{"id":2855,"date":"2022-12-01T07:51:52","date_gmt":"2022-12-01T07:51:52","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2855"},"modified":"2023-01-31T06:46:39","modified_gmt":"2023-01-31T06:46:39","slug":"ncert-solutions-class-8-maths-chapter-1-rational-numbers-ex-1-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-1-rational-numbers-ex-1-2\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 1 Rational Numbers Ex 1.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 1 (Rational Numbers)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 1 Rational Numbers <\/strong>Exercise 1.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 1: Rational Numbers<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-1-rational-numbers-ex-1-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 1.1<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 1.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Represent these numbers on the number line.<br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{4}}\" alt=\"\\mathbf{\\frac{7}{4}}\" align=\"absmiddle\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/strong><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-5}{6}}\" alt=\"\\mathbf{\\frac{-5}{6}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211; <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{7}{4}}\" alt=\"\\mathbf{\\frac{7}{4}}\" align=\"absmiddle\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2861\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1i.png\" alt=\"NCERT Maths Solutions Class 8 \" width=\"512\" height=\"85\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1i.png 512w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1i-300x50.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1i-480x80.png 480w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><br \/>\n<\/strong>Here, point A represents <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{4}\" alt=\"\\frac{7}{4}\" align=\"absmiddle\" \/>\u00a0on the number line.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-5}{6}}\" alt=\"\\mathbf{\\frac{-5}{6}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2862\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1ii.png\" alt=\"NCERT Maths Solutions Class 8 \" width=\"504\" height=\"84\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1ii.png 504w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1ii-300x50.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-1ii-480x80.png 480w\" sizes=\"auto, (max-width: 504px) 100vw, 504px\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Here, point B represents <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-5}{6}\" alt=\"\\frac{-5}{6}\" align=\"absmiddle\" \/>\u00a0on the number line.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Represent <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{11}}\" alt=\"\\mathbf{\\frac{-2}{11}}\" align=\"absmiddle\" \/>, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-5}{11}}\" alt=\"\\mathbf{\\frac{-5}{11}}\" align=\"absmiddle\" \/>, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-9}{11}}\" alt=\"\\mathbf{\\frac{-9}{11}}\" align=\"absmiddle\" \/> on a number line.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;\u00a0<\/strong>We have <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-2}{11},&amp;space;\\frac{-5}{11}&amp;space;and&amp;space;\\frac{-9}{11}\" alt=\"\\frac{-2}{11}, \\frac{-5}{11} and \\frac{-9}{11}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2863\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-2.png\" alt=\"NCERT Maths Solutions Class 8 \" width=\"509\" height=\"82\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-2.png 509w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-2-300x48.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-1.2-Q-2-480x77.png 480w\" sizes=\"auto, (max-width: 509px) 100vw, 509px\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Here, point A represents <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-2}{11}\" alt=\"\\frac{-2}{11}\" align=\"absmiddle\" \/>, point B represents <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-5}{11}\" alt=\"\\frac{-5}{11}\" align=\"absmiddle\" \/>, point C represents <span id=\"MathJax-Element-15-Frame\" class=\"MathJax\" tabindex=\"0\"><span id=\"MathJax-Span-93\" class=\"math\"><span id=\"MathJax-Span-94\" class=\"mrow\"><span id=\"MathJax-Span-95\" class=\"mfrac\"><span id=\"MathJax-Span-96\" class=\"mrow\"><span id=\"MathJax-Span-97\" class=\"mo\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-9}{11}\" alt=\"\\frac{-9}{11}\" align=\"absmiddle\" \/><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Write five rational numbers which are smaller than 2.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong> \u00a0The number 2 can be written as <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{10}\" alt=\"\\frac{20}{10}\" align=\"absmiddle\" \/><br \/>\nHence, we can say that the five rational numbers which are smaller than 2 are:<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{19}{10}\" alt=\"\\frac{19}{10}\" align=\"absmiddle\" \/>, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{18}{10},&amp;space;\\frac{17}{10},&amp;space;\\frac{16}{10}\" alt=\"\\frac{18}{10}, \\frac{17}{10}, \\frac{16}{10}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{10}\" alt=\"\\frac{1}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Find the rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{-2}{5}}\" alt=\"\\mathbf{\\frac{-2}{5}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/>.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong> \u00a0Let us make the denominators the same, say 50.<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-2}{5}\" alt=\"\\frac{-2}{5}\" align=\"absmiddle\" \/>\u00a0 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-2\\times&amp;space;4}{5\\times&amp;space;4}\" alt=\"\\frac{-2\\times 4}{5\\times 4}\" align=\"absmiddle\" \/>\u00a0= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-8}{20}\" alt=\"\\frac{-8}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1\\times&amp;space;10}{2\\times&amp;space;10}\" alt=\"\\frac{1\\times 10}{2\\times 10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{20}\" alt=\"\\frac{10}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Ten rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-8}{20}\" alt=\"\\frac{-8}{20}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{20}\" alt=\"\\frac{10}{20}\" align=\"absmiddle\" \/>\u00a0 are<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-7}{20},\\frac{-6}{20},\\frac{-5}{20},\\frac{-4}{20},\\frac{-3}{20},\\frac{-2}{20},\\frac{-1}{20},0,&amp;space;\\frac{1}{20}\" alt=\"\\frac{-7}{20},\\frac{-6}{20},\\frac{-5}{20},\\frac{-4}{20},\\frac{-3}{20},\\frac{-2}{20},\\frac{-1}{20},0, \\frac{1}{20}\" width=\"279\" height=\"37\" align=\"absmiddle\" \/>\u00a0 and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{20}\" alt=\"\\frac{2}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-7}{20},\\frac{-3}{10},\\frac{-1}{4},\\frac{-1}{5},\\frac{-3}{20},\\frac{-1}{10},\\frac{-1}{20},0,&amp;space;\\frac{1}{20}\" alt=\"\\frac{-7}{20},\\frac{-3}{10},\\frac{-1}{4},\\frac{-1}{5},\\frac{-3}{20},\\frac{-1}{10},\\frac{-1}{20},0, \\frac{1}{20}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Find five rational numbers between:<br \/>\n<\/strong><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><strong><br \/>\n(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-\\frac{3}{2}}\" alt=\"\\mathbf{-\\frac{3}{2}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{3}}\" alt=\"\\mathbf{\\frac{5}{3}}\" align=\"absmiddle\" \/><br \/>\n<\/strong><strong><br \/>\n(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{2}{3}}\" alt=\"\\mathbf{\\frac{2}{3}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{4}{5}}\" alt=\"\\mathbf{\\frac{4}{5}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Let us make the denominators the same, say 60<\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{3}\" alt=\"\\frac{2}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2\\times&amp;space;20}{3\\times&amp;space;20}\" alt=\"\\frac{2\\times 20}{3\\times 20}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{60}\" alt=\"\\frac{40}{60}\" align=\"absmiddle\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{5}&amp;space;=&amp;space;\\frac{4\\times&amp;space;12}{5\\times&amp;space;12}\" alt=\"\\frac{4}{5} = \\frac{4\\times 12}{5\\times 12}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{60}\" alt=\"\\frac{48}{60}\" align=\"absmiddle\" \/><br \/>\nFive rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{40}{60}\" alt=\"\\frac{40}{60}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{60}\" alt=\"\\frac{48}{60}\" align=\"absmiddle\" \/> are<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{41}{60},\\frac{42}{60},\\frac{43}{60},\\frac{44}{60}\" alt=\"\\frac{41}{60},\\frac{42}{60},\\frac{43}{60},\\frac{44}{60}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{45}{60}\" alt=\"\\frac{45}{60}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{41}{60},&amp;space;\\frac{7}{10},\\frac{43}{60},\\frac{11}{15}\" alt=\"\\frac{41}{60}, \\frac{7}{10},\\frac{43}{60},\\frac{11}{15}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-\\frac{3}{2}}\" alt=\"\\mathbf{-\\frac{3}{2}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{5}{3}}\" alt=\"\\mathbf{\\frac{5}{3}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Let us make the denominators the same, say 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?-\\frac{3}{2}\" alt=\"-\\frac{3}{2}\" align=\"absmiddle\" \/> = &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;3}{3\\times&amp;space;2}\" alt=\"\\frac{3\\times 3}{3\\times 2}\" align=\"absmiddle\" \/> = &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{6}\" alt=\"\\frac{9}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{3}\" alt=\"\\frac{5}{3}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5\\times&amp;space;2}{3\\times&amp;space;2}\" alt=\"\\frac{5\\times 2}{3\\times 2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{6}\" alt=\"\\frac{10}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Five rational numbers between &#8211; <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{6}\" alt=\"\\frac{9}{6}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{6}\" alt=\"\\frac{10}{6}\" align=\"absmiddle\" \/> are<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-7}{6}\" alt=\"\\frac{-7}{6}\" align=\"absmiddle\" \/>, <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-5}{6},&amp;space;\\frac{-1}{6},&amp;space;\\frac{1}{6}\" alt=\"\\frac{-5}{6}, \\frac{-1}{6}, \\frac{1}{6}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{6}\" alt=\"\\frac{5}{6}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{4}}\" alt=\"\\mathbf{\\frac{1}{4}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{1}{2}}\" alt=\"\\mathbf{\\frac{1}{2}}\" align=\"absmiddle\" \/><br \/>\n<\/strong>Let us make the denominators the same, say 24<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{4}\" alt=\"\\frac{1}{4}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1\\times&amp;space;6}{4\\times&amp;space;6}\" alt=\"\\frac{1\\times 6}{4\\times 6}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{24}\" alt=\"\\frac{6}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{2}\" alt=\"\\frac{1}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1\\times&amp;space;12}{2\\times&amp;space;12}\" alt=\"\\frac{1\\times 12}{2\\times 12}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{24}\" alt=\"\\frac{12}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Five rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{24}\" alt=\"\\frac{6}{24}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{24}\" alt=\"\\frac{12}{24}\" align=\"absmiddle\" \/> <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{24},\\frac{8}{24},\\frac{9}{24},\\frac{10}{24}\" alt=\"\\frac{7}{24},\\frac{8}{24},\\frac{9}{24},\\frac{10}{24}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{24}\" alt=\"\\frac{11}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{24},&amp;space;\\frac{1}{3},&amp;space;\\frac{3}{8},&amp;space;\\frac{5}{12}\" alt=\"\\frac{7}{24}, \\frac{1}{3}, \\frac{3}{8}, \\frac{5}{12}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{11}{24}\" alt=\"\\frac{11}{24}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Write five rational numbers greater than -2.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong> \u00a0-2 can be written as \u2013 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{20}{10}\" alt=\"\\frac{20}{10}\" align=\"absmiddle\" \/><br \/>\nHence, we can say that the five rational numbers greater than &#8211; 2 are<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{-19}{10},\\frac{-11}{10},&amp;space;\\frac{-1}{10},\\frac{1}{10}\" alt=\"\\frac{-19}{10},\\frac{-11}{10}, \\frac{-1}{10},\\frac{1}{10}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{10}\" alt=\"\\frac{3}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. Find ten rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\frac{3}{5}}\" alt=\"\\mathbf{\\frac{3}{5}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}\" alt=\"\\frac{3}{4}\" align=\"absmiddle\" \/>.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong> \u00a0Let us make the denominators the same, say 80.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}&amp;space;=&amp;space;\\frac{3\\times&amp;space;16}{5\\times&amp;space;16}\" alt=\"\\frac{3}{5} = \\frac{3\\times 16}{5\\times 16}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{80}\" alt=\"\\frac{48}{80}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{4}&amp;space;=&amp;space;\\frac{3\\times&amp;space;20}{4\\times&amp;space;20}\" alt=\"\\frac{3}{4} = \\frac{3\\times 20}{4\\times 20}\" align=\"absmiddle\" \/>\u00a0 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{60}{80}\" alt=\"\\frac{60}{80}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Ten rational numbers between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{48}{80}\" alt=\"\\frac{48}{80}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{60}{80}\" alt=\"\\frac{60}{80}\" align=\"absmiddle\" \/> are<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{49}{80},\\frac{50}{80},&amp;space;\\frac{51}{80},\\frac{52}{80},\\frac{53}{80},\\frac{54}{80},\\frac{55}{80},\\frac{56}{80},\\frac{57}{80}\" alt=\"\\frac{49}{80},\\frac{50}{80}, \\frac{51}{80},\\frac{52}{80},\\frac{53}{80},\\frac{54}{80},\\frac{55}{80},\\frac{56}{80},\\frac{57}{80}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{58}{80}\" alt=\"\\frac{58}{80}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{49}{80},\\frac{5}{8},\\frac{51}{80},\\frac{13}{20},\\frac{53}{80},\\frac{27}{40},\\frac{11}{16},\\frac{7}{10},\\frac{57}{80}\" alt=\"\\frac{49}{80},\\frac{5}{8},\\frac{51}{80},\\frac{13}{20},\\frac{53}{80},\\frac{27}{40},\\frac{11}{16},\\frac{7}{10},\\frac{57}{80}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{29}{40}\" alt=\"\\frac{29}{40}\" align=\"absmiddle\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 1 (Rational Numbers)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 1 Rational Numbers Exercise 1.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 1: Rational Numbers NCERT Solution Class 8 Maths Ex &#8211; 1.1 Exercise [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[443,444,445,5],"class_list":["post-2855","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-1-rational-numbers-in-english","tag-ncert-solutions-class-8-maths-chapter-1-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.5) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 1 Rational Numbers Ex 1.2 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 1 (Rational Numbers)\u00a0The NCERT Solutions in English Language for Class 8 Mathematics Chapter 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