{"id":155190,"date":"2022-03-26T00:22:16","date_gmt":"2022-03-25T18:52:16","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/integers-operations-properties-and-representation-of-integers\/"},"modified":"2025-05-29T10:15:37","modified_gmt":"2025-05-29T04:45:37","slug":"integers-operations-properties-and-representation-of-integers","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/integers\/","title":{"rendered":"Integers"},"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\/integers\/#What_Are_Integers\" title=\"What Are Integers?\">What Are Integers?<\/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\/integers\/#Definition_of_an_Integer\" title=\"Definition of an Integer\">Definition of an Integer<\/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\/integers\/#Properties_of_Integers\" title=\"Properties of Integers\">Properties of Integers<\/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\/integers\/#The_Set_of_Integers\" title=\"The Set of Integers\">The Set of Integers<\/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\/integers\/#Integers_on_a_Number_Line\" title=\"Integers on a Number Line\">Integers on a Number Line<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Properties_of_Integers-2\" title=\"Properties of Integers\">Properties of Integers<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#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-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#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-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#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-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#4_Distributive_Property\" title=\"4. Distributive Property\">4. Distributive Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#5_Additive_Inverse_Property\" title=\"5. Additive Inverse Property\">5. Additive Inverse Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#6_Multiplicative_Inverse_Property\" title=\"6. Multiplicative Inverse Property\">6. Multiplicative Inverse Property<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#7_Identity_Property\" title=\"7. Identity Property\">7. Identity Property<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Integer_Operations\" title=\"Integer Operations\">Integer Operations<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Addition_of_Integers\" title=\"Addition of Integers\">Addition of Integers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Subtraction_of_Integers\" title=\"Subtraction of Integers\">Subtraction of Integers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Multiplication_of_Integers\" title=\"Multiplication of Integers\">Multiplication of Integers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Division_of_Integers\" title=\"Division of Integers\">Division of Integers<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#Integers_FAQs\" title=\"Integers: FAQs\">Integers: FAQs<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#What_are_integers\" title=\"What are integers?\">What are integers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#What_is_the_difference_between_positive_and_negative_integers\" title=\"What is the difference between positive and negative integers?\">What is the difference between positive and negative integers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integers\/#What_are_the_basic_operations_of_integers\" title=\"What are the basic operations of integers?\">What are the basic operations of integers?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Integers are a fundamental concept in mathematics. They include all positive whole numbers, negative whole numbers, and zero. The term &#8220;integer&#8221; comes from the Latin word integer, which means &#8220;whole&#8221; or &#8220;intact.&#8221; This implies that integers are complete numbers without any fractions or decimals. In this article, we will learn about integers, their definition, and their key properties.<\/p>\n<p style=\"text-align: center;\"><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/average\/\">Average<\/a><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Are_Integers\"><\/span>What Are Integers?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Integers are a set of numbers that consist of positive numbers (like 1, 2, 3), negative numbers (like -1, -2, -3), and zero. They form a crucial part of number theory and are used in various mathematical operations and real-life situations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_an_Integer\"><\/span>Definition of an Integer<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An integer is a number that does not have any decimal or fractional part. It includes positive numbers, negative numbers, and zero. For example, -5, 0, 1, 5, 8, 97, and 3,043 are all integers.<\/p>\n<div class=\"card\" style=\"text-align: center;\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><br \/>\n<img loading=\"lazy\" class=\" lazyloaded\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" alt=\"one-stop-solutions school exam\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2024\/09\/one-stop-solution-for-school-exam.jpg\" \/><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/one-stop-solutions-for-school-prep?utm_source=surge&amp;utm_medium=interlinking\"><button><strong>One Stop Solutions for School Exam Preparation<\/strong><\/button><\/a><\/p>\n<div style=\"text-align: center;\">Boost your school preparation with our comprehensive guide for CBSE, ICSE, and State Board exams. Get all the resources you need in one place and excel in your academic journey. Discover the ultimate one-stop solution at Infinity Learn today!<\/div>\n<div>\n<p><strong>Also Check:<a href=\"https:\/\/infinitylearn.com\/surge\/maths\/circumference-of-a-circle\/\"> Circumstance of Circle<\/a><\/strong><\/p>\n<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Integers\"><\/span>Properties of Integers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Integers do not include fractions or decimals. They are whole numbers that can be positive, negative, or zero.<\/li>\n<li>Integers are closed under addition, subtraction, and multiplication. This means that adding, subtracting, or multiplying two integers will always result in another integer.<\/li>\n<li>Dividing two integers does not always result in an integer. For example, dividing 1 by 2 gives 0.5, which is not an integer.<\/li>\n<li>Every integer has an additive inverse. For instance, the additive inverse of 5 is -5, because 5 + (-5) equals zero.<\/li>\n<li>Addition and multiplication of integers are commutative, meaning the order in which you add or multiply integers does not affect the result.<\/li>\n<li>Integers is a combination of all whole numbers, both positive and negative, as well as zero. By combining positive numbers, negative numbers, and zero, we form the set of integers.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"The_Set_of_Integers\"><\/span>The Set of Integers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The set of integers is often denoted by the letter Z and it includes:<\/p>\n<ul>\n<li><strong>Positive Numbers:<\/strong> These are numbers greater than zero. Examples include 1, 2, 3, and so on.<\/li>\n<li><strong>Negative Numbers<\/strong>: These are numbers less than zero. Examples include -1, -2, -3, and so on.<\/li>\n<li><strong>Zero:<\/strong> Zero is a special number in this set. It is neit<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Integers_on_a_Number_Line\"><\/span>Integers on a Number Line<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A number line is a visual tool that displays numbers along a straight, horizontal line. This line extends infinitely in both directions, with numbers placed at equal intervals.<\/p>\n<ul>\n<li>Positive integers are placed to the right of zero.<\/li>\n<li>Negative integers are placed to the left of zero.<\/li>\n<li>Zero is positioned at the center of the line.<\/li>\n<\/ul>\n<p>By using a number line, you can easily compare integers and see their relative positions. Integers, both positive and negative, can be effectively visualised on a number line. This visual representation helps in understanding arithmetic operations and the relationships between numbers.<\/p>\n<p>Below given are some key points to remember when placing integers on a number line.<\/p>\n<ul>\n<li>On a number line, numbers to the right are always greater than those to the left.<\/li>\n<li>Positive Numbers are positioned to the right of zero since they are greater than zero.<\/li>\n<li>Negative Numbers are placed to the left of zero because they are smaller than zero.<\/li>\n<li>Zero is neither positive nor negative and is typically placed at the center of the number line.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Integers-2\"><\/span>Properties of Integers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Integers have several important properties that help in performing various mathematical operations. Below mentioned are the main properties:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"1_Closure_Property\"><\/span>1. Closure Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The closure property indicates that the set of integers is closed under specific operations. This means performing these operations on integers will always result in an integer:<\/p>\n<p>Addition: a+b\u2208Z<\/p>\n<p>Subtraction: a\u2212b\u2208Z<\/p>\n<p>Multiplication: a\u00d7b\u2208Z<\/p>\n<p>Division: Note that division is not always closed for integers (e.g., 5\u00f72 is not an integer).<\/p>\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 changing the grouping of integers does not change the result. This property applies to addition and multiplication:<\/p>\n<p>Addition: a+(b+c)=(a+b)+c<\/p>\n<p>Multiplication: a\u00d7(b\u00d7c)=(a\u00d7b)\u00d7c<\/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 means that changing the order of integers does not affect the result. This applies to addition and multiplication:<\/p>\n<p>Addition: a+b=b+a<\/p>\n<p>Multiplication: a\u00d7b=b\u00d7a<\/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>The distributive property describes how multiplication distributes over addition: a\u00d7(b+c)=(a\u00d7b)+(a\u00d7c)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Additive_Inverse_Property\"><\/span>5. Additive Inverse Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The additive inverse property states that adding an integer and its opposite results in zero:<\/p>\n<p>For any integer a+(\u2212a)=0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Multiplicative_Inverse_Property\"><\/span>6. Multiplicative Inverse Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The multiplicative inverse property says that multiplying an integer by its reciprocal results in one:<\/p>\n<p>For any integer =1 (Note: This property holds only for non-zero integers.)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_Identity_Property\"><\/span>7. Identity Property<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Integers follow identity properties for addition and multiplication:<\/p>\n<ul>\n<li>Additive Identity: Adding zero to an integer gives the integer itself: a+0=a<\/li>\n<li>Multiplicative Identity: Multiplying an integer by one gives the integer itself: a\u00d71=a<\/li>\n<\/ul>\n<p>These properties are essential for understanding and performing operations with integers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Integer_Operations\"><\/span>Integer Operations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>When working with integers, we perform four basic arithmetic operations:<\/p>\n<ul>\n<li>Addition of Integers<\/li>\n<li>Subtraction of Integers<\/li>\n<li>Multiplication of Integers<\/li>\n<li>Division of Integers<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Addition_of_Integers\"><\/span>Addition of Integers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Adding integers involves finding the sum of two or more integers, where the outcome can either increase or decrease depending on whether the integers are positive or negative. Here are the key rules and examples for adding integers:<\/p>\n<p><strong>Rules for Adding Integers<\/strong><\/p>\n<ul>\n<li>When both integers have the same sign, add their absolute values and keep the same sign for the result.<\/li>\n<\/ul>\n<p>Example: 2 + (5)<\/p>\n<p>Absolute values: \u22232\u2223=2 and \u22235\u2223=5<\/p>\n<p>Difference: 5 + 2 = 7<\/p>\n<ul>\n<li>When one integer is positive and the other is negative, subtract the smaller absolute value from the larger absolute value, and assign the sign of the integer with the larger absolute value to the result.<\/li>\n<\/ul>\n<p>Example: (\u22122)+5<\/p>\n<p>Absolute values: \u2223\u22122\u2223=2 and \u22235\u2223=5<\/p>\n<p>Difference: 5\u22122=3<\/p>\n<p>The larger absolute value is 5, which has a positive sign.<\/p>\n<p>Therefore, (\u22122)+5=3<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Subtraction_of_Integers\"><\/span>Subtraction of Integers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Subtracting integers involves finding the difference between two integers, where the result may increase or decrease depending on the integers&#8217; signs. To simplify subtraction, follow these steps:<\/p>\n<p><strong>Rules for Subtracting Integers<\/strong><\/p>\n<ul>\n<li>Change the subtraction problem into an addition problem by changing the sign of the subtrahend (the number being subtracted).<\/li>\n<li>Use the rules for adding integers to solve the resulting addition problem.<\/li>\n<\/ul>\n<p>Example: Subtract the integers 7 and 10<\/p>\n<p>Rewrite the Problem: 7\u221210 can be expressed as 7+(\u221210) by converting the subtraction into an addition problem and changing the sign of 10.<\/p>\n<p>Absolute values: \u22237\u2223=7 and \u2223\u221210\u2223=10<\/p>\n<p>Difference: 10\u22127=3<\/p>\n<p>The larger absolute value is 10, which has a negative sign.<\/p>\n<p>Therefore, 7\u221210=\u22123.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Multiplication_of_Integers\"><\/span>Multiplication of Integers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Multiplying integers involves following specific rules based on the signs of the integers. Here are the basic rules:<\/p>\n<p><strong>Rules for Multiplying Integers<\/strong><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td><strong>Product of Signs<\/strong><\/td>\n<td><strong>Result<\/strong><\/td>\n<td><strong>Example<\/strong><\/td>\n<\/tr>\n<tr>\n<td>(+) \u00d7 (+)<\/td>\n<td>+<\/td>\n<td>2\u00d73=6<\/td>\n<\/tr>\n<tr>\n<td>(+) \u00d7 (-)<\/td>\n<td>&#8211;<\/td>\n<td>2\u00d7(\u22123)=\u22126<\/td>\n<\/tr>\n<tr>\n<td>(-) \u00d7 (+)<\/td>\n<td>&#8211;<\/td>\n<td>(\u22122)\u00d73=\u22126<\/td>\n<\/tr>\n<tr>\n<td>(-) \u00d7 (-)<\/td>\n<td>+<\/td>\n<td>(\u22122)\u00d7(\u22123)=6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Example: Multiply (\u22126)\u00d73<\/p>\n<p>Using the rules for multiplication, the product of a negative and a positive integer is negative.<\/p>\n<p>Therefore: (\u22126)\u00d73=\u221218<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Division_of_Integers\"><\/span>Division of Integers<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Dividing integers involves distributing or grouping one integer into a specified number of groups. Below given are the rules for dividing integers:<\/p>\n<p><strong>Rules for Dividing Integers<\/strong><\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" style=\"width: 35.98%;\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td style=\"width: 45.8967%;\"><strong>Division of Signs<\/strong><\/td>\n<td style=\"width: 19.7568%;\"><strong>Result<\/strong><\/td>\n<td style=\"width: 82.9787%;\"><strong>Example<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.8967%;\">(+) \u00f7 (+)<\/td>\n<td style=\"width: 19.7568%;\">+<\/td>\n<td style=\"width: 82.9787%;\">12\u00f73=4<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.8967%;\">(+) \u00f7 (-)<\/td>\n<td style=\"width: 19.7568%;\">&#8211;<\/td>\n<td style=\"width: 82.9787%;\">12\u00f7(\u22123)=\u22124<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.8967%;\">(-) \u00f7 (+)<\/td>\n<td style=\"width: 19.7568%;\">&#8211;<\/td>\n<td style=\"width: 82.9787%;\">(\u221212)\u00f73=\u22124<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 45.8967%;\">(-) \u00f7 (-)<\/td>\n<td style=\"width: 19.7568%;\">+<\/td>\n<td style=\"width: 82.9787%;\">(\u221212)\u00f7(\u22123)=4<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Example: Divide (\u221215)\u00f73<\/p>\n<p>Using the division rules, when dividing a negative integer by a positive integer, the result is negative.<\/p>\n<p>Therefore: (\u221215)\u00f73=\u22125<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Integers_FAQs\"><\/span>Integers: FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_integers\"><\/span>What are integers?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIntegers are whole numbers that include positive numbers, negative numbers, and zero. They do not include fractions or decimals. Examples of integers are \u22125, 0, and 8.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_difference_between_positive_and_negative_integers\"><\/span>What is the difference between positive and negative integers?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tPositive integers are numbers greater than zero (for example, 1, 2, 3), while negative integers are numbers less than zero (for example, \u22121, \u22122, \u22123). Zero is neither positive nor negative.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_basic_operations_of_integers\"><\/span>What are the basic operations of integers?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe basic operations on integers include addition, subtraction, multiplication, and division. Each operation follows specific rules based on the signs of the integers involved.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are integers?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Integers are whole numbers that include positive numbers, negative numbers, and zero. They do not include fractions or decimals. Examples of integers are \u22125, 0, and 8.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the difference between positive and negative integers?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Positive integers are numbers greater than zero (for example, 1, 2, 3), while negative integers are numbers less than zero (for example, \u22121, \u22122, \u22123). Zero is neither positive nor negative.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the basic operations of integers?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The basic operations on integers include addition, subtraction, multiplication, and division. Each operation follows specific rules based on the signs of the integers involved.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Integers are a fundamental concept in mathematics. They include all positive whole numbers, negative whole numbers, and zero. The term [&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":"Integers","_yoast_wpseo_title":"Integers | Definition, Properties, and Number Lines","_yoast_wpseo_metadesc":"Integers are basically any and every number without a fractional component. 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