{"id":284104,"date":"2020-08-26T20:29:33","date_gmt":"2020-08-26T13:29:33","guid":{"rendered":"https:\/\/quipperhome.wpcomstaging.com\/?p=284104"},"modified":"2023-02-07T15:32:14","modified_gmt":"2023-02-07T08:32:14","slug":"perbandingan-matematika-kelas-7","status":"publish","type":"post","link":"https:\/\/quipperhome.wpcomstaging.com\/mapel\/matematika\/perbandingan-matematika-kelas-7\/","title":{"rendered":"Perbandingan Matematika &#8211; Rumus, Cara Menghitung dan Contoh Soal"},"content":{"rendered":"<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-284115\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2-768x512.png 768w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2-585x390.png?crop=1 585w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2-263x175.png?crop=1 263w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2-300x200.png 300w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Hai Quipperian, bagaimana kabarnya? Semoga selalu sehat dan tetap semangat belajar, ya.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sebelum pergi ke rumah nenek, Andi mengisi motornya dengan 2 liter bensin. Ternyata, 2 liter bensin tersebut tepat habis setibanya di rumah nenek. Jarak antara stasiun pengisian bahan bakar minyak dan rumah nenek adalah 50 km.&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Beberapa hari kemudian, Andi hendak pergi ke rumah temannya, yaitu Virgo. Di tengah perjalanan, Andi terkejut karena bensinnya hanya tersisa 0,5 liter. Sementara itu, jarak ke rumah Virgo masih 10 km lagi. Kira-kira, cukup enggak ya bensin itu sampai ke rumah Virgo?&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Maukah Quipperian membantu Andi? Bagaimana caranya? Agar bisa membantu Andi, kamu harus menguasai konsep perbandingan. Penasaran? <\/span><i><span style=\"font-weight: 400;\">Check this out<\/span><\/i><span style=\"font-weight: 400;\">!<\/span><\/p>\n<h2><b>Pengertian Perbandingan<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Perbandingan adalah proses membandingkan nilai dari dua besaran sejenis. Biasa dinyatakan secara sederhana dan dalam bentuk pecahan. Konsep ini bisa diaplikasikan dalam kehidupan sehari-hari, misalnya pada skala.<\/span><\/p>\n<h2><b>Gambar Berskala<\/b><\/h2>\n<div id=\"attachment_284116\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img decoding=\"async\" aria-describedby=\"caption-attachment-284116\" class=\"size-full wp-image-284116\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-1.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-1.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-1-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-1-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-284116\" class=\"wp-caption-text\">Foto: pexels.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Gambar berskala bisa Quipperian lihat pada contoh berikut.<\/span><\/p>\n<h3><b>1. Skala<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Pernahkah kamu melihat skala? Jika kamu membuka peta, pasti kamu akan menemukan skala. Skala merupakan perbandingan antara jarak pada peta dan jarak sebenarnya. Biasanya, skala ditulis dengan awalan 1 : \u2026 Contoh skala adalah 1 : 500.000. Apakah Quipperian tahu arti 1 : 500.000?<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ingat, skala merupakan perbandingan antara jarak pada peta dan jarak sebenarnya. Artinya, setiap 1 cm pada peta mewakili jarak 500.000 cm atau 5 km pada keadaan sebenarnya. Secara matematis, skala dirumuskan sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"> <img decoding=\"async\" class=\"alignnone size-full wp-image-284111\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-a.png\" alt=\"\" width=\"118\" height=\"75\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Keterangan:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jp = jarak pada peta; dan<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Js = jarak sebenarnya.<\/span><\/p>\n<h3><b>2. Faktor perbesaran dan pengecilan<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Faktor perbesaran\/pengecilan adalah perbandingan antara hasil perbesaran\/pengecilan dan ukuran awal benda. Secara matematis, faktor perbesaran dan pengecilan dirumuskan sebagai berikut.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-284110\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-b.png\" alt=\"\" width=\"374\" height=\"129\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-b.png 374w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-b-300x103.png 300w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Persamaan di atas menunjukkan bahwa nilai faktor perbesaran selalu lebih besar dari 1 (&gt; 1). Sementara itu, nilai faktor pengecilan selalu kurang dari 1 (&lt; 1).<\/span><\/p>\n<h2><b>Jenis-Jenis Perbandingan<\/b><\/h2>\n<div id=\"attachment_284114\" style=\"width: 810px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-284114\" class=\"size-full wp-image-284114\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-3.png\" alt=\"\" width=\"800\" height=\"533\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-3.png 800w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-3-300x200.png 300w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-3-768x512.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><p id=\"caption-attachment-284114\" class=\"wp-caption-text\">Foto: pexels.com<\/p><\/div>\n<p><span style=\"font-weight: 400;\">Dilihat dari bentuknya, perbandingan dibagi menjadi dua, yaitu senilai dan berbalik nilai. Lalu, apa perbedaannya?<\/span><\/p>\n<h3><b>1. Perbandingan senilai<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Perbandingan senilai adalah perbandingan yang menunjukkan bahwa jika salah satu nilai variabel diperbesar, maka nilai variabel lain menjadi semakin besar. Contoh perbandingan senilai bisa kamu lihat di awal pertemuan materi ini, yaitu apakah bensin Andi mencukupi sampai rumah Virgo? Yuk, kita bantu Andi!<\/span><\/p>\n<p><b><i>Problem solving<\/i><\/b><b>!<\/b><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">2 liter bensin bisa digunakan untuk menempuh jarak 50 km.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">0,5 liter bensin?<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Jika saat ini bensin Andi hanya bersisa 0,5 liter, jelas jarak tempuh bensinnya menjadi lebih pendek, yaitu sebagai berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"> <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-284109\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-c.png\" alt=\"\" width=\"219\" height=\"140\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, sisa bensin Andi masih cukup digunakan untuk menempuh jarak 12,5 km. Oleh karena rumah Virgo berjarak 10 km, maka dengan sisa bensin 0,5 liter Andi masih bisa sampai ke rumah Virgo. Mudah kan Quipperian?<\/span><\/p>\n<h3><b>2. Perbandingan berbalik nilai<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Perbandingan berbalik nilai adalah perbandingan yang menunjukkan bahwa jika salah satu nilai variabel diperbesar, maka nilai variabel lain akan menjadi kecil. Misalnya, pembangunan suatu gedung memerlukan waktu 1 bulan dengan 20 pekerja. Jika pekerja ditambah, kira-kira pembangunan gedung menjadi semakin lama atau semakin cepat? Pasti semakin cepat, kan? Nah, itulah contoh penerapan perbandingan berbalik nilai.<\/span><\/p>\n<h2><b>Perbandingan Terkait Jumlah dan Selisih<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Perbandingan terkait jumlah dan selisih biasanya digunakan untuk menentukan perbandingan umur, jumlah uang, dan tinggi badan. Contohnya sebagai berikut.<\/span><\/p>\n<p><b>Contoh Soal<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Ibu Budi baru saja melahirkan seorang bayi dengan tinggi badan 48 cm. Jika tinggi badan Budi 72 cm lebihnya dari tinggi badan adiknya, tentukan perbandingan tinggi badan Budi dan adiknya!<\/span><\/p>\n<p><b>Pembahasan:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Dari soal diketahui informasi berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi badan bayi = 48 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi badan Budi = 48 + 72 = 120 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dengan mencari hasil bagi diperoleh:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi badan Budi : tinggi badan adik Budi = 120 : 48<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi badan Budi : tinggi badan adik Budi = 5 : 2<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, tinggi badan Budi dan adiknya adalah 5 : 2.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Untuk mengasah kemampuanmu, simak contoh soal berikut.<\/span><\/p>\n<h2><b>Contoh Soal 1<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Jarak kota A dan kota J pada peta adalah 1,5 cm. Peta tersebut dibuat dengan skala 1 : 1.500.000. Tentukan jarak sebenarnya antara kota A dan J!<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Pembahasan:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Dari soal diperoleh informasi berikut.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Skala = 1 : 1.500.000<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Jarak pada peta = 1,5 cm<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">Berdasarkan rumus skala, diperoleh:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-284108\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-d.png\" alt=\"\" width=\"170\" height=\"246\"><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, jarak antara kota A dan J sebenarnya adalah 22,5 km.<\/span><\/p>\n<h2><b>Contoh Soal 2<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Sebuah vas bunga setinggi 15 cm diletakkan di depan sebuah lampu. Vas tersebut membentuk bayangan di layar. Jika tinggi bayangan vas bunga 30 cm, tentukan faktor perbesarannya!<\/span><\/p>\n<p><b>Pembasahan:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Dari soal diperoleh informasi berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi awal = 15 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Tinggi hasil perbesaran = 30 cm<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Berdasarkan rumus faktor perbesaran, diperoleh:<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-284107\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-e.png\" alt=\"\" width=\"318\" height=\"148\" srcset=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-e.png 318w, https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-e-300x140.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, faktor perbesarannya adalah 2.<\/span><\/p>\n<h3><b>Contoh Soal 3<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">Seorang pemborong sedang menghitung waktu untuk menyelesaikan pembuatan rumah. Jika dibantu 9 pekerja, pengerjaan rumah selesai dalam waktu 32 hari. Agar pengerjaan rumah selesai dalam waktu 24 hari, berapakah jumlah pekerja yang dibutuhkan?<\/span><\/p>\n<p><b>Pembahasan:<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Dari soal diperoleh informasi berikut.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">9 pekerja <\/span><span style=\"font-weight: 400;\">-&gt;<\/span><span style=\"font-weight: 400;\"> 32 hari<\/span><\/p>\n<p><i><span style=\"font-weight: 400;\">x<\/span><\/i><span style=\"font-weight: 400;\"> pekerja <\/span><span style=\"font-weight: 400;\">-&gt;<\/span><span style=\"font-weight: 400;\"> 24 hari<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Ingat, semakin banyak pekerja semakin cepat waktu yang diperlukan untuk menyelesaikan pembangunan rumah. Dengan demikian, gunakan rumus perbandingan nilai.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-284106\" src=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-f.png\" alt=\"\" width=\"130\" height=\"128\">&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Jadi, jumlah pekerja yang dibutuhkan agar pembuatan rumah selesai dalam waktu 24 hari adalah 12 pekerja.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Itulah pembahasan Quipper Blog tentang perbandingan. Semoga bermanfaat buat Quipperian, ya. Jangan lupa tetap belajar meskipun di rumah saja. Oh ya, bagi Quipperian yang belum <\/span><i><span style=\"font-weight: 400;\">join<\/span><\/i><span style=\"font-weight: 400;\"> bareng <\/span><a href=\"https:\/\/subscribe.quipper.com\/signup\/id\"><b>Quipper Video<\/b><\/a><span style=\"font-weight: 400;\">, <\/span><i><span style=\"font-weight: 400;\">buruan <\/span><\/i><span style=\"font-weight: 400;\">ya. Bersama Quipper Video, belajar jadi lebih mudah dan menyenangkan. Salam Quipper!<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><b>Penulis: Eka Viandari<\/b><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hai Quipperian, bagaimana kabarnya? Semoga selalu sehat dan tetap semangat belajar, ya. Sebelum pergi ke rumah nenek, Andi mengisi motornya dengan 2 liter bensin.&hellip;<\/p>\n","protected":false},"author":99400369,"featured_media":284115,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[679384888,679384865],"tags":[],"ppma_author":[679386827,679386836],"class_list":["post-284104","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mapel","category-matematika"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Perbandingan Matematika - Rumus, Cara Menghitung dan Contoh Soal - Quipper Blog<\/title>\n<meta name=\"description\" content=\"Materi perbandingan yang akan dibahas pada artikel ini meliputi, pengertian, jenis-jenis perbandingan, hingga contoh soalnya lengkapnya..\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/perbandingan-matematika-kelas-7\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Perbandingan Matematika - Rumus, Cara Menghitung dan Contoh Soal - Quipper Blog\" \/>\n<meta property=\"og:description\" content=\"Materi perbandingan yang akan dibahas pada artikel ini meliputi, pengertian, jenis-jenis perbandingan, hingga contoh soalnya lengkapnya..\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.quipper.com\/id\/blog\/mapel\/matematika\/perbandingan-matematika-kelas-7\/\" \/>\n<meta property=\"og:site_name\" content=\"Quipper Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/QuipperVideoID\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-08-26T13:29:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-02-07T08:32:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/quipperhome.wpcomstaging.com\/wp-content\/uploads\/2020\/08\/Perbandingan-2.png\" \/>\n\t<meta property=\"og:image:width\" content=\"800\" \/>\n\t<meta property=\"og:image:height\" content=\"533\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"sereliciouz, Pamela Natasa, S.Pd.\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:site\" content=\"@quipper_id\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"sereliciouz\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.quipper.com\\\/id\\\/blog\\\/mapel\\\/matematika\\\/perbandingan-matematika-kelas-7\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/mapel\\\/matematika\\\/perbandingan-matematika-kelas-7\\\/\"},\"author\":{\"name\":\"sereliciouz\",\"@id\":\"https:\\\/\\\/quipperhome.wpcomstaging.com\\\/#\\\/schema\\\/person\\\/b08224c7b72a87b156db30c3b032083b\"},\"headline\":\"Perbandingan Matematika &#8211; 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