{"id":744,"date":"2025-10-15T10:50:52","date_gmt":"2025-10-15T10:50:52","guid":{"rendered":"https:\/\/kapdec.com\/help\/?post_type=docs&#038;p=744"},"modified":"2026-04-10T10:53:07","modified_gmt":"2026-04-10T10:53:07","slug":"what-are-order-relations","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/what-are-order-relations\/","title":{"rendered":"What Are Order Relations?"},"content":{"rendered":"<p><b>Order Relations<\/b><\/p>\n<p>&nbsp;<\/p>\n<p><b>Successor &amp; Predecessor<\/b><\/p>\n<p>A number that comes just after\u00a0\u201ca\u00a0given\u201d\u00a0number is called its\u00a0<b>successor<\/b>. It is one more than the given number.<\/p>\n<p>&nbsp;<\/p>\n<p>A\u00a0number that comes just before \u201ca given\u201d\u00a0number is called its\u00a0<b>predecessor<\/b>. It is one less than the given number.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Examples:<\/b><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-745\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r1-300x95.png\" alt=\"\" width=\"300\" height=\"95\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><b>Comparison of Numbers<\/b><\/p>\n<ul>\n<li>When two numbers have\u00a0<b>different number of digits<\/b>:<\/li>\n<\/ul>\n<p>The number with more number of digits is greater than the other one.<\/p>\n<p><b>Examples:<\/b><\/p>\n<ul>\n<li>Compare 292 and 76<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-746\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r2.png\" alt=\"\" width=\"218\" height=\"77\" \/><\/p>\n<p>Since, 292 has more number of digits.<\/p>\n<p>So, 292 &gt; 76<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Compare 2,298 and 26,676<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-747\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r3-300x56.png\" alt=\"\" width=\"300\" height=\"56\" \/><\/p>\n<p>Since, 2,298 has less number of digits.<\/p>\n<p>So, 2,298 &lt; 26,676<\/p>\n<ul>\n<li>Compare 4,98,726 and 57,46,225<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-748\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r4-300x37.png\" alt=\"\" width=\"300\" height=\"37\" \/><\/p>\n<p>Since, 4,98,726 has less number of digits.<\/p>\n<p>So, 4,98,726 &lt; 57,46,225.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>When two numbers have\u00a0<b>same number of digits<\/b><\/li>\n<\/ul>\n<p>For numbers with same digits, we start comparing the digits with leftmost place in both numbers. The number with greater digit in the same place is greater.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Examples:<\/b><\/p>\n<ul>\n<li>Compare 381 and 981<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-749\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r5.png\" alt=\"\" width=\"229\" height=\"56\" \/><\/p>\n<p>Both are 3-digit numbers. We compare both the numbers starting from leftmost place and compare the digits of the two numbers. We see<\/p>\n<p>3 Hundreds &lt; 9 Hundreds<\/p>\n<p>So, 381 &lt; 981<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>Compare 72,630 and 76,630<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-750\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r6-300x49.png\" alt=\"\" width=\"300\" height=\"49\" \/><\/p>\n<p>Both are 5-digit numbers. We compare both the numbers starting from leftmost place and compare the digits of the two numbers. We see<\/p>\n<p>2 Thousands &lt; 6 Thousands<\/p>\n<p>So, 72,630 &lt; 76,630<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>\u00a0Compare 52,62,781 and 52,26,781<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-751\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r7-300x36.png\" alt=\"\" width=\"300\" height=\"36\" \/><\/p>\n<p>Both are 7-digit numbers. We compare both the numbers starting from leftmost place and compare the digits of the two numbers. We see<\/p>\n<p>6 Ten Thousands&gt; 2 Ten Thousands<\/p>\n<p>So, 52,62,781 &gt; 52,26,781.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Ascending &amp; Descending Order<\/b><\/p>\n<ul>\n<li>Ascending order is arranging the numbers from smallest to biggest number.<\/li>\n<li>Descending order is arranging the numbers from biggest to smallest number.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>Examples:<\/b><\/p>\n<p>Arrange the following in ascending and descending order<\/p>\n<ol>\n<li>107: 409 : 333 : 548 : 991<\/li>\n<\/ol>\n<ol>\n<li>10,706: 14,066: 96,332: 42,548 : 14,991<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p><b>Solution:<\/b><\/p>\n<p>(a)\u00a0107 : 409 : 333 : 548 : 991<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-752\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r8.png\" alt=\"\" width=\"181\" height=\"106\" \/><\/p>\n<p><b>Ascending Order:<\/b><\/p>\n<p>&nbsp;<\/p>\n<p>107 &lt;\u00a0333 &lt; 409 &lt; 548 &lt; 991<\/p>\n<p>&nbsp;<\/p>\n<p><b>Descending Order:<\/b><\/p>\n<p>&nbsp;<\/p>\n<p>991 &gt;\u00a0548 &gt; 409 &gt; 333 &gt; 107<\/p>\n<p>&nbsp;<\/p>\n<p>(b)\u00a010,706: 14,066: 96,332 : 42,548 : 14,991<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-753\" src=\"https:\/\/kapdec.com\/help\/venture\/wp-content\/uploads\/2025\/10\/r9.png\" alt=\"\" width=\"237\" height=\"123\" \/><\/p>\n<p><b>Ascending Order:<\/b><\/p>\n<p>10,706 &lt; 14,066 &lt; 14,991 &lt; 42,548 &lt; 96,332<\/p>\n<p><b>Descending Order:<\/b><\/p>\n<p>96,332 &gt; 42,548 &gt; 14,991 &gt; 14,066 &gt; 10,706<\/p>\n<p>&nbsp;<\/p>\n<p><b>Formation of Greatest and Smallest number<\/b><\/p>\n<ul>\n<li>To form the greatest number, the digits are arranged in descending order.<\/li>\n<\/ul>\n<ul>\n<li>To form the smallest number, the digits are arranged in ascending order.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p><b>Example:<\/b><\/p>\n<p>Write the greatest and smallest\u00a0<b>4-digit numbers<\/b>\u00a0using the given digits (without repetition).<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>3,8,1,6<\/b><\/li>\n<\/ul>\n<p>Arranging the digits in descending order we get 8,6,3,1<\/p>\n<p>So, the\u00a0<b>greatest 4-digit<\/b>\u00a0number is\u00a0<b>8,631<\/b>.<\/p>\n<p>Arranging the digits in ascending order we get 1,3,6,8<\/p>\n<p>So, the\u00a0<b>smallest 4-digit<\/b>\u00a0number is\u00a0<b>1,368<\/b>.<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><b>6,7,0,9<\/b><\/li>\n<\/ul>\n<p>Arranging the digits in descending order we get 9,7,6,0<\/p>\n<p>So, the\u00a0<b>greatest 4-digit<\/b>\u00a0number is\u00a0<b>9,760.<\/b><\/p>\n<p>Arranging the digits in ascending order we get 0,6,7,9<\/p>\n<p>So, the\u00a0<b>smallest 4-digit<\/b>\u00a0number is\u00a0<b>6,079.<\/b><\/p>\n<p>&nbsp;<\/p>\n<p><b>Do Remember:<\/b>\u00a0While forming smallest numbers when \u201c0\u201d is given as a digit, \u201c0\u201d comes in the second place of the smallest number.<\/p>\n<p>&nbsp;<\/p>\n<p><b>Fun Facts<\/b><\/p>\n<ul>\n<li>Zero is the only number known with so many names which include zip, zilch,\u00a0nil, nought, naught.<\/li>\n<li>Googol is the number \u201cone\u201d followed by one hundred zeros.\u00a0In fact, Google\u2019s\u00a0name came\u00a0from misspelling of this word.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Order Relations &nbsp; Successor &amp; Predecessor A number that comes just after\u00a0\u201ca\u00a0given\u201d\u00a0number is called its\u00a0successor. It is one more than the given number. &nbsp; A\u00a0number that comes just before \u201ca given\u201d\u00a0number is called its\u00a0predecessor. It is one less than the given number. &nbsp; Examples: &nbsp; &nbsp; Comparison of Numbers When two numbers have\u00a0different number of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[590],"tags":[595],"class_list":["post-744","post","type-post","status-publish","format-standard","hentry","category-grade-5","tag-grade-5-mathematics"],"_links":{"self":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/744","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/comments?post=744"}],"version-history":[{"count":1,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/744\/revisions"}],"predecessor-version":[{"id":1560,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/744\/revisions\/1560"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}