{"id":159,"date":"2023-07-15T23:58:13","date_gmt":"2023-07-15T23:58:13","guid":{"rendered":"https:\/\/mathority.org\/id\/sifat-matematika\/"},"modified":"2023-07-15T23:58:13","modified_gmt":"2023-07-15T23:58:13","slug":"sifat-matematika","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/sifat-matematika\/","title":{"rendered":"Sifat matematika"},"content":{"rendered":"<p><strong>Properti matematika<\/strong> adalah alat yang hebat untuk menyelesaikan operasi dengan cepat karena sifatnya seperti trik matematika kecil. Pada artikel ini, kami akan menjelaskan empat properti terpenting secara mendetail, dan kami akan menentukan operasi aritmatika mana yang dapat digunakan. Karena itu, kita bisa mulai dengan penjelasannya.<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Propiedad_conmutativa\">properti komutatif<\/span><\/h2>\n<p> Sifat komutatif merupakan salah satu sifat dasar penjumlahan dan perkalian. Sifat ini menyatakan bahwa urutan penjumlahan atau perkalian dua bilangan tidak mengubah hasilnya. Dengan kata lain, a+b=b+aya dan b=b a.<\/p>\n<ul>\n<li> Contoh <strong>sifat komutatif penjumlahan<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 9 + 5 = 5 + 9 = 14<\/p>\n<ul>\n<li> Contoh <strong>sifat komutatif perkalian<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 9 5 = 5 9 = 45<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Propiedad_asociativa\">properti asosiatif<\/span><\/h2>\n<p> Sifat asosiatif perkalian dan penjumlahan mengacu pada kemampuan untuk menukar urutan suku dalam suatu operasi (dengan tiga suku atau lebih), tanpa mengubah hasilnya. Hal ini dapat diilustrasikan sebagai berikut:<\/p>\n<p class=\"has-text-align-center\"> a + (b + c) = (a + b) + c<\/p>\n<p class=\"has-text-align-center\"> a \u00b7 (b \u00b7 c) = (a \u00b7 b) \u00b7 c<\/p>\n<p> Istilah dalam tanda kurung bisa dipertukarkan dan hasilnya akan sama.<\/p>\n<ul>\n<li> Contoh <strong>sifat asosiatif penjumlahan<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 3 + (9 + 5) = (3 + 9) + 5 = 17<\/p>\n<ul>\n<li> Contoh <strong>sifat asosiatif perkalian<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 3 \u00b7 (9 \u00b7 5) = (3 \u00b7 9) \u00b7 5 = 135<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Propiedad_distributiva\">Properti distributif<\/span><\/h2>\n<p> Sifat distributif merupakan salah satu sifat terpenting yang ada, khususnya dalam aljabar. Properti ini digunakan untuk <strong>menyederhanakan ekspresi<\/strong> dan mempermudah perhitungan. Sifat distributif dapat diterapkan pada perkalian suatu bilangan dengan penjumlahan atau pengurangan.<\/p>\n<p> Sifat distributif menyatakan bahwa jika kita memiliki suatu bilangan dan mengalikannya dengan jumlah atau selisihnya, maka hasilnya akan sama dengan jumlah atau selisih masing-masing bilangan dikalikan dengan bilangan aslinya.<\/p>\n<ul>\n<li> Contoh <strong>sifat distributif dengan hasil kali penjumlahan<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 3 \u00b7 (9 + 5) = 3 \u00b7 9 + 3 \u00b7 5 = 42<\/p>\n<ul>\n<li> Contoh <strong>sifat distributif dengan hasil kali pengurangan<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 3 \u00b7 (9 \u2013 5) = 3 \u00b7 9 \u2013 3 \u00b7 5 = 12<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Propiedad_identidad_o_elemento_neutro\">Properti identitas atau elemen netral<\/span><\/h2>\n<p> Properti identitas atau elemen netral mengacu pada elemen yang tidak mengubah nilai operasi. Pada penjumlahan dan pengurangan, unsur netralnya adalah 0 dan pada perkaliannya adalah 1. Oleh karena itu, kita dapat mengatakan bahwa:<\/p>\n<p class=\"has-text-align-center\"> ke + 0 = ke<\/p>\n<p class=\"has-text-align-center\"> satu \u2013 0 = satu<\/p>\n<p class=\"has-text-align-center\"> kapak 1 = satu<\/p>\n<ul>\n<li> Contoh <strong>properti identitas penjumlahan<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 5 + 0 = 5<\/p>\n<ul>\n<li> Contoh <strong>pengurangan sifat identitas<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 5 \u2013 0 = 5<\/p>\n<ul>\n<li> Contoh <strong>sifat identitas perkalian<\/strong> :<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 5 1 = 5<\/p>\n<h2 class=\"wp-block-heading\"> <span id=\"Propiedades_de_la_resta\">sifat pengurangan<\/span><\/h2>\n<p> Seperti yang telah Anda lihat, semua sifat yang telah kita bahas sejauh ini berlaku untuk penjumlahan dan perkalian. Namun, hanya unsur netral yang dapat diterapkan pada pengurangan. Meskipun sebenarnya ada beberapa sifat pengurangan lainnya:<\/p>\n<ul>\n<li> <strong>Sifat dasar pengurangan<\/strong> : yang menyatakan bahwa: \u201cjika kita menjumlahkan atau mengurangi bilangan yang sama pada pengurangan dan pengurangan, kita memperoleh pengurangan yang setara.\u201d<\/li>\n<\/ul>\n<p> Selanjutnya kita akan mendemonstrasikannya dengan contoh numerik, dimulai dari pengurangan 9 \u2013 5:<\/p>\n<p class=\"has-text-align-center\"> 9 \u2013 5 = (9 + 1) \u2013 (5 + 1) = 4<\/p>\n<ul>\n<li> <strong>Sifat pengurangan yang kedua<\/strong> : jika kita menjumlahkan hasil pengurangan ditambah pengurangnya, kita memperoleh minuend:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 6 \u2013 4 = 2, dan benar 4 + 2 = 6.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Properti matematika adalah alat yang hebat untuk menyelesaikan operasi dengan cepat karena sifatnya seperti trik matematika kecil. Pada artikel ini, kami akan menjelaskan empat properti terpenting secara mendetail, dan kami akan menentukan operasi aritmatika mana yang dapat digunakan. Karena itu, kita bisa mulai dengan penjelasannya. properti komutatif Sifat komutatif merupakan salah satu sifat dasar penjumlahan &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/sifat-matematika\/\"> <span class=\"screen-reader-text\">Sifat matematika<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[59,41],"tags":[],"class_list":["post-159","post","type-post","status-publish","format-standard","hentry","category-hitung","category-penjelasan-matematis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Sifat matematika - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/sifat-matematika\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sifat matematika - Mathority\" \/>\n<meta property=\"og:description\" content=\"Properti matematika adalah alat yang hebat untuk menyelesaikan operasi dengan cepat karena sifatnya seperti trik matematika kecil. 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