{"id":816,"date":"2025-10-15T11:12:02","date_gmt":"2025-10-15T11:12:02","guid":{"rendered":"https:\/\/kapdec.com\/help\/?post_type=docs&p=816"},"modified":"2026-04-10T10:35:24","modified_gmt":"2026-04-10T10:35:24","slug":"how-do-you-group-and-order-like-and-unlike-decimals","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/how-do-you-group-and-order-like-and-unlike-decimals\/","title":{"rendered":"How do you Group and Order Like and Unlike Decimals?"},"content":{"rendered":"

Grouping and Ordering of Decimals<\/b><\/p>\n

Like and Unlike Decimals<\/b><\/p>\n

Decimals places:<\/b><\/p>\n

The number of digits in the fractional\/ decimals part of a decimal number gives the number of decimal places.<\/p>\n

Examples:<\/b>\u00a0 (i) 5.76 has two decimal places<\/p>\n

(ii) 23.458 has three decimal places<\/p>\n

(iii)0.95 has two decimal places.<\/p>\n

Like Decimals:<\/b><\/p>\n

Like decimals refers to the decimals having same number of decimal places<\/i><\/b>. In other words, decimals having same number of figures on the right side of the decimal point are known as like decimals.<\/p>\n

Example:\u00a0<\/b>7.29, 15.56, 83.99 are like decimals, each having two places of decimal.<\/p>\n

Unlike Decimals:<\/b><\/p>\n

Unlike decimals refers to the decimals having different number of decimal places.<\/i><\/b>\u00a0In other words, decimals having different number of figures on the right side of the decimal point are known as unlike decimals.<\/p>\n

Example:\u00a0<\/b>0.9, 8.37, 4.997 are unlike decimals, since the numbers contain decimal points\u00a0up to\u00a0one, two and three places respectively.<\/p>\n

Converting Unlike Decimals into Like Decimals<\/b><\/p>\n

The unlike decimals can be converted into like decimals by adding appropriate number of zeros to the extreme right of decimal part.<\/p>\n

Note:\u00a0<\/b>The value of a decimal number does not change if more zeroes are added to the extreme right of a decimal.<\/p>\n

Example:\u00a0<\/b>Convert 0.2, 7.25 and 9.393 to like decimals<\/p>\n

Solution:\u00a0<\/b>The number of decimal places in 0.2 = 1<\/p>\n

The number of decimal places in 7.25 = 2<\/p>\n

The number of decimal places in 9.393 = 3<\/p>\n

For converting to like decimals, the three given numbers should have same number of decimal places.<\/p>\n

Since, we cannot remove any number from a decimal place, we add appropriate number of zeroes to make number of decimal places in each according to the maximum decimal place i.e. 3 in the given case<\/p>\n

Thus, 0.200, 7.250 and 9.393 are like decimals.<\/p>\n

Comparison\/ Ascending and Descending Order<\/b><\/p>\n

By converting the unlike decimals into like decimals we can compare the figures. Comparing the decimal figures is as simple as comparing any whole number.<\/p>\n

For\u00a0Example:<\/b><\/p>\n

    \n
  1. Write the following decimal numbers in ascending order:<\/li>\n<\/ol>\n
      \n
    1. 13.01, 13.51, 13.1, 13.001, 13<\/li>\n<\/ol>\n
        \n
      1. 18.23, 14.83, 18.51, 23.55, 15.01<\/li>\n<\/ol>\n

        Solution:\u00a0<\/b><\/p>\n

          \n
        1. Let us first convert all unlike decimals into like decimals. So the numbers will be:<\/li>\n<\/ol>\n

          13.010, 13.510, 13.100, 13.001 and 13.000<\/p>\n

          Then arrange it in ascending order:<\/p>\n

          13.000 < 13.001 < 13.010 < 13.100 < 13.510<\/p>\n

            \n
          1. As all the numbers are in like decimals, the ascending order arrangement:<\/li>\n<\/ol>\n

            14.83 < 15.01 < 18.23 < 18.51 < 23.55<\/p>\n

              \n
            1. Write the following decimals in descending order:<\/li>\n
            2. i.89, 35.78, 12.76, 35.67, 100.01<\/li>\n
            3. 0.001, 0.1, 0.309, 0.189, 0.01<\/li>\n<\/ol>\n

              Solution:\u00a0<\/b><\/p>\n

                \n
              1. As the terms are like decimals, so we can arrange the figures in descending order,<\/li>\n<\/ol>\n

                100.01 > 35.78 > 35.67 > 25.89 > 12.76<\/p>\n

                  \n
                1. As the terms are not in like decimals, we have to convert it into like decimals.<\/li>\n<\/ol>\n

                  The numbers will be, 0.001, 0.100, 0.309, 0.189, 0.010<\/p>\n

                  The numbers in descending order,<\/p>\n

                  0.309 > 0.189 > 0.100 > 0.010 > 0.001<\/p>\n","protected":false},"excerpt":{"rendered":"

                  Grouping and Ordering of Decimals Like and Unlike Decimals Decimals places: The number of digits in the fractional\/ decimals part of a decimal number gives the number of decimal places. Examples:\u00a0 (i) 5.76 has two decimal places (ii) 23.458 has three decimal places (iii)0.95 has two decimal places. Like Decimals: Like decimals refers to the […]<\/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-816","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\/816","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=816"}],"version-history":[{"count":2,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/816\/revisions"}],"predecessor-version":[{"id":1680,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/816\/revisions\/1680"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=816"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=816"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}