{"id":4867,"date":"2016-05-18T11:49:00","date_gmt":"2016-05-18T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-10-maths-exercise-1-4\/"},"modified":"2023-03-22T15:21:01","modified_gmt":"2023-03-22T09:51:01","slug":"ncert-solutions-for-class-10-maths-exercise-1-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Exercise 1.4"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#NCERT_Solutions_for_Class_10_Maths_Real_Numbers\" >NCERT Solutions for Class 10 Maths Real Numbers<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#1_Without_actually_performing_the_long_division_state_whether_the_following_rational_numbers_will_have_a_terminating_decimal_expansion_or_a_non-terminating_decimal_expansion\" >1. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#Ans_According_to_Theorem_any_given_rational_number_of_the_form_where_p_and_q_are_co-prime_has_a_terminating_decimal_expansion_if_q_is_of_the_form_where_m_and_n_are_non-negative_integers\" >Ans. According to Theorem, any given rational number of the form where p and q are co-prime, has a terminating decimal expansion if q is of the form , where m and n are non-negative integers.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#2_Write_down_the_decimal_expansions_of_those_rational_numbers_in_Question_1_which_have_terminating_decimal_expansions\" >2. Write down the decimal expansions of those rational numbers in Question 1 which have terminating decimal expansions.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#3_The_following_real_numbers_have_decimal_expansions_as_given_below_In_each_case_decide_whether_they_are_rational_or_not_If_they_are_rational_and_of_the_form_what_can_you_say_about_the_prime_factors_of_q\" >3. The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If, they are rational, and of the form , what can you say about the prime factors of q?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#NCERT_Solutions_for_Class_10_Maths_Exercise_14\" >NCERT Solutions for Class 10 Maths Exercise 1.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/#CBSE_app_for_Class_10\" >CBSE app for Class 10<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 10 Maths Exercise 1.4 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 10 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 10\u00a0Maths\u00a0Real Numbers\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-10-mathematics-real-numbers\/1203\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/10%20Maths%20Book.jpg\" alt=\"NCERT Solutions for Class 10 Maths Exercise 1.4\" width=\"170\" height=\"210\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Real_Numbers\"><\/span>NCERT Solutions for Class 10 Maths Real Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_Without_actually_performing_the_long_division_state_whether_the_following_rational_numbers_will_have_a_terminating_decimal_expansion_or_a_non-terminating_decimal_expansion\"><\/span><strong>1. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong> (i) <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image001.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image003.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image004.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v) <img decoding=\"async\" style=\"height: 42px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image005.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(vi) <img decoding=\"async\" style=\"height: 42px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image006.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(vii) <img decoding=\"async\" style=\"height: 42px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image007.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(viii) <img decoding=\"async\" style=\"height: 42px; width: 22px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image008.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ix) <img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image009.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(x) <img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image010.png\" \/><\/strong><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Ans_According_to_Theorem_any_given_rational_number_of_the_form_where_p_and_q_are_co-prime_has_a_terminating_decimal_expansion_if_q_is_of_the_form_where_m_and_n_are_non-negative_integers\"><\/span><strong>Ans. <\/strong>According to Theorem, any given rational number of the form <img decoding=\"async\" style=\"height: 44px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image011.png\" \/><strong>where <em>p<\/em> and <em>q<\/em> are co-prime<\/strong>, has a terminating decimal expansion if q is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m and n are non-negative integers.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 3125 = <img decoding=\"async\" style=\"height: 22px; width: 172px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 5 and n = 0.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image001.png\" \/> has a <strong>terminating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <\/strong><img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 8 = <img decoding=\"async\" style=\"height: 20px; width: 115px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image014.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 0 and n = 3.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image002.png\" \/> has a <strong>terminating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <\/strong><img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 455 = <img decoding=\"async\" style=\"height: 19px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image015.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is not of the<img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m and n are non-negative integers.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image003.png\" \/> has a <strong>non-terminating repeating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <\/strong><img decoding=\"async\" style=\"height: 42px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image016.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 320 = <img decoding=\"async\" style=\"height: 19px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image017.png\" \/>= <img decoding=\"async\" style=\"height: 22px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image018.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 1 and n = 6.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 38px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image004.png\" \/> has a <strong>terminating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(v) <\/strong><img decoding=\"async\" style=\"height: 42px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image005.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 343 = <img decoding=\"async\" style=\"height: 19px; width: 74px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image019.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is not of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m and n are non-negative integers.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 31px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image005.png\" \/> has <strong>non-terminating repeating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(vi)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image006.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= <img decoding=\"async\" style=\"height: 22px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image020.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 2 and n = 3 are non-negative integers.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image006.png\" \/> has <strong>terminating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(vii)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= <img decoding=\"async\" style=\"height: 22px; width: 82px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is not of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m and n are non-negative integers.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image007.png\" \/> has <strong>non-terminating repeating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(viii) <img decoding=\"async\" style=\"height: 42px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image022.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 79px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 1 and n = 0.<\/p>\n<p style=\"text-align: justify;\">It means rational number <strong><img decoding=\"async\" style=\"height: 42px; width: 22px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image008.png\" \/><\/strong> has <strong>terminating<\/strong> decimal expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(ix)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image024.png\" \/><\/p>\n<p style=\"text-align: justify;\"><em>q <\/em>= 10 = <img decoding=\"async\" style=\"height: 22px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m = 1 and n = 1.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image009.png\" \/> has <strong>terminating decimal<\/strong> expansion.<\/p>\n<p style=\"text-align: justify;\"><strong>(x) <\/strong><img decoding=\"async\" style=\"height: 42px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image026.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image027.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here, denominator is not of the form <img decoding=\"async\" style=\"height: 22px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image012.png\" \/>, where m and n are non-negative integers.<\/p>\n<p style=\"text-align: justify;\">It means rational number <img decoding=\"async\" style=\"height: 42px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image010.png\" \/> has <strong>non-terminating repeating<\/strong> decimal expansion.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 1.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2_Write_down_the_decimal_expansions_of_those_rational_numbers_in_Question_1_which_have_terminating_decimal_expansions\"><\/span><strong>2. Write down the decimal expansions of those rational numbers in Question 1 which have terminating decimal expansions.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> <img decoding=\"async\" style=\"height: 44px; width: 294px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image028.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> <img decoding=\"async\" style=\"height: 44px; width: 275px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image029.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong> <img decoding=\"async\" style=\"height: 44px; width: 385px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image030.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(vi)<\/strong> <img decoding=\"async\" style=\"height: 44px; width: 288px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image031.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(viii)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 173px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image032.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ix)<\/strong> <img decoding=\"async\" style=\"height: 42px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image033.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 10 Maths Exercise 1.4<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_The_following_real_numbers_have_decimal_expansions_as_given_below_In_each_case_decide_whether_they_are_rational_or_not_If_they_are_rational_and_of_the_form_what_can_you_say_about_the_prime_factors_of_q\"><\/span><strong>3. The following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If, they are rational, and of the form <img decoding=\"async\" style=\"height: 44px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image011.png\" \/>, what can you say about the prime factors of q?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i) 43.123456789 <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) 0.1201120012000120000&#8230;<\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 23px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image034.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong> 43.123456789<\/p>\n<p style=\"text-align: justify;\">It is rational because decimal expansion is terminating. Therefore, it can be expressed in <img decoding=\"async\" style=\"height: 44px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image011.png\" \/> form where factors of <em>q<\/em> are of the form <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image035.png\" \/>where <em>n<\/em> and <em>m<\/em> are non-negative integers<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong> 0.1201120012000120000&#8230;<\/p>\n<p style=\"text-align: justify;\">It is irrational because decimal expansion is neither terminating nor non-terminating repeating.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong> <img decoding=\"async\" style=\"height: 23px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\">It is rational because decimal expansion is non-terminating repeating. Therefore, it can be expressed in <img decoding=\"async\" style=\"height: 44px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image011.png\" \/> form where factors of <em>q<\/em> <strong>are not<\/strong> of the form <img decoding=\"async\" style=\"height: 22px; width: 56px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/10\/mathematics\/ch01\/Ex1.4\/image035.png\" \/>where <em>n<\/em> and <em>m<\/em> are non-negative integers.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_10_Maths_Exercise_14\"><\/span>NCERT Solutions for Class 10 Maths Exercise 1.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 10 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 10 Maths have total 15 chapters. 10 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 10 solutions PDF and Maths ncert class 10 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_10\"><\/span>CBSE app for Class 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 10 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 10 Maths Exercise 1.4 Class 10 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class &#8230; <a title=\"NCERT Solutions for Class 10 Maths Exercise 1.4\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths-exercise-1-4\/\" aria-label=\"More on NCERT Solutions for Class 10 Maths Exercise 1.4\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1347,281],"tags":[1042,283,438,321,1485,216],"class_list":["post-4867","post","type-post","status-publish","format-standard","hentry","category-mathematics","category-ncert-solutions","tag-cbse-class-10-mathematics","tag-cbse-study-material","tag-class-10","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 10 Maths Exercise 1.4 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 10 Maths Exercise 1.4 in PDF format for free download. 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