{"id":154126,"date":"2022-03-25T23:11:19","date_gmt":"2022-03-25T17:41:19","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/properties-of-whole-numbers-explanation-solved-examples-and-faqs\/"},"modified":"2024-02-21T17:35:15","modified_gmt":"2024-02-21T12:05:15","slug":"properties-of-whole-numbers-explanation-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-whole-numbers\/","title":{"rendered":"Properties of Whole Numbers &#8211; With Solved Explanation and Examples"},"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\/properties-of-whole-numbers\/#What_is_a_Whole_Number_In_Maths\" title=\"What is a Whole Number In Maths?\">What is a Whole Number In Maths?<\/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\/properties-of-whole-numbers\/#Properties_of_Whole_Numbers_with_Examples\" title=\"Properties of Whole Numbers with Examples\">Properties of Whole Numbers with Examples<\/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\/properties-of-whole-numbers\/#Properties_of_Addition\" title=\"Properties of Addition\">Properties of Addition<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-whole-numbers\/#Properties_of_Subtraction\" title=\"Properties of Subtraction\">Properties of Subtraction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-whole-numbers\/#Properties_of_Multiplication\" title=\"Properties of Multiplication\">Properties of Multiplication<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/properties-of-whole-numbers\/#Properties_of_Division\" title=\"Properties of Division\">Properties of Division<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span style=\"color: #0000ff;\"><strong><span style=\"font-size: 14pt;\">Properties of Whole Numbers &#8211; Explanation, Solved Examples and FAQs<\/span><\/strong><\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Whole_Number_In_Maths\"><\/span><span style=\"font-size: 14pt; color: #800080;\">What is a Whole Number In Maths?<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A whole number is a number that can be divided evenly by two integers, with no remainder. For example, the whole numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154125 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/properties-of-whole-numbers-explanation-solved-examples-and-faqs-300x212.jpg\" alt=\"Properties of Whole Numbers\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/properties-of-whole-numbers-explanation-solved-examples-and-faqs-300x212.jpg?v=1648230074 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/properties-of-whole-numbers-explanation-solved-examples-and-faqs.jpg?v=1648230074 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Properties_of_Whole_Numbers_with_Examples\"><\/span><span style=\"color: #800080;\">Properties of Whole Numbers with Examples<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The properties of whole numbers are as follows:<\/p>\n<p>1. Whole numbers are positive integers.<\/p>\n<p>2. Whole numbers are counting numbers.<\/p>\n<p>3. Whole numbers are rational numbers.<\/p>\n<p>4. The order of whole numbers is the natural number order.<\/p>\n<p>5. The addition of two whole numbers is the sum of their individual parts.<\/p>\n<p>6. The multiplication of two whole numbers is the product of their individual parts.<\/p>\n<p>7. The square of a whole number is the result of multiplying the number by itself.<\/p>\n<p>8. The natural number 1 is the identity element for addition.<\/p>\n<p>9. The natural number 1 is the identity element for multiplication.<\/p>\n<p>10. There is an inverse element for every whole number in the set of whole numbers.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Properties_of_Addition\"><\/span><span style=\"color: #800080;\">Properties of Addition<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The sum of two numbers is called their addition. The following are some of the properties of addition:<\/p>\n<p>1. Commutative Property: This property states that the order of the numbers does not affect the sum. That is, the sum of two numbers is the same regardless of the order in which the numbers are added. For example, 5 + 3 = 3 + 5.<\/p>\n<p>2. Associative Property: This property states that the grouping of numbers does not affect the sum. That is, the sum of three numbers is the same regardless of how the numbers are grouped. For example, (5 + 3) + 4 = 5 + (3 + 4).<\/p>\n<p>3. Identity Property: This property states that the sum of zero and any number is the number itself. That is, 0 + x = x for any number x.<\/p>\n<p>4. Inverse Property: This property states that the sum of a number and its inverse is the number itself. That is, x + (-x) = x for any number x.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Properties_of_Subtraction\"><\/span><span style=\"font-size: 14pt; color: #800080;\">Properties of Subtraction<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The properties of subtraction are as follows:<\/p>\n<p>Commutative: For any two numbers a and b, a &#8211; b is the same as b &#8211; a.<\/p>\n<p>Associative: For any three numbers a, b, and c, (a &#8211; b) &#8211; c is the same as a &#8211; (b &#8211; c).<\/p>\n<p>Identity: For any number a, a &#8211; 0 is the same as a.<\/p>\n<p>Inverse: For any number a, there exists a number b such that a &#8211; b = 0.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Properties_of_Multiplication\"><\/span><span style=\"font-size: 14pt; color: #800080;\">Properties of Multiplication<\/span><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The product of two whole numbers is always greater than or equal to the sum of the two numbers.<\/p>\n<p>The product of two negative numbers is always less than the sum of the two numbers.<\/p>\n<p>The product of two positive numbers is always greater than the product of the two numbers if the signs are different. If the signs of the two numbers are the same, the product is the same as the product of the two numbers.<\/p>\n<p>The following questions have been merged into this one. If you feel any of these questions have been included in error help us improve our content by splitting these questions into seperate discussions. Please remove this message when editing help content.<\/p>\n<p>How do I clear the cache on my iPhone?<\/p>\n<p>To clear the cache on your iPhone, you will need to go into your phone&#8217;s settings. From there, you will need to select &#8220;Safari&#8221; and then &#8220;Clear History and Website Data&#8221;.<\/p>\n<h5><span class=\"ez-toc-section\" id=\"Properties_of_Division\"><\/span><span style=\"font-size: 14pt; color: #800080;\">Properties of Division<\/span><span class=\"ez-toc-section-end\"><\/span><\/h5>\n<p>A division operation always produces a number that is less than the number that is divided by.<\/p>\n<p>A division operation always produces a number that is a whole number.<\/p>\n<p>A division operation always produces a number that is greater than 0.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Properties of Whole Numbers &#8211; Explanation, Solved Examples and FAQs What is a Whole Number In Maths? 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