{"id":4283,"date":"2016-05-13T11:49:00","date_gmt":"2016-05-13T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-7-maths-integers-ex-1-1\/"},"modified":"2018-07-06T15:05:50","modified_gmt":"2018-07-06T09:35:50","slug":"ncert-solutions-for-class-7-maths-exercise-1-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 1.1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#NCERT_Solutions_for_Class_7_Maths_Integers\" >NCERT Solutions for Class 7 Maths\u00a0Integers<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_1Following_number_line_shows_the_temperature_in_degree_Celsius_texcirc_texC_at_different_places_on_a_particular_day\" >Question 1.Following number line shows the temperature in degree Celsius {{tex}{}^\\circ {\/tex}C} at different places on a particular day:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_2In_a_quiz_positive_marks_are_given_for_correct_answers_and_negative_marks_are_given_for_incorrect_answers_If_jacks_scores_in_five_successive_rounds_were_tex25_%E2%80%93_5_%E2%80%93_1015texand_10_what_was_his_total_at_the_end\" >Question 2.In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If jack\u2019s scores in five successive rounds were {tex}25, \u2013 5, \u2013 10,15{\/tex}and 10, what was his total at the end?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_3At_Srinagar_temperature_was_tex_%E2%80%93_5circ_texC_on_Monday_and_then_it_dropped_by_tex2circ_texC_on_Tuesday_What_was_the_temperature_of_Srinagar_on_Tuesday_On_Wednesday_it_rose_by_tex4circ_texC_What_was_the_temperature_on_this_day\" >Question 3.At Srinagar temperature was {tex} \u2013 5^\\circ {\/tex}C on Monday and then it dropped by {tex}2^\\circ {\/tex}C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by {tex}4^\\circ {\/tex}C. What was the temperature on this day?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_4A_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\" >Question 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?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_5_Mohan_deposits_Rs_2000_in_his_bank_account_and_withdraws_Rs_1642_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_Mohans_accounts_after_the_withdrawal\" >Question 5.\u00a0Mohan deposits Rs. 2,000 in his bank account and withdraws Rs. 1,642 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 accounts after the withdrawal?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_6Rita_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\" >Question 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?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_7In_a_magic_square_each_row_column_and_diagonal_have_the_same_sum_Check_which_of_the_following_is_a_magic_square\" >Question 7.In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_8Verify_texa_%E2%80%93_left_%E2%80%93_b_right_a_btex_for_the_following_values_of_texatex_and_texb_tex\" >Question 8.Verify {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex} for the following values of {tex}a{\/tex} and {tex}b:{\/tex}<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_9Use_the_sign_of_%3E_%3C_or_in_the_box_to_make_the_statements_true\" >Question 9.Use the sign of &gt;, &lt; or = in the box to make the statements true:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#Question_10A_water_tank_has_steps_inside_it_A_monkey_is_sitting_on_the_topmost_step_ie_the_first_step_The_water_level_is_at_the_ninth_step\" >Question 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:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#NCERT_Solutions_for_Class_7_Maths_Exercise_11\" >NCERT Solutions for Class 7 Maths Exercise 1.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-1-1\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 7 Maths Exercise 1.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 7 Maths\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-07-mathematics-integers\/1510\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/07_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 7 Maths Exercise 1.1\" width=\"163\" height=\"206\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Integers\"><\/span>NCERT Solutions for Class 7 Maths\u00a0Integers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: center;\"><strong>Class \u2013VII Mathematics (Ex. 1.1)<\/strong><\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_1Following_number_line_shows_the_temperature_in_degree_Celsius_texcirc_texC_at_different_places_on_a_particular_day\"><\/span><strong>Question 1.<\/strong>Following number line shows the temperature in degree Celsius {{tex}{}^\\circ {\/tex}C} at different places on a particular day:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch01_01.jpg\" \/><\/p>\n<p>(a) Observe this number line and write the temperature of the places marked on it.<\/p>\n<p>(b) What is the temperature difference between the hottest and the coldest places among the above?<\/p>\n<p>(c) What is the temperature difference between Lahulspiti and Srinagar?<\/p>\n<p>(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?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) The temperature of the places marked on it is:<\/p>\n<table class=\"responsive\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td><strong>Places<\/strong><\/td>\n<td><strong>Temperature<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Bangalore<\/td>\n<td>{tex}{\\mathbf{2}}{{\\mathbf{2}}^o}C{\/tex}{tex}{\/tex}<\/td>\n<\/tr>\n<tr>\n<td><strong>Ooty<\/strong><\/td>\n<td>{tex}{\\mathbf{1}}{{\\mathbf{3}}^o}C{\/tex}<\/td>\n<\/tr>\n<tr>\n<td><strong>Shimla<\/strong><\/td>\n<td>{tex}{{\\mathbf{5}}^o}C{\/tex}<\/td>\n<\/tr>\n<tr>\n<td><strong>Srinagar <\/strong><\/td>\n<td>{tex} &#8211; {{\\mathbf{2}}^o}C{\/tex}<\/td>\n<\/tr>\n<tr>\n<td><strong>Lahulspiti<\/strong><\/td>\n<td>{tex} &#8211; {{\\mathbf{8}}^o}C{\/tex}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>(b) The temperature of the hottest place Bangalore = {tex}{\\mathbf{2}}{{\\mathbf{2}}^o}C{\/tex}<\/p>\n<p>The temperature of the coldest place Lahulspiti = {tex} &#8211; {{\\mathbf{8}}^o}C{\/tex}<\/p>\n<p>Difference = {tex}{22^o}C{\\text{ }}&#8211;{\\text{ }}\\left( {&#8211;{8^o}C} \\right){\\text{ }} = {\\text{ }}{22^o}C{\\text{ }} + {\\text{ }}{8^o}C{\\text{ }} = {\\text{ }}{30^o}C{\/tex}<\/p>\n<p>(c)The temperature of Srinagar = {tex} &#8211; {2^o}C{\/tex}<\/p>\n<p>The temperature of Lahulspiti = {tex} &#8211; {{\\mathbf{8}}^o}C{\/tex}<\/p>\n<p>Difference = {tex}&#8211;{2^o}C{\\text{ }} + {\\text{ }}\\left( {&#8211;{8^o}C} \\right){\\text{ }} = {\\text{ }}&#8211;{2^o}C{\\text{ }}&#8211;{8^o}C{\\text{ }} = \\;{6^o}C{\/tex}<\/p>\n<p>(d)The temperature of Srinagar and Shimla = {tex}{5^o}C{\\text{ }} + {\\text{ }}\\left( {&#8211;{2^o}C} \\right){\\text{ }} = {\\text{ }}{5^o}C{\\text{ }}&#8211;{2^o}C{\\text{ }} = \\;{3^o}C{\/tex}<\/p>\n<p>The temperature at Shimla ={tex}{{\\mathbf{5}}^o}C{\/tex}<\/p>\n<p>Therefore, {tex}{3^o}C{\\text{ }} &lt; {\\text{ }}{5^o}C{\/tex}<\/p>\n<p>Thus, temperature of Srinagar and Shimla taken together is less than the temperature at Shimla.<\/p>\n<p>Now, Temperature of Srinagar = {tex} &#8211; {{\\mathbf{2}}^o}C{\/tex}<\/p>\n<p>Therefore, {tex}{3^o}C{\\text{ }} &gt; {\\text{ }}&#8211;{2^o}C{\/tex}<\/p>\n<p>No, it is not less than the temperature at Srinagar.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_2In_a_quiz_positive_marks_are_given_for_correct_answers_and_negative_marks_are_given_for_incorrect_answers_If_jacks_scores_in_five_successive_rounds_were_tex25_%E2%80%93_5_%E2%80%93_1015texand_10_what_was_his_total_at_the_end\"><\/span><strong>Question 2.<\/strong>In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If jack\u2019s scores in five successive rounds were {tex}25, \u2013 5, \u2013 10,15{\/tex}and 10, what was his total at the end?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Jack\u2019s scores in five successive rounds are {tex}25, &#8211; 5, &#8211; 10,15{\/tex} and {tex}10.{\/tex}<\/p>\n<p>Total marks got by Jack = {tex}25 + \\left( { \u2013 5} \\right) + \\left( { \u2013 10} \\right) + 15 + 10{\/tex}<\/p>\n<p>= 25 \u2013 15 + 25 = 35<\/p>\n<p>Thus, 35 marks are got by Jack in a quiz.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3At_Srinagar_temperature_was_tex_%E2%80%93_5circ_texC_on_Monday_and_then_it_dropped_by_tex2circ_texC_on_Tuesday_What_was_the_temperature_of_Srinagar_on_Tuesday_On_Wednesday_it_rose_by_tex4circ_texC_What_was_the_temperature_on_this_day\"><\/span><strong>Question 3.<\/strong>At Srinagar temperature was {tex} \u2013 5^\\circ {\/tex}C on Monday and then it dropped by {tex}2^\\circ {\/tex}C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by {tex}4^\\circ {\/tex}C. What was the temperature on this day?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>On Monday, temperature at Srinagar = {tex}&#8211;{5^o}C{\/tex}<\/p>\n<p>On Tuesday, temperature dropped = {tex}{2^o}C{\/tex}<\/p>\n<p>{tex}\\therefore {\/tex} Temperature on Tuesday = {tex}&#8211;{5^o}C{\\text{ }}&#8211;{\\text{ }}{2^o}C{\\text{ }} = {\\text{ }}&#8211;{7^o}C{\/tex}<\/p>\n<p>On Wednesday, temperature rose up = {tex}{4^o}C{\/tex}<\/p>\n<p>{tex}\\therefore {\/tex} Temperature on Wednesday = {tex}&#8211;{7^o}C{\\text{ }} + {\\text{ }}{4^o}C{\\text{ }} = {\\text{ }}&#8211;{3^o}C{\/tex}<\/p>\n<p>Thus, temperature on Tuesday and Wednesday was {tex}&#8211;{7^o}C{\/tex}and {tex}&#8211;{3^o}C{\/tex}respectively.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_4A_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\"><\/span><strong>Question 4.<\/strong>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?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch01_02.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>Height of a place above the sea level = 5000 m<\/p>\n<p>Floating a submarine below the sea level = 1200 m<\/p>\n<p>{tex}\\therefore {\/tex} The vertical distance between the plane and the submarine = 5000 + 1200 = 6200 m<\/p>\n<p>Thus, the vertical distance between the plane and the submarine is 6200 m.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_5_Mohan_deposits_Rs_2000_in_his_bank_account_and_withdraws_Rs_1642_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_Mohans_accounts_after_the_withdrawal\"><\/span><strong>Question 5.\u00a0<\/strong>Mohan deposits Rs. 2,000 in his bank account and withdraws Rs. 1,642 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 accounts after the withdrawal?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Deposit amount = Rs. 2,000 and Withdrawal amount = Rs. 1,642<\/p>\n<p>{tex}\\therefore {\/tex} Balance = 2,000 \u2013 1,642 = Rs. 358<\/p>\n<p>Thus, the balance in Mohan\u2019s account after withdrawal is Rs. 358.<\/p>\n<p>According to the number line, Rita moves towards east is represented by a positive integer. But she moves in opposite direction means Rita moves west, is represented by negative integer.<\/p>\n<p>Distance from A to B = 20 km<\/p>\n<p>Distance from B to C = 30 km<\/p>\n<p>Distance from A to C = 20 \u2013 30 = \u201310 km<\/p>\n<p>Thus, Rital is at final position from A to C is \u201310 km.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_6Rita_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\"><\/span><strong>Question 6.<\/strong>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?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) Taking rows 5 + (\u20131) + (\u20134) = 5 \u2013 5 = 0<\/p>\n<p>(\u20135) + (\u20132) + 7 = \u20137 + 7 = 0<\/p>\n<p>0 + 3 + (\u20133) = 3 \u2013 3 = 0<\/p>\n<p>Taking columns 5 + (\u20135) + 0 = 5 \u2013 5 = 0<\/p>\n<p>(\u20131) + (\u20132) + 3 = \u20133 + 3 = 0<\/p>\n<p>(\u20134) + 7 + (\u20133) = 7 \u2013 7 = 0<\/p>\n<p>Taking diagonals 5 + (\u20132) + (\u20133) = 5 \u2013 5 = 0<\/p>\n<p>(\u20134) + (\u20132) + 0 = \u20136<\/p>\n<p>This box is not a magic square because all the sums are not equal.<\/p>\n<p>(ii) Taking rows 1 + (\u201310) + 0 = 1 \u2013 10 = \u20139<\/p>\n<p>(\u20134) + (\u20133) + (\u20132) = \u20137 \u2013 2 = \u20139<\/p>\n<p>(\u20136) + 4 + (\u20137) = \u20132 \u2013 7 = \u20139<\/p>\n<p>Taking columns 1 + (\u20134) + (\u20136) = 1 \u2013 10 = \u20139<\/p>\n<p>(\u201310) + (\u20133) + 4 = \u201313 + 4 = \u20139<\/p>\n<p>0 + (\u20132) + (\u20137) = 0 \u2013 9 = \u20139<\/p>\n<p>Taking diagonals 1 + (\u20133) + (\u20137) = 1 \u2013 10 = \u20139<\/p>\n<p>0 + (\u20133) + (\u20136) = \u20139<\/p>\n<p>This box is magic square because all the sums are equal.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_7In_a_magic_square_each_row_column_and_diagonal_have_the_same_sum_Check_which_of_the_following_is_a_magic_square\"><\/span><strong>Question 7.<\/strong>In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i)<\/p>\n<table class=\"responsive\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>{tex}5{\/tex}<\/td>\n<td>{tex} &#8211; 1{\/tex}<\/td>\n<td>{tex} &#8211; 4{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>{tex} &#8211; 5{\/tex}<\/td>\n<td>{tex} &#8211; 2{\/tex}<\/td>\n<td>{tex}7{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>{tex}0{\/tex}<\/td>\n<td>{tex}3{\/tex}<\/td>\n<td>{tex} &#8211; 3{\/tex}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>(ii)<\/p>\n<table class=\"responsive\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>{tex}1{\/tex}<\/td>\n<td>{tex} &#8211; 10{\/tex}<\/td>\n<td>{tex}0{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>{tex} &#8211; 4{\/tex}<\/td>\n<td>{tex} &#8211; 3{\/tex}<\/td>\n<td>{tex} &#8211; 2{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>{tex} &#8211; 6{\/tex}<\/td>\n<td>{tex}4{\/tex}<\/td>\n<td>{tex} &#8211; 7{\/tex}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) Given: {tex}a = 21,b = 18{\/tex}<\/p>\n<p>We have {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex}<\/p>\n<p>Putting the values in L.H.S. = {tex}a &#8211; \\left( { &#8211; b} \\right) = 21 &#8211; \\left( { &#8211; 18} \\right){\/tex} = 21 + 18 = 39<\/p>\n<p>Putting the values in R.H.S. = {tex}a + b{\/tex} = 21 + 19 = 39<\/p>\n<p>Since, L.H.S. = R.H.S Hence, verified.<\/p>\n<p>(ii) Given: {tex}a = 118,b = 125{\/tex}<\/p>\n<p>We have {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex}<\/p>\n<p>Putting the values in L.H.S. = {tex}a &#8211; \\left( { &#8211; b} \\right) = 118 &#8211; \\left( { &#8211; 125} \\right){\/tex} = 118 + 125 = 243<\/p>\n<p>Putting the values in R.H.S. = {tex}a + b{\/tex} = 118 + 125 = 243<\/p>\n<p>Since, L.H.S. = R.H.S Hence, verified.<\/p>\n<p>(iii) Given: {tex}a = 75,b = 84{\/tex}<\/p>\n<p>We have {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex}<\/p>\n<p>Putting the values in L.H.S. = {tex}a &#8211; \\left( { &#8211; b} \\right) = 75 &#8211; \\left( { &#8211; 84} \\right){\/tex} = 75 + 84 = 159<\/p>\n<p>Putting the values in R.H.S. = {tex}a + b{\/tex} = 75 + 84 = 159<\/p>\n<p>Since, L.H.S. = R.H.S Hence, verified.<\/p>\n<p>(iv) Given: {tex}a = 28,b = 11{\/tex}<\/p>\n<p>We have {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex}<\/p>\n<p>Putting the values in L.H.S. = {tex}a &#8211; \\left( { &#8211; b} \\right) = 28 &#8211; \\left( { &#8211; 11} \\right){\/tex} = 28 + 11 = 39<\/p>\n<p>Putting the values in R.H.S. = {tex}a + b{\/tex} = 28 + 11 = 39<\/p>\n<p>Since, L.H.S. = R.H.S Hence, verified.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_8Verify_texa_%E2%80%93_left_%E2%80%93_b_right_a_btex_for_the_following_values_of_texatex_and_texb_tex\"><\/span><strong>Question<\/strong> 8.Verify {tex}a &#8211; \\left( { &#8211; b} \\right) = a + b{\/tex} for the following values of {tex}a{\/tex} and {tex}b:{\/tex}<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) {tex}a = 21,b = 18{\/tex}<\/p>\n<p>(ii) {tex}a = 118,b = 125{\/tex}<\/p>\n<p>(iii) {tex}a = 75,b = 84{\/tex}<\/p>\n<p>(iv) {tex}a = 28,b = 11{\/tex}<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) {tex}\\left( { &#8211; 8} \\right) + \\left( { &#8211; 4} \\right)\\boxed{{\\text{ }}}\\left( { &#8211; 8} \\right) &#8211; \\left( { &#8211; 4} \\right){\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 8 &#8211; 4\\boxed{{\\text{ }}} &#8211; 8 + 4{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex} &#8211; 12\\boxed{{\\text{ }}} &#8211; 4{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 12\\boxed{{\\text{ &lt; }}} &#8211; 4{\/tex}<\/p>\n<p>(b) {tex}\\left( { &#8211; 3} \\right) + 7 &#8211; \\left( {19} \\right)\\boxed{{\\text{ }}}15 &#8211; 8 + \\left( { &#8211; 9} \\right){\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 3 + 7 &#8211; 19\\boxed{{\\text{ }}}15 &#8211; 8 &#8211; 9{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}4 &#8211; 19\\boxed{{\\text{ }}}15 &#8211; 17{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 15\\boxed{{\\text{ }}} &#8211; 2{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex} &#8211; 15\\boxed{{\\text{ &lt; }}} &#8211; 2{\/tex}<\/p>\n<p>(c){tex}23 &#8211; 41 + 11\\boxed{{\\text{ }}}23 &#8211; 41 &#8211; 11{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 18 + 11\\boxed{{\\text{ }}}23 &#8211; 52{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex} &#8211; 7\\boxed{{\\text{ }}} &#8211; 29{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 7\\boxed{{\\text{ &gt; }}} &#8211; 29{\/tex}<\/p>\n<p>(d){tex}39 + \\left( { &#8211; 24} \\right) &#8211; \\left( {15} \\right)\\boxed{{\\text{ }}}36 + \\left( { &#8211; 52} \\right) &#8211; \\left( { &#8211; 36} \\right){\/tex} {tex} \\Rightarrow {\/tex} {tex}39 &#8211; 24 &#8211; 15\\boxed{{\\text{ }}}36 &#8211; 52 + 36{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}39 &#8211; 39\\boxed{{\\text{ }}}72 &#8211; 52{\/tex} {tex} \\Rightarrow {\/tex} {tex}0\\boxed{{\\text{ }}}20{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}0\\boxed{{\\text{ &lt; }}}20{\/tex}<\/p>\n<p>(e){tex}\\left( { &#8211; 231} \\right) + 79 + 51\\boxed{{\\text{ }}}\\left( { &#8211; 399} \\right) + 159 + 81{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 231 + 130\\boxed{{\\text{ }}} &#8211; 399 + 240{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex} &#8211; 101\\boxed{{\\text{ }}} &#8211; 159{\/tex} {tex} \\Rightarrow {\/tex} {tex} &#8211; 101\\boxed{{\\text{ &gt; }}} &#8211; 159{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_9Use_the_sign_of_%3E_%3C_or_in_the_box_to_make_the_statements_true\"><\/span><strong>Question<\/strong> 9.Use the sign of &gt;, &lt; or = in the box to make the statements true:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a){tex}\\left( { &#8211; 8} \\right) + \\left( { &#8211; 4} \\right)\\boxed{{\\text{ }}}\\left( { &#8211; 8} \\right) &#8211; \\left( { &#8211; 4} \\right){\/tex}<\/p>\n<p>(b){tex}\\left( { &#8211; 3} \\right) + 7 &#8211; \\left( {19} \\right)\\boxed{{\\text{ }}}15 &#8211; 8 + \\left( { &#8211; 9} \\right){\/tex}<\/p>\n<p>(c){tex}23 &#8211; 41 + 11\\boxed{{\\text{ }}}23 &#8211; 41 &#8211; 11{\/tex}<\/p>\n<p>(d){tex}39 + \\left( { &#8211; 24} \\right) &#8211; \\left( {15} \\right)\\boxed{{\\text{ }}}36 + \\left( { &#8211; 52} \\right) &#8211; \\left( { &#8211; 36} \\right){\/tex}<\/p>\n<p>(e){tex}\\left( { &#8211; 231} \\right) + 79 + 51\\boxed{{\\text{ }}}\\left( { &#8211; 399} \\right) + 159 + 81{\/tex}<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 1.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_10A_water_tank_has_steps_inside_it_A_monkey_is_sitting_on_the_topmost_step_ie_the_first_step_The_water_level_is_at_the_ninth_step\"><\/span><strong>Question<\/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:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch01_03.png\" \/><\/p>\n<p>(i)He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?<\/p>\n<p>(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?<\/p>\n<p>(iii)If the number of steps moved down is represented by negative integers and the number of steps move up by positive integers, represent his moves in part (i) and (ii) by completing the following:<\/p>\n<p>(a) {tex} &#8211; 3 + 2 &#8211; &#8230;&#8230;&#8230;. = &#8211; 8{\/tex}<\/p>\n<p>(b) {tex}4 &#8211; 2 + &#8230;&#8230;.. = 8{\/tex}<\/p>\n<p>In (a) the sum {tex}\\left( { &#8211; 8} \\right){\/tex} represent going down by eight steps. So, what will the sum 8 in (b) represent?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) He jumps 3 steps down and jumps back 2 steps up. Following number ray shows the<\/p>\n<p>jumps of monkey:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch01_05.jpg\" width=\"368\" height=\"120\" \/><\/p>\n<p>First jump = 1 + 3 = 4 steps Second jump = 4 \u2013 2 = 2 steps<\/p>\n<p>Third jump = 2 + 3 = 5 steps Fourth jump = 5 \u2013 2 = 3 steps<\/p>\n<p>Fifth jump = 3 + 3 = 6 steps Sixth jump = 6 \u2013 2 = 4 steps<\/p>\n<p>Seventh jump = 4 + 3 = 7 steps Eighth jump = 7 \u2013 2 = 5 steps<\/p>\n<p>Ninth jump = 5 + 3 = 8 steps Tenth jump = 8 \u2013 2 = 6 steps<\/p>\n<p>Eleventh jump = 6 + 3 = 9 steps<\/p>\n<p>He will reach ninth steps in 11 jumps.<\/p>\n<p>(ii) He jumps four steps and them jumps down 2 steps. Following number ray shows the<\/p>\n<p>jumps of monkey:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch01_06.jpg\" width=\"382\" height=\"135\" \/><\/p>\n<p>Thus monkey reach back on the first step in fifth jump.<\/p>\n<p>(iii) (a) {tex} &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 &#8211; 3 + 2 = &#8211; 8{\/tex}<\/p>\n<p>(b) {tex}4 &#8211; 2 + 4 &#8211; 2 + 4 &#8211; 2 + 4 &#8211; 2 = 8{\/tex}<\/p>\n<p>Thus, sum 8 in (b) represents going up by eight steps.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exercise_11\"><\/span>NCERT Solutions for Class 7 Maths Exercise 1.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 7 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 7 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 1.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. 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