{"id":155122,"date":"2022-03-26T00:17:43","date_gmt":"2022-03-25T18:47:43","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/natural-numbers-definition-types-properties-and-faqs\/"},"modified":"2022-12-23T17:34:48","modified_gmt":"2022-12-23T12:04:48","slug":"natural-numbers-definition-types-properties-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/","title":{"rendered":"Natural Numbers \u2013 Definition, Types, Properties 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\/natural-numbers\/#Natural_Numbers\" title=\"Natural Numbers\">Natural Numbers<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#Whole_Numbers_and_Natural_Numbers\" title=\"Whole Numbers and Natural Numbers\">Whole Numbers and Natural Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#Set_of_Natural_Numbers\" title=\"Set of Natural Numbers\">Set of Natural Numbers<\/a><\/li><\/ul><\/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\/natural-numbers\/#Properties_of_the_Natural_Number\" title=\"Properties of the Natural Number\">Properties of the Natural Number<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#1_Closure_Property\" title=\"1. Closure Property\">1. Closure Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#2_Associative_Property\" title=\"2. Associative Property\">2. Associative Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#3_Commutative_Property\" title=\"3. Commutative Property\">3. Commutative Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#4_Distributive_Property\" title=\"4. Distributive Property\">4. Distributive Property<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/#Smallest_Natural_Number\" title=\"Smallest Natural Number\">Smallest Natural Number<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Natural_Numbers\"><\/span>Natural Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Natural Numbers \u2013 Definition: A <a href=\"https:\/\/en.wikipedia.org\/wiki\/Natural_number\">natural<\/a> number is any positive integer. It is denoted by the symbol N. The first few <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/natural-numbers\/\">natural<\/a> numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155121 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/natural-numbers-definition-types-properties-and-faqs.jpg\" alt=\"Natural Numbers \u2013 Definition, Types, Properties and FAQs\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/natural-numbers-definition-types-properties-and-faqs.jpg?v=1648234058 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/natural-numbers-definition-types-properties-and-faqs-300x212.jpg?v=1648234058 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Whole_Numbers_and_Natural_Numbers\"><\/span>Whole Numbers and Natural Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A whole number is any number that can be expressed as a whole number, while a natural number is any number that is greater than zero. Whole numbers are always positive, while natural numbers can be positive or negative. The set of whole numbers includes the natural numbers, while the set of natural numbers does not include the whole numbers.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Set_of_Natural_Numbers\"><\/span>Set of Natural Numbers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>A set of natural numbers is a set of positive whole numbers, including 0. The set of natural numbers is denoted by N.<\/li>\n<li>The numbers in the set of natural numbers are:<\/li>\n<\/ul>\n<p>0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_the_Natural_Number\"><\/span>Properties of the Natural Number<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Positive integers have many properties that make them unique mathematical objects. Some of these include:<\/p>\n<ul>\n<li>Natural numbers are whole numbers that are positive.<\/li>\n<li>They are used to count discrete objects.<\/li>\n<li>The first natural number is 1 and the next is 2.<\/li>\n<li>Every natural number has a unique successor.<\/li>\n<li>Natural numbers can be divided by 1 and themselves only.<\/li>\n<li>The sum of two natural numbers is always a natural number.<\/li>\n<li>The product of two natural numbers is always a natural number.<\/li>\n<li>Natural numbers are closed under addition and multiplication.<\/li>\n<li>Every natural number has a unique factorization into primes.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"1_Closure_Property\"><\/span>1. Closure Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>The Closed property of the OutlookItem class indicates whether the item is closed.<\/li>\n<li>The Closed property is a read-only Boolean value that indicates whether the OutlookItem is closed.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"2_Associative_Property\"><\/span>2. Associative Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The associative property states that when two or more numbers are multiplied together, the order of the numbers does not matter as long as the parentheses are correct. For example, 5 \u00d7 (6 + 8) = (5 \u00d7 6) + (5 \u00d7 8).<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_Commutative_Property\"><\/span>3. Commutative Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The commutative property states that the order of numbers (or any other objects) does not affect the result of an operation. This property is symbolized by the equation a + b = b + a.<\/p>\n<p>For example, 3 + 5 = 5 + 3 and 2x + 3 = 3x + 2.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Distributive_Property\"><\/span>4. Distributive Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>For any three real numbers a, b, c:<\/p>\n<p>a + (b + c) = (a + b) + c<\/p>\n<p>a \u00d7 (b \u00d7 c) = (a \u00d7 b) \u00d7 c<\/p>\n<p>&nbsp;<\/p>\n<p>The natural numbers, also known as the positive integers, are the set of numbers {1, 2, 3, 4, 5, &#8230;}. Here are some properties of the natural numbers:<\/p>\n<ol>\n<li>The natural numbers are closed under addition and multiplication. This means that if you add or multiply two natural numbers, the result will always be a natural number.<\/li>\n<li>The natural numbers are not closed under subtraction or division. This means that if you subtract or divide two natural numbers, the result may not be a natural number.<\/li>\n<li>Every natural number has a unique successor. This means that if you add 1 to a natural number, you will always get a different natural number.<\/li>\n<li>The natural numbers are well-ordered. This means that there is a first natural number (1) and every natural number has a successor.<\/li>\n<li>The natural numbers are infinite. This means that there is no largest natural number.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Smallest_Natural_Number\"><\/span>Smallest Natural Number<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The smallest natural number is 1.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Natural Numbers Natural Numbers \u2013 Definition: A natural number is any positive integer. It is denoted by the symbol N. [&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":"Natural Numbers \u2013 Definition","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A natural number is any positive integer. It is denoted by the symbol N. The first few natural numbers are 1, 2, 3, 4, 5, 6, 7, 89, 10","custom_permalink":"maths\/natural-numbers\/"},"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>Natural Numbers \u2013 Definition, Types, Properties and FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A natural number is any positive integer. It is denoted by the symbol N. 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