{"id":435,"date":"2022-08-12T13:21:01","date_gmt":"2022-08-12T13:21:01","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=435"},"modified":"2024-02-21T06:13:22","modified_gmt":"2024-02-21T06:13:22","slug":"ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-1\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 8 Decimals Ex 8.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 8 (Decimals)<\/span><\/strong><\/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 6 Mathematics <strong>Chapter &#8211; 8 Decimals <\/strong>Exercise 8.1 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-8\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_8_Decimals\" style=\"color: #000000;\">Chapter 8: Decimals<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 8.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 8.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 8.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 8.5<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 8.6<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 8.1<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Write the following numbers in the given table.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-449 \" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q1.png\" alt=\"NCERT Class 6 Math Solution\" width=\"616\" height=\"171\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q1.png 782w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q1-300x83.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q1-768x213.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q1-480x133.png 480w\" sizes=\"auto, (max-width: 616px) 100vw, 616px\" \/><br \/>\n<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Hundreds<br \/>\n(100)<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tens<br \/>\n(10)<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Ones<br \/>\n(1)\u00a0<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tenths<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;(&amp;space;\\frac{1}{2}&amp;space;\\right&amp;space;)\" alt=\"\\left ( \\frac{1}{2} \\right )\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 28%;\">\n<tbody>\n<tr>\n<td style=\"width: 5.5794%;\"><\/td>\n<td style=\"width: 32.1888%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Hundreds<br \/>\n(100)<\/strong><\/span><\/td>\n<td style=\"width: 16.309%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tens<br \/>\n(10)<\/strong><\/span><\/td>\n<td style=\"width: 17.1674%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Ones<br \/>\n(1)<\/strong><\/span><\/td>\n<td style=\"width: 22.7468%; text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tenths<br \/>\n<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;(&amp;space;\\frac{1}{2}&amp;space;\\right&amp;space;)\" alt=\"\\left ( \\frac{1}{2} \\right )\" align=\"absmiddle\" \/><br \/>\n<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.5794%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>a<\/strong><\/span><\/td>\n<td style=\"width: 32.1888%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 16.309%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<td style=\"width: 17.1674%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 22.7468%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 5.5794%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>b<\/strong><\/span><\/td>\n<td style=\"width: 32.1888%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 16.309%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 17.1674%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 22.7468%;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">4<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Write the following decimals in the place value table.<br \/>\n<\/strong>(a) 19.4<br \/>\n(b) 0.3<br \/>\n(c) 10.6<br \/>\n(d) 205.9<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 36.7312%;\">\n<tbody>\n<tr>\n<td style=\"width: 4px;\"><\/td>\n<td style=\"width: 45px;\"><\/td>\n<td style=\"width: 87px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Hundreds<\/strong><\/span><\/td>\n<td style=\"width: 43px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tens<\/strong><\/span><\/td>\n<td style=\"width: 46px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Ones<\/strong><\/span><\/td>\n<td style=\"width: 61px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Tenths<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 4px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong><\/span><\/td>\n<td style=\"width: 45px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">19.4<\/span><\/td>\n<td style=\"width: 87px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 43px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 46px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">9<\/span><\/td>\n<td style=\"width: 61px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 4px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong><\/span><\/td>\n<td style=\"width: 45px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0.3<\/span><\/td>\n<td style=\"width: 87px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 43px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 46px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 61px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 4px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 45px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">10.6<\/span><\/td>\n<td style=\"width: 87px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 43px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1<\/span><\/td>\n<td style=\"width: 46px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 61px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 4px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)\u00a0<\/strong><\/span><\/td>\n<td style=\"width: 45px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">205.9<\/span><\/td>\n<td style=\"width: 87px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">2<\/span><\/td>\n<td style=\"width: 43px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">0<\/span><\/td>\n<td style=\"width: 46px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">5<\/span><\/td>\n<td style=\"width: 61px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">9<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Write each of the following as decimals:<br \/>\n<\/strong>(a) Seven-tenths<br \/>\n(b) Two tens and nine-tenths<br \/>\n(c) Fourteen point six<br \/>\n(d) One hundred and two ones<br \/>\n(e) Six hundred point eight<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) The decimal form of Seven-tenths = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{10}\" alt=\"\\frac{7}{10}\" align=\"absmiddle\" \/> = 0.7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) The decimal form of two tens and nine tenths = 20 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{9}{10}\" alt=\"\\frac{9}{10}\" align=\"absmiddle\" \/> = 20 + 0.9 = 20.9<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) The decimal form of fourteen point six = 14.6<br \/>\n(d) The decimal form of one hundred and two ones = 100 + 2 = 102.0<br \/>\n(e) The decimal form of six hundred point eight = 600.8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Write each of the following as decimals:<br \/>\n<\/strong>(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 3 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{10}\" alt=\"\\frac{7}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 200 + 60 + 5 + <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;\">(d) 70 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{10}\" alt=\"\\frac{8}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{88}{10}\" alt=\"\\frac{88}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(f) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{2}{10}\" alt=\"4\\frac{2}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(h) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{5}\" alt=\"\\frac{12}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(j) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{5}\" alt=\"3\\frac{3}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(k) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{2}\" alt=\"4\\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{5}{10}\" alt=\"\\frac{5}{10}\" align=\"absmiddle\" \/>\u00a0= 0.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 3 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{10}\" alt=\"\\frac{7}{10}\" align=\"absmiddle\" \/> = 3 + 0.7\u00a0= 3.7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 200 + 60 + 5 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{10}\" alt=\"\\frac{1}{10}\" align=\"absmiddle\" \/> = 265 + 0.1\u00a0= 265.1<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) 70 + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{8}{10}\" alt=\"\\frac{8}{10}\" align=\"absmiddle\" \/> = 70 + 0.8\u00a0= 70.8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{88}{10}\" alt=\"\\frac{88}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{80&amp;space;+&amp;space;8}{10}&amp;space;=&amp;space;\\frac{80}{10}&amp;space;+&amp;space;\\frac{8}{10}&amp;space;=&amp;space;8&amp;space;+&amp;space;0.8&amp;space;=&amp;space;8.8\" alt=\"\\frac{80 + 8}{10} = \\frac{80}{10} + \\frac{8}{10} = 8 + 0.8 = 8.8\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(f) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{2}{10}\" alt=\"4\\frac{2}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10&amp;space;\\times&amp;space;4&amp;space;+&amp;space;2}{10}&amp;space;=&amp;space;\\frac{40&amp;space;+&amp;space;2}{10}&amp;space;=&amp;space;\\frac{40}{10}&amp;space;+&amp;space;\\frac{2}{10}\" alt=\"\\frac{10 \\times 4 + 2}{10} = \\frac{40 + 2}{10} = \\frac{40}{10} + \\frac{2}{10}\" 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?4&amp;space;+&amp;space;0.2=&amp;space;4.2\" alt=\"4 + 0.2= 4.2\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(g) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}\" alt=\"\\frac{3}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2+1}{2}&amp;space;=&amp;space;\\frac{2}{2}&amp;space;+&amp;space;\\frac{1}{2}&amp;space;=&amp;space;1&amp;space;+&amp;space;\\frac{1\\times&amp;space;5}{2&amp;space;\\times&amp;space;5}&amp;space;=&amp;space;1&amp;space;+&amp;space;\\frac{5}{10}\" alt=\"\\frac{2+1}{2} = \\frac{2}{2} + \\frac{1}{2} = 1 + \\frac{1\\times 5}{2 \\times 5} = 1 + \\frac{5}{10}\" align=\"absmiddle\" \/><br \/>\n<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 1 + 0.5 = 1.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(h) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}\" alt=\"\\frac{2}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2\\times&amp;space;2}{5\\times&amp;space;2}&amp;space;=&amp;space;\\frac{4}{10}&amp;space;=&amp;space;0.4\" alt=\"\\frac{2\\times 2}{5\\times 2} = \\frac{4}{10} = 0.4\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(i) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{12}{5}\" alt=\"\\frac{12}{5}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10&amp;space;+&amp;space;2}{5}&amp;space;=&amp;space;\\frac{10}{5}&amp;space;+&amp;space;\\frac{2}{5}&amp;space;=&amp;space;2&amp;space;+&amp;space;\\frac{2\\times&amp;space;2}{5\\times&amp;space;2}&amp;space;=&amp;space;2&amp;space;+&amp;space;\\frac{4}{10}\" alt=\"\\frac{10 + 2}{5} = \\frac{10}{5} + \\frac{2}{5} = 2 + \\frac{2\\times 2}{5\\times 2} = 2 + \\frac{4}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 2 + 0.4 = 2.4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(j) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?3\\frac{3}{5}\" alt=\"3\\frac{3}{5}\" align=\"absmiddle\" \/> =\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3\\times&amp;space;5&amp;space;+&amp;space;3}{5}&amp;space;=&amp;space;\\frac{15&amp;space;+&amp;space;3}{3}&amp;space;=&amp;space;\\frac{15}{3}&amp;space;+&amp;space;\\frac{3}{5}\" alt=\"\\frac{3\\times 5 + 3}{5} = \\frac{15 + 3}{3} = \\frac{15}{3} + \\frac{3}{5}\" 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?3&amp;space;+&amp;space;\\frac{3}{5}&amp;space;=&amp;space;3&amp;space;+&amp;space;\\frac{3\\times&amp;space;2}{5\\times&amp;space;2}&amp;space;=&amp;space;3+&amp;space;\\frac{6}{10}\" alt=\"3 + \\frac{3}{5} = 3 + \\frac{3\\times 2}{5\\times 2} = 3+ \\frac{6}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 3 + 0.6 = 3.6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(k) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4\\frac{1}{2}\" alt=\"4\\frac{1}{2}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4\\times&amp;space;2&amp;space;+&amp;space;1}{2}&amp;space;=&amp;space;\\frac{8+1}{2}&amp;space;=&amp;space;\\frac{8}{2}&amp;space;+&amp;space;\\frac{1}{2}\" alt=\"\\frac{4\\times 2 + 1}{2} = \\frac{8+1}{2} = \\frac{8}{2} + \\frac{1}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">\u00a0= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?4&amp;space;+&amp;space;\\frac{1}{2}&amp;space;=&amp;space;4&amp;space;+&amp;space;\\frac{1\\times&amp;space;5}{2\\times&amp;space;5}&amp;space;=&amp;space;4+\\frac{5}{10}\" alt=\"4 + \\frac{1}{2} = 4 + \\frac{1\\times 5}{2\\times 5} = 4+\\frac{5}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 4 +\u00a0 0.5 = 4.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Write the following decimals as fractions. Reduce the fraction to lowest form.<br \/>\n<\/strong>(a) 0.6<br \/>\n(b) 2.5<br \/>\n(c) 1.0<br \/>\n(d) 3.8<br \/>\n(e) 13.7<br \/>\n(f) 21.2<br \/>\n(g) 6.4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)\u00a0<\/strong>0.6 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6}{10}\" alt=\"\\frac{6}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{6\\div2}{10\\div2}\" alt=\"\\frac{6\\div2}{10\\div2}\" 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?\\because\" alt=\"\\because\" align=\"absmiddle\" \/> HCF (6,10) = 2<\/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}\" alt=\"\\frac{3}{5}\" align=\"absmiddle\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong> 2.5 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25}{10}\" alt=\"\\frac{25}{10}\" align=\"absmiddle\" \/> = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{25&amp;space;\\div5}{10\\div5}\" alt=\"\\frac{25 \\div5}{10\\div5}\" 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?\\because\" alt=\"\\because\" align=\"absmiddle\" \/> HCF (25, 10) = 5<\/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}{2}\" alt=\"\\frac{5}{2}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> 1.0 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{10}{10}&amp;space;=&amp;space;1\" alt=\"\\frac{10}{10} = 1\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> 3.8 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{38}{10}&amp;space;=&amp;space;\\frac{38\\div2}{10\\div2}\" alt=\"\\frac{38}{10} = \\frac{38\\div2}{10\\div2}\" 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?\\because\" alt=\"\\because\" align=\"absmiddle\" \/> HCF (38, 10) = 2<\/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{19}{5}\" alt=\"\\frac{19}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e)<\/strong> 13. 7 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{137}{10}\" alt=\"\\frac{137}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f)<\/strong> 21.2 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{212}{10}&amp;space;=&amp;space;\\frac{212&amp;space;\\div&amp;space;2}{10&amp;space;\\div2}\" alt=\"\\frac{212}{10} = \\frac{212 \\div 2}{10 \\div2}\" 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?\\because\" alt=\"\\because\" align=\"absmiddle\" \/> HCF (212, 10) = 2 <\/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{106}{5}\" alt=\"\\frac{106}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g)<\/strong> 6.4 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{64}{10}&amp;space;=&amp;space;\\frac{64\\div2}{10\\div2}\" alt=\"\\frac{64}{10} = \\frac{64\\div2}{10\\div2}\" 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?\\because\" alt=\"\\because\" align=\"absmiddle\" \/> HCF (64, 10) = 2<\/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{32}{5}\" alt=\"\\frac{32}{5}\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>6. Express the following as cm using decimals.<br \/>\n<\/strong>(a) 2 mm<br \/>\n(b) 30 mm<br \/>\n(c) 116 mm<br \/>\n(d) 4 cm 2 mm<br \/>\n(e) 162 mm<br \/>\n(f) 83 mm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">We know that<br \/>\n1 cm = 10 mm<br \/>\n1 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{1}{10}\" alt=\"\\frac{1}{10}\" align=\"absmiddle\" \/>\u00a0 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(a)<\/strong> 2 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{10}\" alt=\"\\frac{2}{10}\" align=\"absmiddle\" \/> cm<br \/>\n= 0.2 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(b)<\/strong> 30 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{30}{10}\" alt=\"\\frac{30}{10}\" align=\"absmiddle\" \/> cm<br \/>\n= 3.0 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c)<\/strong> 116 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{116}{10}&amp;space;cm&amp;space;=&amp;space;\\frac{110&amp;space;+&amp;space;6}{10}cm&amp;space;=&amp;space;11&amp;space;cm+&amp;space;\\frac{6}{10}cm\" alt=\"\\frac{116}{10} cm = \\frac{110 + 6}{10}cm = 11 cm+ \\frac{6}{10}cm\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 11 cm + 0.6 cm = 11.6 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d)<\/strong> 4 cm 2 mm = 4cm + <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{10}\" alt=\"\\frac{2}{10}\" align=\"absmiddle\" \/> cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 4 cm + 0.2 cm = 4.2 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e)<\/strong> 162 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{162}{10}&amp;space;cm&amp;space;=&amp;space;\\frac{160&amp;space;+&amp;space;2}{10}cm&amp;space;=&amp;space;\\frac{160}{10}cm&amp;space;+&amp;space;\\frac{2}{10}cm\" alt=\"\\frac{162}{10} cm = \\frac{160 + 2}{10}cm = \\frac{160}{10}cm + \\frac{2}{10}cm\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 16cm + 0.2 cm = 16.2 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f)<\/strong> 83 mm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{83}{10}&amp;space;cm&amp;space;=&amp;space;\\frac{80+3}{10}cm&amp;space;=&amp;space;\\frac{80}{10}cm&amp;space;+&amp;space;\\frac{3}{10}cm\" alt=\"\\frac{83}{10} cm = \\frac{80+3}{10}cm = \\frac{80}{10}cm + \\frac{3}{10}cm\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 8 cm + 0.3 cm = 8.3 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>7. Between which two whole numbers on the number line are the given numbers lie? <\/strong><strong>Which of these whole numbers is nearer the number?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-450 \" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q7.png\" alt=\"NCERT Class 6 Math Solution\" width=\"604\" height=\"75\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q7.png 773w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q7-300x37.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q7-768x95.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q7-480x60.png 480w\" sizes=\"auto, (max-width: 604px) 100vw, 604px\" \/><br \/>\n<\/strong>(a) 0.8<br \/>\n(b) 5.1<br \/>\n(c) 2.6<br \/>\n(d) 6.4<br \/>\n(e) 9.1<br \/>\n(f) 4.9<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) 0.8 lies between 0 and 1, and is nearer to 1.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 5.1 lies between 5 and 6, and is nearer to 5.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 2.6 lies between 2 and 3, and is nearer to 3.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) 6.4 lies between 6 and 7, and is nearer to 6.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(e) 9.1 lies between 9 and 10, and is nearer to 9.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(f) 4.9 lies between 4 and 5, and is nearer to 5.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. Show the following numbers on the number line.<br \/>\n<\/strong>(a) 0.2<br \/>\n(b) 1.9<br \/>\n(c) 1.1<br \/>\n(d) 2.5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a) 0.2 lies between the points 0 and 1 on the number line. The space between 0 and 1 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 0.2 is the second point between 0 and 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-451 size-full\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8AAns.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"345\" height=\"38\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8AAns.jpg 345w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8AAns-300x33.jpg 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) 1.9 lies between the points 1 and 2 on the number line. The space between 1 and 2 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 1.9 is the ninth point between 1 and 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-452\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8BAns.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"345\" height=\"36\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8BAns.jpg 345w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8BAns-300x31.jpg 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) 1.1 lies between the points 1 and 2 on the number line such that the space between 1 and 2 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 1.1 is the first point between 1 and 2.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-453\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8CAns.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"345\" height=\"36\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8CAns.jpg 345w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8CAns-300x31.jpg 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(d) 2.5 lies between the points 2 and 3 on the number line such that the space between 2 and 3 is divided into 10 equal parts. Therefore each equal part will be equal to one-tenth. 2.5 is the fifth point between 2 and 3.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-454\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8DAns.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"345\" height=\"36\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8DAns.jpg 345w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q8DAns-300x31.jpg 300w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. Write the decimal number represented by the points A, B, C, and D on the given number line.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-455\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q9.png\" alt=\"NCERT Class 6 Math Solution\" width=\"520\" height=\"56\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q9.png 790w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q9-300x32.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q9-768x83.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-8.1Q9-480x52.png 480w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a)\u00a0Point A represents 0.8 cm on the given number line.<br \/>\n(b) Point B represents 1.3 cm on the given number line.<br \/>\n(c) Point C represents 2.2 cm on the given number line.<br \/>\n(d) Point D represents 2.9 cm on the given number line.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10.<\/strong> <strong>(a) The length of Ramesh\u2019s notebook is 9 cm 5 mm. What will be its length in cm?<br \/>\n<\/strong><strong>(b) The length of a young gram plant is 65 mm. Express its length in cm.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(a)\u00a0The length of Ramesh notebook is 9 cm 5 mm<br \/>\nThe length in cm is = 9 cm + 5 mm<br \/>\n= <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?9&amp;space;+&amp;space;\\frac{5}{10}\" alt=\"9 + \\frac{5}{10}\" align=\"absmiddle\" \/> cm <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\because&amp;space;1&amp;space;mm&amp;space;=&amp;space;\\frac{1}{10}&amp;space;cm\" alt=\"\\because 1 mm = \\frac{1}{10} cm\" align=\"absmiddle\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 9 + 0.5 cm<br \/>\n= 9.5 cm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(b) The length of a gram plant is 65 mm<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Hence, the length in cm = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{65}{10}\" alt=\"\\frac{65}{10}\" align=\"absmiddle\" \/>\u00a0 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\because&amp;space;1&amp;space;mm&amp;space;=&amp;space;\\frac{1}{10}&amp;space;cm\" alt=\"\\because 1 mm = \\frac{1}{10} cm\" 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{60&amp;space;+&amp;space;5}{10}&amp;space;=&amp;space;\\frac{60}{10}&amp;space;+&amp;space;\\frac{5}{10}\" alt=\"\\frac{60 + 5}{10} = \\frac{60}{10} + \\frac{5}{10}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 6 + 0.5 cm<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">= 6.5 cm<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 8 (Decimals) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 8 Decimals Exercise 8.1 has been provided here to help the students in solving the questions from this exercise. Chapter 8: Decimals NCERT Solution Class 6 Maths Exercise &#8211; 8.2 NCERT Solution Class 6 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[18,19,4,5],"class_list":["post-435","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-8-decimals-in-english","tag-ncert-solutions-class-6-maths-chapter-8-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 8 Decimals Ex 8.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 8 Decimals Exercise 8.1 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-8-decimals-ex-8-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 8 Decimals Ex 8.1\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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