{"id":154336,"date":"2022-03-25T23:25:18","date_gmt":"2022-03-25T17:55:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/zero-product-property-explanation-examples-and-faqs\/"},"modified":"2022-12-31T16:18:29","modified_gmt":"2022-12-31T10:48:29","slug":"zero-product-property-explanation-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/","title":{"rendered":"Zero Product Property &#8211; Explanation, Examples, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#What_is_Zero_Product_Property\" title=\"What is Zero Product Property?\">What is Zero Product Property?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#More_about_Zero_Product_Property\" title=\"More about Zero Product Property\">More about Zero Product Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#Definition_of_Zero_Product_Property\" title=\"Definition of Zero Product Property\">Definition of Zero Product Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#How_to_make_Use_of_the_Zero_Product_Property\" title=\"How to make Use of the Zero Product Property?\">How to make Use of the Zero Product Property?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#Examples_of_Zero_Product_Properties\" title=\"Examples of Zero Product Properties\">Examples of Zero Product Properties<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Zero_Product_Property\"><\/span>What is Zero Product Property?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Zero Product Property states that if two or more terms are multiplied together, the result is zero if and only if one of the terms is zero.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154335 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg?v=1648230914 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs-300x212.jpg?v=1648230914 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"More_about_Zero_Product_Property\"><\/span>More about Zero Product Property<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The zero product property states that if the product of two or more numbers is zero, then at least one of the numbers is zero. In other words, if the equation ax = 0 has a solution, then x = 0. This property can be used to solve equations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_Zero_Product_Property\"><\/span>Definition of Zero Product Property<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The zero product property states that if two numbers are multiplied together, the result is zero if and only if the two numbers are negative.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_make_Use_of_the_Zero_Product_Property\"><\/span>How to make Use of the Zero Product Property?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The zero product property states that for two nonzero real numbers a and b, the product ab is zero if and only if a = 0 or b = 0. In other words, the product of two nonzero numbers is zero if and only if one of the numbers is zero.<\/p>\n<p>To use the zero product property, first identify whether one of the two numbers is zero. If one of the numbers is zero, then the product is zero. If neither of the numbers is zero, then the product is not zero.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Examples_of_Zero_Product_Properties\"><\/span>Examples of Zero Product Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Zero product properties are mathematical concepts that state that certain products of two or more numbers are zero. There are three main zero product properties: the commutative property, the associative property, and the distributive property.<\/p>\n<p>The commutative property states that the order of the numbers in a product does not affect the result. For example, the product of 2 and 3 is the same as the product of 3 and 2.<\/p>\n<p>The associative property states that the order of the numbers in a product does not affect the result as long as the parentheses are kept the same. For example, the product of (2&#215;3) and 4 is the same as the product of 2&#215;4 and 3.<\/p>\n<p>The distributive property states that the product of a number and a sum is the same as the sum of the products of the number and the individual terms in the sum. For example, the product of 5 and (2+3) is the same as the product of 5 and 5 and the product of 2 and 3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Zero Product Property? The Zero Product Property states that if two or more terms are multiplied together, the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Zero Product Property","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/zero-product-property\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Zero Product Property - Explanation, Examples, and FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Zero Product Property - Explanation, Examples, and FAQs - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T17:55:18+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-31T10:48:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Zero Product Property - Explanation, Examples, and FAQs - Infinity Learn by Sri Chaitanya","description":"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/","og_locale":"en_US","og_type":"article","og_title":"Zero Product Property - Explanation, Examples, and FAQs - Infinity Learn by Sri Chaitanya","og_description":"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T17:55:18+00:00","article_modified_time":"2022-12-31T10:48:29+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg?v=1648230914","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg?v=1648230914","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/","name":"Zero Product Property - Explanation, Examples, and FAQs - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#primaryimage"},"datePublished":"2022-03-25T17:55:18+00:00","dateModified":"2022-12-31T10:48:29+00:00","description":"Learn about zero product property topic of maths in details explained by subject experts on infinitylearn.com.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Zero Product Property &#8211; Explanation, Examples, and FAQs"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Zero Product Property &#8211; Explanation, Examples, and FAQs","datePublished":"2022-03-25T17:55:18+00:00","dateModified":"2022-12-31T10:48:29+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#webpage"},"wordCount":384,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/zero-product-property\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/zero-product-property-explanation-examples-and-faqs.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154336"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=154336"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154336\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=154336"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=154336"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=154336"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=154336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}