{"id":31367,"date":"2023-06-30T18:31:55","date_gmt":"2023-06-30T18:31:55","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=31367"},"modified":"2023-11-16T05:18:13","modified_gmt":"2023-11-16T05:18:13","slug":"singleton-set-definition-formula-properties-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set","title":{"rendered":"Singleton Set: Definition, Formula, Properties, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-af05ff58-858a-4d88-aa21-6653f9e6c31e\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#0-what-is-a-singleton-set-in-math>What Is a Singleton Set in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#3-power-set-of-a-singleton-set>Power Set of a Singleton Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#4-properties-of-the-singleton-set>Properties of the Singleton Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#11-solved-singleton-set-examples>Solved Singleton Set Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#12-practice-problems-on-singleton-set>Practice Problems on Singleton Set<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set#13-frequently-asked-questions-on-singleton-set>Frequently Asked Questions on Singleton Set<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-singleton-set-in-math\">What Is a Singleton Set in Math?<\/h2>\n\n\n\n<p><strong>A singleton set is a set containing a single element. A singleton set is also called a unit set since there\u2019s only one element present in the set.&nbsp;<\/strong><\/p>\n\n\n\n<p>In math, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/sets\">set<\/a> is a collection of well-defined objects. A singleton set P having only one element p is written as $P = \\left\\{p\\right\\}$.<\/p>\n\n\n\n<p>The cardinal number is one, and In sets, cardinality is the total number of elements in a set. Before moving on further, let us first consider the definition of the singleton set.<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/compare-the-sets-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_comp_grps_1_pt.png\" alt=\"Compare the Sets of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Compare the Sets of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-out-the-objects-from-a-set\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_count_out_w10_pt.png\" alt=\"Count Out the Objects from a Set Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Count Out the Objects from a Set Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/make-the-sets-of-objects-equal\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_eql_grps_pt.png\" alt=\"Make the Sets of Objects Equal Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Make the Sets of Objects Equal Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/rearrange-groups-to-make-a-set-bigger\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/count_comp_rearrange_grps_pt.png\" alt=\"Rearrange Groups to Make a Set Bigger Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Rearrange Groups to Make a Set Bigger Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-quarter-hours-on-an-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_qrtr_hrs_set_time_words_pt.png\" alt=\"Set Quarter Hours on an Analog Clock Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Quarter Hours on an Analog Clock Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-the-time-after-an-interval\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_interval_pt.png\" alt=\"Set the Time after an Interval Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set the Time after an Interval Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-the-time\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_pt.png\" alt=\"Set the Time Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set the Time Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-in-half-hours\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_half_hours_pt.png\" alt=\"Set Time in Half Hours Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time in Half Hours Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-in-hours\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_set_time_hours_pt.png\" alt=\"Set Time in Hours Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time in Hours Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/set-time-on-an-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_5_mins_set_time_ac_pt.png\" alt=\"Set Time on an Analog Clock Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Set Time on an Analog Clock Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-singleton-set-definition\">Singleton Set: Definition<\/h2>\n\n\n\n<p><strong>A singleton set can be defined as a set containing only one element. A set is a singleton set if and only if it has only one object.&nbsp;<\/strong><\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-fraction-of-a-set-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-fraction-of-a-set-of-objects.jpeg\" alt=\"Find Fraction of a Set of Objects Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/find-fraction-of-a-set\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/find-fraction-of-a-set.jpeg\" alt=\"Find Fraction of a Set Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/represent-a-set-of-data\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/represent-a-set-of-data.jpeg\" alt=\"Represent a Set of Data Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/set-time-on-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/set-time-on-analog-clock.jpeg\" alt=\"Set Time on Analog Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/set-time-on-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/set-time-on-the-clock.jpeg\" alt=\"Set time on the Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/values-of-sets-of-bills\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/values-of-sets-of-bills.jpeg\" alt=\"Values of Sets of Bills Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/write-the-value-of-a-set-of-coins\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/write-the-value-of-a-set-of-coins.jpeg\" alt=\"Write the Value of a Set of Coins Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-cardinality-of-singleton-set\">Cardinality of Singleton Set<\/h2>\n\n\n\n<p>The number of elements in a set is called the cardinality of the set. Thus, the cardinality of a singleton set is 1.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-power-set-of-a-singleton-set\">Power Set of a Singleton Set<\/h2>\n\n\n\n<p>The power set of a set is the set of all subsets of the given set. The number of subsets of a singleton set is two. One subset is the empty set (\u2205), and the other is the set itself. Thus, the power set of any singleton set always contains only 2 elements.<\/p>\n\n\n\n<p><strong>Example: Write the powerset of the set <\/strong>$A = \\left\\{5\\right\\}$<strong>.<\/strong><\/p>\n\n\n\n<p>Powerset of $A = \\left\\{5\\right\\} = P(A) = \\left\\{\u2205, \\left\\{5\\right\\}\\right\\}$&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-properties-of-the-singleton-set\">Properties of the Singleton Set<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A singleton set is a finite set since it has exactly one element.<\/li>\n\n\n\n<li>A singleton set has a cardinality of 1 since the number of elements in the set is one.<\/li>\n\n\n\n<li>Since a singleton set has one element, it becomes a subset of any set that has the same element in it.&nbsp;<\/li>\n\n\n\n<li>A singleton set containing an element \u201ca\u201d and any set not containing the element \u201ca\u201d are always disjoint sets.&nbsp;<\/li>\n\n\n\n<li>Empty set \u2205 is a subset of every set. Thus, it is also a subset of a singleton set.<\/li>\n\n\n\n<li>Empty set and the set itself are the only two subsets of the singleton set.<\/li>\n\n\n\n<li>The cardinality of the powerset of any singleton set is 2.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-singleton-set-examples\">Singleton Set: Examples<\/h2>\n\n\n\n<p>Let\u2019s look at a few examples of singleton sets.<\/p>\n\n\n\n<p><strong>Example 1: <\/strong>$A = \\left\\{\\text{x : x is a natural number less than} 2.\\right\\}$<\/p>\n\n\n\n<p>There\u2019s only one natural number less than 2, which is 1.<\/p>\n\n\n\n<p>Thus, A is a singleton set given by $A = \\left\\{1\\right\\}$.<\/p>\n\n\n\n<p><strong>Example 2: B is the set of vowels in the word MATH.<\/strong><\/p>\n\n\n\n<p>In the word MATH, there\u2019s only one vowel, which is \u201cA.\u201d<\/p>\n\n\n\n<p>Thus, $B = \\left\\{A\\right\\}$ is a singleton set.<\/p>\n\n\n\n<p><strong>Example 3: P is a set of even prime numbers<\/strong><\/p>\n\n\n\n<p>2 is the only even prime number.<\/p>\n\n\n\n<p>Thus, $P = \\left\\{2\\right\\}$ is a singleton set.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-venn-diagram-of-a-singleton-set\">Venn Diagram of a Singleton Set<\/h2>\n\n\n\n<p>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/venn-diagram\">Venn diagram<\/a> of a singleton set is a circle with only one element inside.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"320\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-singleton-set-a.webp\" alt=\"Venn diagram of singleton set {a}\" class=\"wp-image-36040\" title=\"Venn diagram of singleton set {a}\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-singleton-set-a.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/venn-diagram-of-singleton-set-a-300x155.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-singleton-set-vs-empty-set\">Singleton Set vs. Empty Set<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Singleton Set<\/strong><\/th><th><strong>Empty Set<\/strong><\/th><\/tr><\/thead><tbody><tr><td>A singleton set contains only one element.<\/td><td>An empty set has no elements.<\/td><\/tr><tr><td>A singleton set with element x is denoted by $\\left\\{x\\right\\}$.<\/td><td>An empty set is denoted by the symbol \u2205. It is also expressed as $\\left\\{\\right\\}$.<\/td><\/tr><tr><td>If $A = \\left\\{a\\right\\}$, then $n(A) = 1$.<\/td><td>$n(\u2205) = 0$<\/td><\/tr><tr><td>Other names are unit set, one-point set.<\/td><td>Other names are null set, void set.<\/td><\/tr><tr><td>Empty set is always a subset of a singleton set.<\/td><td>Empty set is the only subset of itself.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-is-the-zero-set-0-a-singleton-set\">Is the Zero Set {0} a Singleton Set?<\/h2>\n\n\n\n<p>The zero set {0} is a set with \u201c0\u201d as the only element. Thus, it is a singleton set.&nbsp;<\/p>\n\n\n\n<p>Note that the singleton set {0} is not to be confused with an empty set. An empty set is a set that has no element. It is completely null or void.<\/p>\n\n\n\n<p><strong>{0} <\/strong><strong><\/strong><strong>\u2205<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-facts-about-singleton-set\">Facts about Singleton Set<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Singleton sets are also known as unit sets.<\/li>\n\n\n\n<li>The cardinality of a singleton set is 1.<\/li>\n\n\n\n<li>Singleton sets are always finite sets.<\/li>\n\n\n\n<li>Singleton sets are commonly used in mathematics to represent unique elements.<\/li>\n\n\n\n<li>Every set that contains the single element of a singleton set, is its superset. In other<br>words, a singleton set is a subset of every set that contains its single element.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about singleton sets, notation, examples, and their important properties. Let\u2019s solve a few examples and practice problems for better understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-solved-singleton-set-examples\">Solved Singleton Set Examples<\/h2>\n\n\n\n<p><strong>1. Define the set of even perfect squares less than 10. Is it a singleton set?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let E be the set of even perfect squares less than 10.<\/p>\n\n\n\n<p>Perfect squares less than 10 are 1, 4, 9.<\/p>\n\n\n\n<p>The only even perfect square less than 10 is 4.<\/p>\n\n\n\n<p>Thus, $E = \\left\\{4\\right\\}$ is a singleton set.<\/p>\n\n\n\n<p><strong>2. How many elements does the set <\/strong>$\\left\\{x : \\text{x is an integer such that 998} \\lt x \\lt 1000\\right\\}$<strong> have?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The only integer between 998 and 1000 is 999.<\/p>\n\n\n\n<p>$\\left\\{x : \\text{x is an integer such that} 998 \\lt x \\lt 1000\\right\\} = \\left\\{999\\right\\}$<\/p>\n\n\n\n<p>Thus, the given set has only one element. It is a singleton set.<\/p>\n\n\n\n<p><strong>3. What is the power set of <\/strong>$A = \\left\\{t\\right\\}$<strong>?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>$A = \\left\\{t\\right\\}$<\/p>\n\n\n\n<p>The power set of the set A or P(A) will be the set of all subsets of A.<\/p>\n\n\n\n<p>The subsets of $A = \\left\\{t\\right\\}$ are the empty set and the set itself.<\/p>\n\n\n\n<p>The power set of A will be written as<\/p>\n\n\n\n<p>$P(A) = \\left\\{\u2205, \\left\\{t \\right\\}\\right\\}$<\/p>\n\n\n\n<p><strong>4. Is the set <\/strong>$K =&nbsp; \\left\\{x : \\text{x is a real number such that} x = 9 \\right\\}$<strong> a singleton set?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>3 and -3 are the two square roots of 9.<\/p>\n\n\n\n<p>Thus, $K = \\left\\{3,\\; \\;-\\;3\\right\\}$&nbsp;<\/p>\n\n\n\n<p>K is not a singleton set.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"12-practice-problems-on-singleton-set\">Practice Problems on Singleton Set<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Singleton Set: Definition, Formula, Properties, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which set is a singleton set?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{1, 1, 2, 2, 3, 3\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">\u2205<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{0\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{4, 5, 6\\right\\}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\left\\{0\\right\\}$<br\/>$\\left\\{0\\right\\}$ is a singleton set as it contains a single element.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The power set of $\\left\\{0\\right\\}$ is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{\\left\\{0\\right\\}, \u2205\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{\u2205\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{\\left\\{0\\right\\}\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{0, \u2205\\right\\}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\left\\{\\left\\{0\\right\\}, \u2205\\right\\}$<br\/>Power set of $\\left\\{0\\right\\} = \\left\\{\\left\\{0\\right\\}, \u2205\\right\\}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which one is a subset of a singleton set?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\left\\{\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{0, 1\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\left\\{7, 8, 9\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{5\\right\\}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\left\\{\\right\\}$<br\/>The empty set denoted by$\\left\\{\\right\\}$ is a subset of every set, including singleton sets.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">$\\left\\{1\\right\\}  \\cap \\left\\{0\\right\\} =$ <\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">\u2205<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\left\\{0, 1\\right\\}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">It is a singleton set.<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\left\\{0\\right\\}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: \u2205<br\/>$\\left\\{1\\right\\} \\cap \\left\\{0\\right\\} = \u2205$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The singleton set is also called _____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">null set<\/div><div class=\"spq_answer_block\" data-value=\"1\">disjoint set<\/div><div class=\"spq_answer_block\" data-value=\"2\">unit set<\/div><div class=\"spq_answer_block\" data-value=\"3\">simple set<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: unit set<br\/>A singleton set is also called a unit set.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Singleton Set: Definition, Formula, Properties, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n              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\"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\\\\left\\\\{1\\\\right\\\\} \\\\cap \\\\left\\\\{0\\\\right\\\\} = \u2205$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The singleton set is also called _____.\",\n                    \"text\": \"The singleton set is also called _____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A singleton set is also called a unit set.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"null set\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A singleton set is also called a unit set.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"disjoint set\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A singleton set is also called a unit set.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"simple set\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A singleton set is also called a unit set.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"unit set\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A singleton set is also called a unit set.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A singleton set is also called a unit set.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"13-frequently-asked-questions-on-singleton-set\">Frequently Asked Questions on Singleton Set<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\"><strong>Is a singleton set finite or infinite?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\">\n\n<p>A singleton set contains only one element. Thus, it is a finite set.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\"><strong>Is \u2205 a singleton set?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\">\n\n<p>\u2205 is not a singleton set. It represents an empty set.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\"><strong>Can the union of two singleton sets be a singleton set?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\">\n\n<p>Union of two singleton sets will be a singleton set if and only if two sets are equal.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\"><strong>What are sets?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\">\n\n<p>A set is the collection of well-defined objects.&nbsp;<\/p>\n\n\n\n<p>Example: The collection of colors in a rainbow represents a set with 7 elements.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\"><strong>What is the difference between \u03d5, {\u03d5}, 0 and {0}?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-ff788fdc-1e1f-4eea-9b39-1c0be06a9bf5\">\n\n<p>\u03d5: Empty set<\/p>\n\n\n\n<p>{\u03d5}: A set containing empty set as an only element. This is a singleton set.<\/p>\n\n\n\n<p>0: whole number 0<\/p>\n\n\n\n<p>{0}: A singleton set containing 0 as its only number<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Singleton Set in Math? A singleton set is a set containing a single element. A singleton set is also called a unit set since there\u2019s only one element present in the set.&nbsp; In math, a set is a collection of well-defined objects. A singleton set P having only one element p is &#8230; <a title=\"Singleton Set: Definition, Formula, Properties, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/singleton-set\" aria-label=\"More on Singleton Set: Definition, Formula, Properties, Examples, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-31367","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31367","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=31367"}],"version-history":[{"count":16,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31367\/revisions"}],"predecessor-version":[{"id":36041,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/31367\/revisions\/36041"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=31367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=31367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=31367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}