{"id":1643,"date":"2022-11-02T09:44:29","date_gmt":"2022-11-02T09:44:29","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1643"},"modified":"2022-11-02T09:44:29","modified_gmt":"2022-11-02T09:44:29","slug":"ncert-solutions-class-7-maths-chapter-1-integers-ex-1-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-1-integers-ex-1-1\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 1 Integers Ex 1.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Maths<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 1 (Integers)<\/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 7 Mathematics <strong>Chapter &#8211; 1 Integers <\/strong>Exercise 1.1 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-1\"><span id=\"Chapter_1_Knowing_Our_Numbers\" style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter 1: Integers <\/span><\/h4>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-1-integers-ex-1-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 1.2<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-1-integers-ex-1-3\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 1.3<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-1-integers-ex-1-4\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 1.4<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 1.1<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Following number line shows the temperature in degree celsius (c<sup>o<\/sup>) at different places on a particular day.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1644\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"821\" height=\"95\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q1.png 821w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q1-300x35.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q1-768x89.png 768w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q1-480x56.png 480w\" sizes=\"auto, (max-width: 821px) 100vw, 821px\" \/><br \/>\n(a) Observe this number line and write the temperature of the places marked on it.<\/strong><br \/>\n<strong>Solution &#8211;<br \/>\n<\/strong><\/span><\/p>\n<table style=\"width: 50%;\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\"><strong>Cities<\/strong><\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\"><strong>Temperature<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\">Lahulspriti<\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\">-8\u00b0C<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\">Srinagar<\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\">-2\u00b0C<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\">Shimla<\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\">5\u00b0C<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\">Ooty<\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\">14\u00b0C<\/span><\/td>\n<\/tr>\n<tr>\n<td width=\"132\"><span style=\"color: #000000;\">Bengaluru<\/span><\/td>\n<td width=\"132\"><span style=\"color: #000000;\">22\u00b0C<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) What is the temperature difference between the hottest and the coldest places among the above?<\/strong><br \/>\n<strong>Solution &#8211;<br \/>\n<\/strong>The temperature at the hottest place i.e., Bengaluru = 22<sup>o<\/sup>C<br \/>\nThe temperature at the coldest place i.e., Lahulspiti =\u00a0 -8<sup>o<\/sup>C<br \/>\nTemperature difference between hottest and coldest place is = 22<sup>o<\/sup>C \u2013 (-8<sup>o<\/sup>C)<br \/>\n= 22<sup>o<\/sup>C + 8<sup>o<\/sup>C<br \/>\n= 30<sup>o<\/sup>C<br \/>\nHence, the temperature difference between the hottest and the coldest place is 30<sup>o<\/sup>C.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c) What is the temperature difference between Lahulspriti and Srinagar?<\/strong><br \/>\n<strong>Solution &#8211;<br \/>\n<\/strong>The temperature at the Lahulspiti is -8<sup>o<\/sup>C<br \/>\nThe temperature at the Srinagar is -2<sup>o<\/sup>C<br \/>\n\u2234 The temperature difference between Lahulspiti and Srinagar is = -2<sup>o<\/sup>C \u2013 (8<sup>o<\/sup>C)<br \/>\n= \u2013 2<sup>O<\/sup>C + 8<sup>o<\/sup>C<br \/>\n= 6<sup>o<\/sup>C<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Temperature of Srinagar = -2\u00b0C<\/span><br \/>\n<span style=\"color: #000000;\">Temperature of Shimla = 5\u00b0C<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Temperature of the above cities taken together<\/span><br \/>\n<span style=\"color: #000000;\">= -2\u00b0C + 5\u00b0C = 3\u00b0C<\/span><br \/>\n<span style=\"color: #000000;\">Temperature of Shimla = 5\u00b0C<\/span><br \/>\n<span style=\"color: #000000;\">Hence, the temperature of Srinagar and Shimla taken together is less than that of Shimla by 2\u00b0C.<\/span><br \/>\n<span style=\"color: #000000;\">i.e., (5\u00b0C \u2013 3\u00b0C) = 2\u00b0C<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. In a quiz, positive marks are given for correct answers and negative marks are given <\/strong><strong>for incorrect answers. If Jack\u2019s scores in five successive rounds were 25, \u2013 5, \u2013 10, <\/strong><strong>15 and 10, what was his total at the end?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Given Jack\u2019s scores are 25, -5, -10, 15, 10<br \/>\nThe total score of Jack at the end will be = 25 + (-5) + (-10) + 15 + 10<br \/>\n= 25 \u2013 5 \u2013 10 + 15 + 10<br \/>\n= 50 \u2013 15<br \/>\n= 35<br \/>\n\u2234 Jack\u2019s total score at the end is 35.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. At Srinagar temperature was \u2013 5\u00b0C on Monday and then it dropped by 2\u00b0C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4\u00b0C. What was the temperature on this day?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Initial temperature of Srinagar on Monday = -5\u00b0C<br \/>\nTemperature on Tuesday at Srinagar is dropped by 2<sup>o<\/sup>C = Temperature on Monday \u2013 2<sup>o<\/sup>C<br \/>\nTemperature on Tuesday = -5\u00b0C \u2013 2\u00b0C = -7\u00b0C<br \/>\nTemperature on Wednesday at Srinagar is rose by 4<sup>o<\/sup>C = Temperature on Tuesday + 4<sup>o<\/sup>C<br \/>\n\u2234 Temperature on Wednesday = -7\u00b0C + 4\u00b0C = -3\u00b0C<br \/>\nThus, the temperature on Tuesday and Wednesday was -7<sup>o<\/sup>C and -3<sup>o<\/sup>C respectively.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1645\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q4.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"213\" height=\"238\" \/><br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Height of the flying plane = 5000 m<br \/>\nDepth of the submarine = -1200 m<br \/>\n\u2234 Distance between them<br \/>\n= + 5000 m \u2013 (-1200 m)<br \/>\n= 5000 m + 1200 m = 6200 m<br \/>\nHence, the vertical distance = 6200 m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Mohan deposits \u20b92,000 in his bank account and withdraws \u20b91,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan\u2019s account after the withdrawal.<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>The deposited amount will be represented by a positive integer i.e., \u20b92000.<\/span><br \/>\n<span style=\"color: #000000;\">Amount withdrawn = \u20b91,642<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 Balance in the account<\/span><br \/>\n<span style=\"color: #000000;\">= \u20b92,000 \u2013 \u20b91,642 = \u20b9358<\/span><br \/>\n<span style=\"color: #000000;\">Hence, the balance in Mohan\u2019s account after the withdrawal is \u20b9358<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1646 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q6.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"665\" height=\"61\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q6.png 665w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q6-300x28.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q6-480x44.png 480w\" sizes=\"auto, (max-width: 665px) 100vw, 665px\" \/><\/span><br \/>\n<span style=\"color: #000000;\"><strong>Solution:-<br \/>\n<\/strong>Rita travels a distance in east direction = 20 km<br \/>\nRita travels a distance in west direction = \u2013 30 km<br \/>\n\u2234 Distance travelled from A = 20 + (- 30)<br \/>\n= 20 \u2013 30<br \/>\n= &#8211; 10 km<br \/>\nHence, the required position of Rita will be presented by a negative number, i.e., -10 km.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square<\/strong>.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1647\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q7.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"383\" height=\"142\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q7.png 383w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q7-300x111.png 300w\" sizes=\"auto, (max-width: 383px) 100vw, 383px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>First we consider the square (i)<br \/>\n<\/strong>By adding the numbers in each rows we get,<br \/>\n= 5 + (- 1) + (- 4) = 5 \u2013 1 \u2013 4 = 5 \u2013 5 = 0<br \/>\n= -5 + (-2) + 7 = \u2013 5 \u2013 2 + 7 = -7 + 7 = 0<br \/>\n= 0 + 3 + (-3) = 3 \u2013 3 = 0<br \/>\nBy adding the numbers in each columns we get,<br \/>\n= 5 + (- 5) + 0 = 5 \u2013 5 = 0<br \/>\n= (-1) + (-2) + 3 = -1 \u2013 2 + 3 = -3 + 3 = 0<br \/>\n= -4 + 7 + (-3) = -4 + 7 \u2013 3 = -7 + 7 = 0<br \/>\nBy adding the numbers in diagonals we get,<br \/>\n= 5 + (-2) + (-3) = 5 \u2013 2 \u2013 3 = 5 \u2013 5 = 0<br \/>\n= -4 + (-2) + 0 = \u2013 4 \u2013 2 = -6<br \/>\nBecause sum of one diagonal is not equal to zero, So, <strong>Square (i) is not a magic square<\/strong>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Now, we consider the square (ii)<br \/>\n<\/strong>By adding the numbers in each rows we get,<br \/>\n= 1 + (-10) + 0 = 1 \u2013 10 + 0 = -9<br \/>\n= (-4) + (-3) + (-2) = -4 \u2013 3 \u2013 2 = -9<br \/>\n= (-6) + 4 + (-7) = -6 + 4 \u2013 7 = -13 + 4 = -9<br \/>\nBy adding the numbers in each columns we get,<br \/>\n= 1 + (-4) + (-6) = 1 \u2013 4 \u2013 6 = 1 \u2013 10 = -9<br \/>\n= (-10) + (-3) + 4 = -10 \u2013 3 + 4 = -13 + 4<br \/>\n= 0 + (-2) + (-7) = 0 \u2013 2 \u2013 7 = -9<br \/>\nBy adding the numbers in diagonals we get,<br \/>\n= 1 + (-3) + (-7) = 1 \u2013 3 \u2013 7 = 1 \u2013 10 = -9<br \/>\n= 0 + (-3) + (-6) = 0 \u2013 3 \u2013 6 = -9<br \/>\nThis <strong>square (ii) is a magic square<\/strong>, because sum of each row, each column and diagonal is equal to -9.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>8. Verify a \u2013 (\u2013 b) = a + b for the following values of a and b.<br \/>\n<\/strong><strong>(i) a = 21, b = 18<br \/>\n(ii) a = 118, b = 125<br \/>\n(iii) a = 75, b = 84<br \/>\n(iv) a= 28, 6 = 11<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i)<\/strong> <strong>a = 21, b = 18<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">a \u2013 (-b) = a + b<\/span><br \/>\n<span style=\"color: #000000;\">LHS = 21 \u2013 (-18) = 21 + 18 = 39<\/span><br \/>\n<span style=\"color: #000000;\">RHS = 21 + 18 = 39<\/span><br \/>\n<span style=\"color: #000000;\">LHS = RHS Hence, verified.<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(ii)<\/strong> <strong>a = 118, b = 125<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">a \u2013 (-b) = a + b<\/span><br \/>\n<span style=\"color: #000000;\">LHS = 118 \u2013 (-125) = 118 + 125 = 243<\/span><br \/>\n<span style=\"color: #000000;\">RHS = 118 + 125 = 243<\/span><br \/>\n<span style=\"color: #000000;\">LHS = RHS Hence, verified.<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iii)<\/strong> <strong>a = 75, b = 84<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">a \u2013 (-b) = a + b<\/span><br \/>\n<span style=\"color: #000000;\">LHS = 75 \u2013 (-84) = 75 + 84 = 159<\/span><br \/>\n<span style=\"color: #000000;\">RHS = 75 + 84 = 159<\/span><br \/>\n<span style=\"color: #000000;\">LHS = RHS Hence, verified.<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv)<\/strong> <strong>a= 28, 6 = 11<\/strong><\/span><br \/>\n<span style=\"color: #000000;\">a \u2013 (-b) = a + b<\/span><br \/>\n<span style=\"color: #000000;\">LHS = 28 \u2013 (-11) = 28 + 11 = 39<\/span><br \/>\n<span style=\"color: #000000;\">RHS = 28 + 11 = 28 + 11 = 39<\/span><br \/>\n<span style=\"color: #000000;\">LHS = RHS Hence, verified.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>9. Use the sign of &gt;, &lt; or = in the box to make the statements true.<br \/>\n<\/strong><strong>(a) (-8) + (-4)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a0(-8) \u2013 (-4)<br \/>\n(b) (-3) + 7 \u2013 (19)\u00a0 \u00a0 \u00a0 \u00a0 [\u00a0 ]\u00a0 \u00a015 \u2013 8 + (-9)<br \/>\n(c) 23 \u2013 41 + 11\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a023 \u2013 41 \u2013 11<br \/>\n(d) 39 + (-24) \u2013 (15)\u00a0 \u00a0[\u00a0 ]\u00a0 \u00a036 + (-52) \u2013 (-36)<br \/>\n(e) -231 + 79 + 51\u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a0-399 + 159 + 81<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n(a) (-8) + (-4)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a0(-8) \u2013 (-4)<br \/>\n<\/strong>LHS = (-8) + (-4) = -8 \u2013 4 = \u2013 12<br \/>\nRHS = (-8) \u2013 (-4) = -8 + 4 = -4<br \/>\nHere \u2013 12 &lt; -4<br \/>\nHence, (-8) + (-4) [&lt;] (-8) \u2013 (-4)<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(b) (-3) + 7 \u2013 (19)\u00a0 \u00a0 \u00a0 \u00a0 [\u00a0 ]\u00a0 \u00a015 \u2013 8 + (-9)<br \/>\n<\/strong>LHS = (-3) + 7 \u2013 (19) = -3 + 7 &#8211; 19<br \/>\n= -3 \u2013 19 + 7<br \/>\n= -22 + 1 = -15<br \/>\nRHS = 15 \u2013 8 + (-9)<br \/>\n= 15-8-9<br \/>\n= 15 \u2013 17 = -2<br \/>\nHere -15 &lt; -2<br \/>\nHence, (-3) + 7 \u2013 (19) [&lt;] 15 \u2013 8 + (-9)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(c) 23 \u2013 41 + 11\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a023 \u2013 41 \u2013 11<br \/>\n<\/strong>LHS = 23 \u2013 41 + 11<br \/>\n= 23 + 11 \u2013 41<br \/>\n= 34 \u2013 41 = -7<br \/>\nRHS = 23 \u2013 41 \u2013 11<br \/>\n= 23 \u2013 52 = -29<br \/>\nHere, -7 &gt; -29<br \/>\nHence, 23 \u2013 41 + 11 [&gt;] 23 \u2013 41 \u2013 11<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(d) 39 + (-24) \u2013 (15)\u00a0 \u00a0[\u00a0 ]\u00a0 \u00a036 + (-52) \u2013 (-36)<br \/>\n<\/strong>LHS = 39 + (-24) \u2013 (15)<\/span><br \/>\n<span style=\"color: #000000;\">= 39 \u2013 24 \u2013 15<\/span><br \/>\n<span style=\"color: #000000;\">= 39 \u2013 39 = 0<\/span><br \/>\n<span style=\"color: #000000;\">RHS = 36 + (-52) \u2013 (-36) = 36 \u2013 52 + 36<\/span><br \/>\n<span style=\"color: #000000;\">= 36 + 36 \u2013 52<\/span><br \/>\n<span style=\"color: #000000;\">= 72 \u2013 52 = 20<\/span><br \/>\n<span style=\"color: #000000;\">Here 0 &lt; 20<\/span><br \/>\n<span style=\"color: #000000;\">Hence, 39 + (-24) \u2013 (15) [&lt;] 36 + (-52) \u2013 (-36)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(e) -231 + 79 + 51\u00a0 \u00a0 \u00a0 \u00a0 \u00a0[\u00a0 ]\u00a0 \u00a0-399 + 159 + 81<br \/>\n<\/strong>LHS = -231 + 79 + 51 = -231 + 130 = -101<\/span><br \/>\n<span style=\"color: #000000;\">RHS = -399 + 159 + 81 = -399 + 240 = -159<\/span><br \/>\n<span style=\"color: #000000;\">Here, -101 &gt; -159<\/span><br \/>\n<span style=\"color: #000000;\">Hence, -231 + 79 + 51 [&gt;] -399 + 159 + 81<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>10. A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1649\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q10.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"237\" height=\"246\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q10.png 309w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/09\/NCERT-Solutions-Class-7-Maths-Ex-1.1-Q10-289x300.png 289w\" sizes=\"auto, (max-width: 237px) 100vw, 237px\" \/><br \/>\n<\/strong><strong>(i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Initially monkey is sitting on the top most step i.e., first step<br \/>\nIn 1<sup>st<\/sup>\u00a0jump monkey will be at step = 1 + 3 = 4 steps<br \/>\nIn 2<sup>nd<\/sup>\u00a0jump monkey will be at step = 4 + (-2) = 4 \u2013 2 = 2 steps<br \/>\nIn 3<sup>rd<\/sup>\u00a0jump monkey will be at step = 2 + 3 = 5 steps<br \/>\nIn 4<sup>th\u00a0<\/sup>jump monkey will be at step = 5 + (-2) = 5 \u2013 2 = 3 steps<br \/>\nIn 5<sup>th<\/sup>\u00a0jump monkey will be at step = 3 + 3 = 6 steps<br \/>\nIn 6<sup>th<\/sup>\u00a0jump monkey will be at step = 6 + (-2) = 6 \u2013 2 = 4 steps<br \/>\nIn 7<sup>th<\/sup>\u00a0jump monkey will be at step = 4 + 3 = 7 steps<br \/>\nIn 8<sup>th<\/sup>\u00a0jump monkey will be at step = 7 + (-2) = 7 \u2013 2 = 5 steps<br \/>\nIn 9<sup>th\u00a0<\/sup>jump monkey will be at step = 5 + 3 = 8 steps<br \/>\nIn 10<sup>th<\/sup>\u00a0jump monkey will be at step = 8 + (-2) = 8 \u2013 2 = 6 steps<br \/>\nIn 11<sup>th<\/sup> jump monkey will be at step = 6 + 3 = 9 steps (Water level)<br \/>\nHence the required number of jumps = 11.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>Initially monkey is sitting on the ninth step i.e., at the water level<br \/>\nIn 1<sup>st<\/sup>\u00a0jump monkey will be at step = 9 + (-4) = 9 \u2013 4 = 5 steps<br \/>\nIn 2<sup>nd<\/sup>\u00a0jump monkey will be at step = 5 + 2 = 7 steps<br \/>\nIn 3<sup>rd<\/sup>\u00a0jump monkey will be at step = 7 + (-4) = 7 \u2013 4 = 3 steps<br \/>\nIn 4<sup>th\u00a0<\/sup>jump monkey will be at step = 3 + 2 = 5 steps<br \/>\nIn 5<sup>th<\/sup> jump monkey will be at step = 5 + (-4) = 5 \u2013 4 = 1 step<br \/>\n\u2234 Monkey took 5 jumps to reach back the top step i.e., first step.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following; (a) \u2013 3 + 2 \u2013 \u2026 = \u2013 8 (b) 4 \u2013 2 + \u2026 = 8. In (a) the sum (\u2013 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?<br \/>\n<\/strong><strong>Solution &#8211;<br \/>\n<\/strong>From the question, it is given that<br \/>\nIf the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers.<br \/>\nMonkey moves in part (i)<br \/>\n= \u2013 3 + 2 \u2013 \u2026\u2026\u2026.. = \u2013 8<br \/>\nThen LHS = \u2013 3 + 2 \u2013 3 + 2 \u2013 3 + 2 \u2013 3 + 2 \u2013 3 + 2 \u2013 3<br \/>\n= \u2013 18 + 10<br \/>\n= \u2013 8<br \/>\nRHS = -8<br \/>\n\u2234 Moves in part (i) represents monkey is going down 8 steps. Because negative integer.<br \/>\nNow,<br \/>\nMonkey moves in part (ii)<br \/>\n= 4 \u2013 2 + \u2026\u2026\u2026.. = 8<br \/>\nThen LHS = 4 \u2013 2 + 4 \u2013 2 + 4<br \/>\n= 12 \u2013 4<br \/>\n= 8<br \/>\nRHS = 8<br \/>\n\u2234 Moves in part (ii) represents monkey is going up 8 steps. Because positive integer.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Maths Chapter &#8211; 1 (Integers) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 1 Integers Exercise 1.1 has been provided here to help the students in solving the questions from this exercise. Chapter 1: Integers NCERT Solution Class 7 Maths Exercise &#8211; 1.2 NCERT Solution Class 7 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[281,282,283,5],"class_list":["post-1643","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-1-integers-in-english","tag-ncert-solutions-class-7-maths-chapter-1-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 7 Maths Chapter 1 Integers Ex 1.1 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 7 Maths Chapter - 1 (Integers)The NCERT Solutions in English Language for Class 7 Mathematics Chapter - 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