{"id":89628,"date":"2021-04-14T13:46:49","date_gmt":"2021-04-14T08:16:49","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=89628"},"modified":"2022-06-22T11:53:20","modified_gmt":"2022-06-22T06:23:20","slug":"conversion-of-roman-numeration","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/conversion-of-roman-numeration\/","title":{"rendered":"Conversion of Roman Numbers to Numbers &#038; Vice Versa &#8211; Rules, Steps, Examples"},"content":{"rendered":"<p>Lets us learn how to convert roman numerals. So the first thing we need to know is the letters and the numbers that relate to them. By going through this article, you will become familiar with the conversions of roman numerals to Hindu Arabic numbers and vice versa. In addition, we have even jotted down the rules for converting numbers to <a href=\"https:\/\/ccssanswers.com\/roman-numerals\/\">Roman Numerals<\/a> and roman numerals to numbers along with solved examples.<\/p>\n<p>Below is the table of some of the frequently used Roman Numerals and their equivalent Hindu Arabic numbers.<\/p>\n<p><strong>Commonly Used Roman Numerals and their Equivalent Numbers<\/strong><\/p>\n<table>\n<thead>\n<tr>\n<th>Symbols<\/th>\n<th>I<\/th>\n<th>V<\/th>\n<th>X<\/th>\n<th>L<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>M<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Numbers<\/td>\n<td>1<\/td>\n<td>5<\/td>\n<td>10<\/td>\n<td>50<\/td>\n<td>100<\/td>\n<td>500<\/td>\n<td>1000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Read More:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/rules-for-formation-of-roman-numerals\/\">Rules For Formation of Roman Numerals<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/conversion-of-numbers-to-roman-numerals\/\">Conversion of Numbers to Roman Numerals<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/conversion-of-roman-numerals-to-numbers\/\">Conversion of Roman Numerals to Numbers<\/a><\/li>\n<\/ul>\n<h2>How to Convert Roman Numerals to Hindu-Arabic Numbers?<\/h2>\n<p>We have to follow certain rules while converting Hindu\u2013Arabic numerals into roman numbers as mentioned below<\/p>\n<ul>\n<li>Each symbol can only be repeated three times.<\/li>\n<li>Always remember if a smaller number is placed before a larger number, the number has the effect of addition. Which means the smaller number must be added to the larger number.<\/li>\n<li>And if a smaller number is placed after a larger number then we have to perform subtraction, which means we have to subtract the smaller numbers from the larger numbers.<\/li>\n<\/ul>\n<h3>Rules for Converting Numbers to Roman Numerals<\/h3>\n<p>We can covert Hindu\u2013Arabic numerals into roman numbers by following a simple step-by-step process as mentioned below<\/p>\n<p>Step 1: Always expand the given number into thousands, hundreds, tens, and ones. This means we have to divide the given number according to its units.<br \/>\nStep 2: Now after expanding the number we have written the symbols using our standard roman numerals and rules<\/p>\n<p>Now let\u2019s see few examples of how to convert the Hindu \u2013 Arabic numbers to roman numbers.<\/p>\n<h3>Conversion of Numbers to Roman Numerals Examples<\/h3>\n<p><strong>Example 1:<\/strong><br \/>\nLet\u2019s convert 1526 into Roman numerals<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We have to expand our number to convert so,<br \/>\n1526 can be expanded as 1000 + 500 + 20 + 6<br \/>\nNow we know 1000 is M, 500 is D and VI is 6 from the above table.<br \/>\n= M D 20 + VI<br \/>\nBut we don\u2019t know have roman numerals for 20. So we have to expand 20 as<br \/>\n20 = 10 + 10<br \/>\n= XX<br \/>\nSo now our roman numeral for 1526 will be MDXXVI<\/p>\n<p><strong>Example 2: <\/strong><br \/>\nLet\u2019s convert 1879 into Roman numerals<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We have to expand our number to convert so,<br \/>\n1879 can be expanded as 1000 + 800 + 70 + 9<br \/>\nNow we know 1000 is M, and IX is 9 from the above table.<br \/>\n= M 800 + 70 + IX<br \/>\nBut we don\u2019t know have roman numerals for 800 and 70. So we have to expand them as.<br \/>\n800 = 500 + 100 + 100 + 100 and 70 = 50 +10 +10<br \/>\n= D C C C and = L X X<br \/>\nSo now our roman numeral for 1879 will be MDCCCLXXIX<\/p>\n<p><strong>Example 3: <\/strong><br \/>\nLet\u2019s convert 911 into Roman numerals<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We have to expand our number to convert so,<br \/>\n911 can be expanded as 900 + 10 + 1<br \/>\nNow we know 10 is X, and I is 1 from the above table.<br \/>\n= 900 + X + I<br \/>\nBut we don\u2019t know have roman numerals for 900. So we have to expand them as.<br \/>\n900 = 1000 &#8211; 100<br \/>\n= CD<br \/>\nSo now our roman numeral for 991 will be CDXI<\/p>\n<h3>Rules for Conversion of Roman Numerals to Numbers<\/h3>\n<p>We have to follow certain rules while converting roman numbers into Hindu \u2013 Arabic numerals as mentioned below<\/p>\n<ul>\n<li>Find the largest Roman Numeral by using the decimal value.<\/li>\n<li>Now if the largest numeral appears first then we have to count how many times it is repeated. Remember a number can\u2019t be repeated more than three times.<\/li>\n<li>Now if the number is repeated, multiply its value by the number of times it is repeated and then add the value of roman to the value of the decimal number.<\/li>\n<li>If incase largest numeral appears second then subtract the value of the number before its value.<br \/>\nWe have to repeat the above steps till we get our number.<\/li>\n<\/ul>\n<h3>How to Convert Roman Numerals to Hindu Arabic Numbers?<\/h3>\n<p>We can covert roman numbers into Hindi \u2013 Arabic Numerals by following a simple step-by-step process as mentioned below<\/p>\n<ul>\n<li>When a roman number is given we have initially split the given number into digit, double digit, triple digit, quadruple-digit symbols<\/li>\n<li>Now after splitting our given roman number we have to follow the rules mentioned above to obtain result.<\/li>\n<\/ul>\n<h3>Roman Numerals to Hindu Arabic Numbers Examples<\/h3>\n<p>Now let\u2019s see few examples of how to convert the roman numbers into Hindu \u2013 Arabic numerals.<\/p>\n<p><strong>Example 1:<\/strong><br \/>\nConvert MDCCXI into Hindu- Arabic numeral?<\/p>\n<p>Solution:<\/p>\n<p>We have to split it into single digit, double digit, triple digit, quadruple digit symbols so MDCCXI can be split as M + D + C +C + X + I<br \/>\nNow we know M is 1000, D is 500, C is 100, X is 10 and I equals to 1 from the above table.<br \/>\n= 1000 + 500 + 100 + 100 + 10 + 1<br \/>\n= 1711<br \/>\nSo now our Hindu- Arabic numeral for MDCCXI is 1711<\/p>\n<p><strong>Example 2: <\/strong><br \/>\nConvert MCMLX into Hindu- Arabic Numeral?<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We have to split it into a single digit, double-digit, triple-digit, quadruple-digit symbols so MDCCXI can be split as M + CM + L + X<br \/>\nNow we know M is 1000, D is 500, C is 100, X is 10 and I equals 1 from the above table.<br \/>\n= 1000 + 900 + 50 + 10 (Here CM is 900)<br \/>\n= 1960<br \/>\nSo now our Hindu- Arabic numeral for MCMLX is 1960<\/p>\n<p><strong>Example 3: <\/strong><br \/>\nConvert DCCXLIII into Hindu- Arabic Numeral?<\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>We have to split it into single-digit, double-digit, triple-digit, quadruple digit symbols so DCCXLIII can be split as D + C + C + XL + III<br \/>\nNow we know M is 1000, D is 500, C is 100, X is 10 and I equals to 1 from the above table.<br \/>\n= 500 + 100 + 100 + 40 + 3 (Here XL is 40)<br \/>\n= 743<br \/>\nSo now our Hindu- Arabic numeral for DCCXLIII is 743<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lets us learn how to convert roman numerals. So the first thing we need to know is the letters and the numbers that relate to them. By going through this article, you will become familiar with the conversions of roman numerals to Hindu Arabic numbers and vice versa. In addition, we have even jotted down &#8230; <a title=\"Conversion of Roman Numbers to Numbers &#038; Vice Versa &#8211; Rules, Steps, Examples\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/conversion-of-roman-numeration\/\" aria-label=\"More on Conversion of Roman Numbers to Numbers &#038; Vice Versa &#8211; Rules, Steps, Examples\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":90404,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/04\/Conversion-of-Roman-Numeration.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89628"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=89628"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89628\/revisions"}],"predecessor-version":[{"id":136963,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/89628\/revisions\/136963"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/90404"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=89628"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=89628"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=89628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}