditulis oleh Tim Abdi Guru<b><i>. </i></b><a href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html" mce_href="http://bukuerlangga.com/buku-kurikulum-2013/5655-ipa-fisika-smp-tag-klsvii-k2013-0035300270.html"></a><br mce_bogus="1"></p> Himpunan 2014-10-01T03:11:14Z 2014-10-01T03:11:14Z https://www2.erlangga.co.id/soal-latihan/smp/8046-himpunan.html Matematika - Kelas 7 webmaster2@erlangga.co.id <ol> </ol> <p>1. Diketahui : S = {1,2,3,4,5,6,7}, A = {1,3,4,7}, dan B = {2,3,5,6,7}.</p> <ol> </ol> <p>Tentukan selisih himpunan berikut !</p> <ol> <li>A – B </li> <li>B – A</li> </ol> <p><b>Jawab</b></p> <ol> <li>Anggota A yang tidak menjadi anggota B adalah 1 dan 4, maka : A – B&nbsp; = {1,4}.</li> <li>Anggota B yang tidak menjadi anggota A adalah 2,5 dan 6, maka : B – A&nbsp; = {2,5,6}.</li> </ol> <p><br /></p> <ol> </ol> <p>2. Diketahui : &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; P = {Semua faktor dari 15}, dan</p> <ol> </ol> <p>Q = {Bilangan asli kelipatan 4 yang kurang dari 20}.</p> <p>Dengan mendaftar anggota-anggotanya, tentukan himpunan berikut :</p> <ol> <li>P Ç Q</li> <li>P – Q </li> <li>Q – P </li> </ol> <p><b>Jawab</b></p> <p>P = {1,3,5,15}</p> <p>Q = {4,8,12,16}</p> <ol> <li>P Ç Q = {&nbsp;&nbsp; }</li> <li>P – Q = {1,3,5,15} = P</li> <li>Q – P = {4,8,12,16} = P</li> </ol> <p><span style="color: #ff0000;" mce_style="color: #ff0000;"><i>Catatan : Jika P Ç Q = { }, maka selalu berlaku : P – Q = P dan Q – P = Q</i></span></p> <p>Dikutip dari buku <b><i>Matematika untuk SMP/MTS Kelas VII</i></b><br mce_bogus="1"></p> <p><br /></p> <div class="mceItemVisualAid" id="_mcePaste" style="position: absolute; left: -10000px; top: 215px; width: 1px; height: 1px; overflow: hidden;"><!--[if gte mso 9]><xml> <o:OfficeDocumentSettings> <o:AllowPNG /> </o:OfficeDocumentSettings> </xml><![endif]--> <p class="MsoNormal" style="text-align:center" mce_style="text-align:center" align="center">Catatan :</p> <p class="MsoListParagraph" style="margin-left:.75in;mso-add-space:auto" mce_style="margin-left:.75in;mso-add-space:auto">Jika P <span style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol" mce_style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol"><span style="mso-char-type: symbol;mso-symbol-font-family:Symbol" mce_style="mso-char-type: symbol;mso-symbol-font-family:Symbol">Ç</span></span> Q = {<span style="mso-spacerun:yes" mce_style="mso-spacerun:yes"> </span>}, maka selalu berlaku : P – Q = P dan Q – P = Q</p> <!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> 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Diketahui : S = {1,2,3,4,5,6,7}, A = {1,3,4,7}, dan B = {2,3,5,6,7}.</p> <ol> </ol> <p>Tentukan selisih himpunan berikut !</p> <ol> <li>A – B </li> <li>B – A</li> </ol> <p><b>Jawab</b></p> <ol> <li>Anggota A yang tidak menjadi anggota B adalah 1 dan 4, maka : A – B&nbsp; = {1,4}.</li> <li>Anggota B yang tidak menjadi anggota A adalah 2,5 dan 6, maka : B – A&nbsp; = {2,5,6}.</li> </ol> <p><br /></p> <ol> </ol> <p>2. Diketahui : &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; P = {Semua faktor dari 15}, dan</p> <ol> </ol> <p>Q = {Bilangan asli kelipatan 4 yang kurang dari 20}.</p> <p>Dengan mendaftar anggota-anggotanya, tentukan himpunan berikut :</p> <ol> <li>P Ç Q</li> <li>P – Q </li> <li>Q – P </li> </ol> <p><b>Jawab</b></p> <p>P = {1,3,5,15}</p> <p>Q = {4,8,12,16}</p> <ol> <li>P Ç Q = {&nbsp;&nbsp; }</li> <li>P – Q = {1,3,5,15} = P</li> <li>Q – P = {4,8,12,16} = P</li> </ol> <p><span style="color: #ff0000;" mce_style="color: #ff0000;"><i>Catatan : Jika P Ç Q = { }, maka selalu berlaku : P – Q = P dan Q – P = Q</i></span></p> <p>Dikutip dari buku <b><i>Matematika untuk SMP/MTS Kelas VII</i></b><br mce_bogus="1"></p> <p><br /></p> <div class="mceItemVisualAid" id="_mcePaste" style="position: absolute; left: -10000px; top: 215px; width: 1px; height: 1px; overflow: hidden;"><!--[if gte mso 9]><xml> <o:OfficeDocumentSettings> <o:AllowPNG /> </o:OfficeDocumentSettings> </xml><![endif]--> <p class="MsoNormal" style="text-align:center" mce_style="text-align:center" align="center">Catatan :</p> <p class="MsoListParagraph" style="margin-left:.75in;mso-add-space:auto" mce_style="margin-left:.75in;mso-add-space:auto">Jika P <span style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol" mce_style="font-family:Symbol;mso-ascii-font-family:Calibri;mso-ascii-theme-font: minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin; mso-char-type:symbol;mso-symbol-font-family:Symbol"><span style="mso-char-type: symbol;mso-symbol-font-family:Symbol" mce_style="mso-char-type: symbol;mso-symbol-font-family:Symbol">Ç</span></span> Q = {<span style="mso-spacerun:yes" mce_style="mso-spacerun:yes"> </span>}, maka selalu berlaku : P – Q = P dan Q – P = Q</p> <!--[if gte mso 9]><xml> <w:WordDocument> <w:View>Normal</w:View> <w:Zoom>0</w:Zoom> 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mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin;} --> <!--[endif] --></div> Modus, Mean dan Median 2014-05-24T02:37:56Z 2014-05-24T02:37:56Z https://www2.erlangga.co.id/soal-latihan/smp/7844-modus-mean-dan-median-.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Hasil ulangan Matematika seorang siswa selama satu semester adalah sebagai berikut.</p> <p>4, 6, 7, 9, 5, 8, 4, 7, 2, 6, 10, 4</p> <p>Dari data tersebut, tentukanlah:<br />a. modus, b. median, c. mean.</p> <p><b>Penyelesaian:</b></p> <p>Urutan hasil ulangan siswa adalah sebagai berikut.<br />2, 4, 4, 4, 5, 6, 6, 7, 7, 8, 9, 10</p> <p>a. Modus data adalah nilai yang paling sering muncul, yaitu nilai 4.</p> <p>b. Data terdiri dari 12 nilai, maka mediannya adalah rata-rata datum ke-6 dan ke-7.</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohmeant.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohmeant.png" border="0" height="83" width="238"></p> <p>c. Mean</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohmean.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohmean.png" border="0" height="67" width="300"></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Hasil ulangan Matematika seorang siswa selama satu semester adalah sebagai berikut.</p> <p>4, 6, 7, 9, 5, 8, 4, 7, 2, 6, 10, 4</p> <p>Dari data tersebut, tentukanlah:<br />a. modus, b. median, c. mean.</p> <p><b>Penyelesaian:</b></p> <p>Urutan hasil ulangan siswa adalah sebagai berikut.<br />2, 4, 4, 4, 5, 6, 6, 7, 7, 8, 9, 10</p> <p>a. Modus data adalah nilai yang paling sering muncul, yaitu nilai 4.</p> <p>b. Data terdiri dari 12 nilai, maka mediannya adalah rata-rata datum ke-6 dan ke-7.</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohmeant.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohmeant.png" border="0" height="83" width="238"></p> <p>c. Mean</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohmean.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohmean.png" border="0" height="67" width="300"></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Neto, Tara dan Bruto 2014-05-24T02:33:03Z 2014-05-24T02:33:03Z https://www2.erlangga.co.id/soal-latihan/smp/7843-neto-tara-dan-bruto.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Pemilik sebuah toko mendapat kiriman 100 karung beras dari Bulog. Pada setiap karung, tertera tulisan bruto 114 kg dan tara 2 kg. Neto kiriman yang diterima pemilik toko adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Untuk setiap karung, berat bruto = 114 kg dan tara = 2 kg, maka:<br />berat bruto = berat neto + tara<br />114 kg = berat neto + 2 kg<br />berat neto = 114 kg – 2 kg<br />= 112 kg</p> <p>Toko tersebut mendapat kiriman 100 karung, maka:<br />berat neto kiriman = 100 × 112 kg<br />= 11.200 kg<br />= 112 kuintal</p> <p>Jadi, neto kiriman yang diterima pemilik toko adalah 112 kuintal.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Pemilik sebuah toko mendapat kiriman 100 karung beras dari Bulog. Pada setiap karung, tertera tulisan bruto 114 kg dan tara 2 kg. Neto kiriman yang diterima pemilik toko adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Untuk setiap karung, berat bruto = 114 kg dan tara = 2 kg, maka:<br />berat bruto = berat neto + tara<br />114 kg = berat neto + 2 kg<br />berat neto = 114 kg – 2 kg<br />= 112 kg</p> <p>Toko tersebut mendapat kiriman 100 karung, maka:<br />berat neto kiriman = 100 × 112 kg<br />= 11.200 kg<br />= 112 kuintal</p> <p>Jadi, neto kiriman yang diterima pemilik toko adalah 112 kuintal.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Perbandingan dan Skala 2014-05-24T02:25:21Z 2014-05-24T02:25:21Z https://www2.erlangga.co.id/soal-latihan/smp/7842-perbandingan-dan-skala.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Pada denah dengan skala 1 : 200, terdapat gambar kebun berbentuk persegi panjang dengan ukuran 7 cm × 4,5 cm. Luas kebun sebenarnya adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Diketahui skala denah kebun adalah 1 : 200, maka ukuran 1 cm pada denah mewakili 200 cm ukuran sebenarnya.<br />Panjang sebenarnya = 7 × 200 cm = 1.400 cm = 14 m<br />Lebar sebenarnya = 4,5 × 200 cm = 900 cm = 9 m<br />Luas kebun sebenarnya = panjang × lebar = 14 m × 9 m = 126 m2</p> <p><br />Jadi, luas kebun sebenarnya adalah 126 m2.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Pada denah dengan skala 1 : 200, terdapat gambar kebun berbentuk persegi panjang dengan ukuran 7 cm × 4,5 cm. Luas kebun sebenarnya adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Diketahui skala denah kebun adalah 1 : 200, maka ukuran 1 cm pada denah mewakili 200 cm ukuran sebenarnya.<br />Panjang sebenarnya = 7 × 200 cm = 1.400 cm = 14 m<br />Lebar sebenarnya = 4,5 × 200 cm = 900 cm = 9 m<br />Luas kebun sebenarnya = panjang × lebar = 14 m × 9 m = 126 m2</p> <p><br />Jadi, luas kebun sebenarnya adalah 126 m2.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Segi Empat 2014-05-24T02:21:51Z 2014-05-24T02:21:51Z https://www2.erlangga.co.id/soal-latihan/smp/7841-segi-empat-.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Keliling suatu persegi panjang 28 cm. Jika panjangnya lebih panjang 2 cm dari lebarnya, luas persegi panjang tersebut adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Misalkan panjang = p dan lebar = l, maka<br />p = l + 2.<br />Keliling persegi panjang = 28<br />2(p + l) = 28<br />(l + 2) + l = 28 : 2<br />2l + 2 = 14<br />2l = 14 – 2<br />l = 12 : 2 = 6 cm<br />p = 6 + 2 = 8 cm<br />Luas persegi panjang = p × l<br />= 8 cm × 6 cm<br />= 48 cm2<br />Jadi, luas persegi panjang tersebut adalah<br />48 cm2.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Keliling suatu persegi panjang 28 cm. Jika panjangnya lebih panjang 2 cm dari lebarnya, luas persegi panjang tersebut adalah . . . .</p> <p><b>Penyelesaian :</b></p> <p>Misalkan panjang = p dan lebar = l, maka<br />p = l + 2.<br />Keliling persegi panjang = 28<br />2(p + l) = 28<br />(l + 2) + l = 28 : 2<br />2l + 2 = 14<br />2l = 14 – 2<br />l = 12 : 2 = 6 cm<br />p = 6 + 2 = 8 cm<br />Luas persegi panjang = p × l<br />= 8 cm × 6 cm<br />= 48 cm2<br />Jadi, luas persegi panjang tersebut adalah<br />48 cm2.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Garis dan Sudut 2014-05-24T02:09:12Z 2014-05-24T02:09:12Z https://www2.erlangga.co.id/soal-latihan/smp/7840-garis-dan-sudut.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Perhatikan gambar segitiga berikut :</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalbarissudut.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalbarissudut.png" border="0" height="134" width="250"></p> <p>∠DBC = 130° dan ∠BAC = 60°, maka besar ∠ACB adalah . . . .</p> <p><b>Penyelesaian : </b></p> <p>∠DBC dan ∠CBA saling berpelurus sehingga jumlahnya 180°.<br />∠CBA = 180°− ∠DBC<br />= 180° − 130°<br />= 50°</p> <p>Jumlah besar sudut segitiga adalah 180°.<br />∠BAC + ∠CBA + ∠ACB = 180°<br />∠ACB = 180° – (∠BAC + ∠CBA)<br />= 180° – (60° + 50°)<br />= 180° – 110°<br />= 70°<br />Jadi, besar ∠ACB adalah 70°</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Perhatikan gambar segitiga berikut :</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalbarissudut.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalbarissudut.png" border="0" height="134" width="250"></p> <p>∠DBC = 130° dan ∠BAC = 60°, maka besar ∠ACB adalah . . . .</p> <p><b>Penyelesaian : </b></p> <p>∠DBC dan ∠CBA saling berpelurus sehingga jumlahnya 180°.<br />∠CBA = 180°− ∠DBC<br />= 180° − 130°<br />= 50°</p> <p>Jumlah besar sudut segitiga adalah 180°.<br />∠BAC + ∠CBA + ∠ACB = 180°<br />∠ACB = 180° – (∠BAC + ∠CBA)<br />= 180° – (60° + 50°)<br />= 180° – 110°<br />= 70°<br />Jadi, besar ∠ACB adalah 70°</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Pecahan 2014-05-24T02:03:15Z 2014-05-24T02:03:15Z https://www2.erlangga.co.id/soal-latihan/smp/7839-pecahan-.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Hasil dari <img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahan.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahan.png" border="0" height="30" width="79">adalah ...</p> <p><br /></p> <p>Urutan pengerjaan operasi hitung campuran pada pecahan sama dengan operasi hitung pada bilangan bulat. Jadi, operasi hitung pembagian dikerjakan lebih dahulu karena tingkatannya lebih tinggi daripada operasi pengurangan.</p> <p><b>Penyelesaian :</b></p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahana.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahana.png" border="0" height="161" width="166"></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Hasil dari <img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahan.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahan.png" border="0" height="30" width="79">adalah ...</p> <p><br /></p> <p>Urutan pengerjaan operasi hitung campuran pada pecahan sama dengan operasi hitung pada bilangan bulat. Jadi, operasi hitung pembagian dikerjakan lebih dahulu karena tingkatannya lebih tinggi daripada operasi pengurangan.</p> <p><b>Penyelesaian :</b></p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahana.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalpecahana.png" border="0" height="161" width="166"></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Kelipatan Persekutuan Terkecil (KPK) 2014-05-24T01:56:37Z 2014-05-24T01:56:37Z https://www2.erlangga.co.id/soal-latihan/smp/7838-kelipatan-persekutuan-terkecil-kpk-.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Faktor-faktor prima dari 252 adalah . . . .</p> <p><b>Penyelesaian:</b></p> <p>Faktor-faktor prima dapat ditentukan dengan menggunakan pohon faktor.</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalkpk.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalkpk.png" border="0" height="192" width="225"></p> <p>Jadi, faktor-faktor prima dari 252 adalah 2, 3, dan 7.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Faktor-faktor prima dari 252 adalah . . . .</p> <p><b>Penyelesaian:</b></p> <p>Faktor-faktor prima dapat ditentukan dengan menggunakan pohon faktor.</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoalkpk.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoalkpk.png" border="0" height="192" width="225"></p> <p>Jadi, faktor-faktor prima dari 252 adalah 2, 3, dan 7.</p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> Himpunan 2014-05-24T01:44:20Z 2014-05-24T01:44:20Z https://www2.erlangga.co.id/soal-latihan/smp/7837-himpunan-.html Matematika - kelas 7 webmaster2@erlangga.co.id <p>Dari 42 siswa, 12 siswa menyukai atletik, 20 siswa menyukai senam, dan 8 siswa menyukai kedua-duanya.</p> <p>a. Tunjukkan pernyataan di atas dengan Diagram Venn.<br />b. Tentukan banyak siswa yang tidak menyukai atletik maupun senam.</p> <p><b>Penyelesaian:</b></p> <p>Misalkan A = {siswa yang menyukai atletik} dan B = {siswa yang menyukai senam}.<br />Banyak siswa yang hanya menyukai atletik = 12 – 8 = 4 orang<br />Banyak siswa yang hanya menyukai senam = 20 – 8 = 12 orang<br />Banyak siswa yang menyukai atletik atau senam<br />n(A ∪ B) = n(A) + n(B) – n(A ∩ B) = 12 + 20 – 8 = 24 orang<br />Banyak siswa yang tidak menyukai keduanya = 40 – 24 = 16 orang</p> <p>a. Diagram Venn</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoaldiagramvenn.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoaldiagramvenn.png" border="0" height="146" width="233"></p> <p>b. Banyak siswa yang tidak menyukai atletik maupun senam adalah 16 orang.</p> <p><br /></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p> <p>Dari 42 siswa, 12 siswa menyukai atletik, 20 siswa menyukai senam, dan 8 siswa menyukai kedua-duanya.</p> <p>a. Tunjukkan pernyataan di atas dengan Diagram Venn.<br />b. Tentukan banyak siswa yang tidak menyukai atletik maupun senam.</p> <p><b>Penyelesaian:</b></p> <p>Misalkan A = {siswa yang menyukai atletik} dan B = {siswa yang menyukai senam}.<br />Banyak siswa yang hanya menyukai atletik = 12 – 8 = 4 orang<br />Banyak siswa yang hanya menyukai senam = 20 – 8 = 12 orang<br />Banyak siswa yang menyukai atletik atau senam<br />n(A ∪ B) = n(A) + n(B) – n(A ∩ B) = 12 + 20 – 8 = 24 orang<br />Banyak siswa yang tidak menyukai keduanya = 40 – 24 = 16 orang</p> <p>a. Diagram Venn</p> <p><img src="https://www2.erlangga.co.id/images/stories/baru/contohsoaldiagramvenn.png" mce_src="https://www2.erlangga.co.id/images/stories/baru/contohsoaldiagramvenn.png" border="0" height="146" width="233"></p> <p>b. Banyak siswa yang tidak menyukai atletik maupun senam adalah 16 orang.</p> <p><br /></p> <p><i>Dikutip dari buku SIAPUJA MATEMATIKA SMP/MTs Jilid 1 Kurikulum 2013</i><br mce_bogus="1"></p>