{"id":28582,"date":"2022-02-16T20:59:11","date_gmt":"2022-02-16T15:29:11","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=28582"},"modified":"2022-05-28T16:04:55","modified_gmt":"2022-05-28T10:34:55","slug":"integers-class-7-extra-questions-maths-chapter-1","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/class-7\/maths\/integers-class-7-extra-questions-maths-chapter-1\/","title":{"rendered":"Integers Class 7 Extra Questions Maths Chapter 1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\">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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><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><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-7\/maths\/integers-class-7-extra-questions-maths-chapter-1\/#Integers_Class_7_Extra_Questions_Maths_Chapter_1\" title=\"Integers Class 7 Extra Questions Maths Chapter 1\">Integers Class 7 Extra Questions Maths Chapter 1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-7\/maths\/integers-class-7-extra-questions-maths-chapter-1\/#Integers_Class_7_Extra_Questions_Very_Short_Answer_Type\" title=\"Integers Class 7 Extra Questions Very Short Answer Type\">Integers Class 7 Extra Questions Very Short Answer Type<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/class-7\/maths\/integers-class-7-extra-questions-maths-chapter-1\/#Integers_Class_7_Extra_Questions_Short_Answer_Type\" title=\"Integers Class 7 Extra Questions Short Answer Type\">Integers Class 7 Extra Questions Short Answer Type<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Integers_Class_7_Extra_Questions_Maths_Chapter_1\"><\/span>Integers Class 7 Extra Questions Maths Chapter 1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Extra Questions for Class 7 Maths Chapter 1 Integers<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Integers_Class_7_Extra_Questions_Very_Short_Answer_Type\"><\/span>Integers Class 7 Extra Questions Very Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1.<\/strong><br \/>\nFill in the blanks using &lt; or &gt;.<br \/>\n(a) -3 \u2026\u2026 -4<br \/>\n(b) 6 \u2026\u2026. -20<br \/>\n(c) -8 \u2026\u2026 -2<br \/>\n(d) 5 \u2026\u2026 -7<br \/>\nSolution:<br \/>\n(a) -3 &gt; -4<br \/>\n(b) 6 &gt; -20<br \/>\n(c) -8 &lt; -2<br \/>\n(d) 5 &gt; -7<\/p>\n<p><strong>Question 2.<\/strong><br \/>\nSolve the following:<br \/>\n(i) (-8) \u00d7 (-5) + (-6)<br \/>\n(ii) [(-6) \u00d7 (-3)] + (-4)<br \/>\n(iii) (-10) \u00d7 [(-13) + (-10)]\n(iv) (-5) \u00d7 [(-6) + 5]\nSolution:<br \/>\n(i) (-8) \u00d7 (-5) + (-6)<br \/>\n= (-) \u00d7 (-) \u00d7 [8 \u00d7 5] + (-6)<br \/>\n= 40 \u2013 6<br \/>\n= 34<\/p>\n<p>(ii) [(-6) \u00d7 (-3)] + (-4)<br \/>\n= (-) \u00d7 (-) \u00d7 [6 \u00d7 3] + (-4)<br \/>\n= 18 \u2013 4<br \/>\n= 14<\/p>\n<p>(iii) (-10) \u00d7 [(-13) + (-10)]\n= (-10) \u00d7 (-23)<br \/>\n= (-) \u00d7 (-) \u00d7 [10 \u00d7 23]\n= 230<\/p>\n<p>(iv) (-5) \u00d7 [(-6) + 5]\n= (-5) \u00d7 (-1)<br \/>\n= (-) \u00d7 (-) \u00d7 5 \u00d7 1<br \/>\n= 5<\/p>\n<p><strong>Question 3.<\/strong><br \/>\nStarting from (-7) \u00d7 4, find (-7) \u00d7 (-3)<br \/>\nSolution:<br \/>\n(-7) \u00d7 4 = -28<br \/>\n(-7) \u00d7 3 = -21 = [-28 + 7]\n(-7) \u00d7 2 \u2013 -14 = [-21 + 7]\n(-7) \u00d7 1 = -7 = [-14 + 7]\n(-7) \u00d7 0 = 0 = [-7 + 7]\n(-7) \u00d7 (-1) = 7 = [0 + 7]\n(-7) \u00d7 (-2) = 14 = [7 + 7]\n(-7) \u00d7 (-3) = 21 = [14 + 7]\n<p><strong>Question 4.<\/strong><br \/>\nUsing number line, find:<br \/>\n(i) 3 \u00d7 (-5)<br \/>\n(ii) 8 \u00d7 (-2)<br \/>\nSolution:<br \/>\n(i) 3 \u00d7 (-5)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48042370647_841b8140c4_o.png\" alt=\"Integers Class 7 Extra Questions Maths Chapter 1 Q4\" width=\"575\" height=\"73\" \/><br \/>\nFrom the number line, we have<br \/>\n(-5) + (-5) + (-5) = 3 \u00d7 (-5) = -15<\/p>\n<p>(ii) 8 \u00d7 (-2)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48042370702_2a73b83d78_o.png\" alt=\"Integers Class 7 Extra Questions Maths Chapter 1 Q4.1\" width=\"577\" height=\"73\" \/><br \/>\nFrom the number line, we have<br \/>\n(-2) + (-2) + (-2) + (-2) + (-2) + (-2) + (-2) + (-2) = 8 \u00d7 (-2) = -16<\/p>\n<p><strong>Question 5.<\/strong><br \/>\nWrite five pair of integers (m, n ) such that m \u00f7 n = -3. One of such pair is (-6, 2).<br \/>\nSolution:<br \/>\n(i) (-3, 1) = (-3) \u00f7 1 = -3<br \/>\n(ii) (9, -3) = 9 \u00f7 (-3) = -3<br \/>\n(iii) (6, -2) = 6 \u00f7 (-2) = -3<br \/>\n(iv) (-24, 8) = (-24) \u00f7 8 = -3<br \/>\n(v) (18, -6) = 18 \u00f7 (-6) = -3<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Integers_Class_7_Extra_Questions_Short_Answer_Type\"><\/span>Integers Class 7 Extra Questions Short Answer Type<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 6.<\/strong><br \/>\nSolve the following:<br \/>\n(i) (-15) \u00d7 8 + (-15) \u00d7 4<br \/>\n(ii) [32 + 2 \u00d7 17 + (-6)] \u00f7 15<br \/>\nSolution:<br \/>\n(i) (-15) \u00d7 8 + (-15) \u00d7 4<br \/>\n= (-15) \u00d7 [8 + 4]\n= (-15) \u00d7 12<br \/>\n= -180<\/p>\n<p>(ii) [32 + 2 \u00d7 17 + (-6)] \u00f7 15<br \/>\n= [32 + 34 \u2013 6] \u00f7 15<br \/>\n= [66 \u2013 6] \u00f7 15<br \/>\n= 60 \u00f7 15<br \/>\n= 4<\/p>\n<p><strong>Question 7.<\/strong><br \/>\nThe sum of two integers is 116. If one of them is -79, find the other integers.<br \/>\nSolution:<br \/>\nSum of two integers = 116<br \/>\nOne integer = -79<br \/>\nOther integer = Sum of integer \u2013 One of integer = 116 \u2013 (-79) = 116 + 79 = 195<\/p>\n<p><strong>Question 8.<\/strong><br \/>\nIf a = -35, b = 10 cm and c = -5, verify that:<br \/>\n(i) a + (b + c) = (a + b) + c<br \/>\n(ii) a \u00d7 (b + c) = a \u00d7 b + a \u00d7 c<br \/>\nSolution:<br \/>\n(i) Given that a = -35, b = 10, c = -5<br \/>\nLHS = a + (b + c) = (-35) + [10 + (-5)] = (-35) + 5 = -30<br \/>\nRHS = (a + b) + c = [(-35) + 10] + (-5) = (-25) + (-5) = -(25 + 5) = -30<br \/>\nLHS = RHS<br \/>\nHence, verified.<\/p>\n<p>(ii) a \u00d7 (b + c) = a \u00d7 b + a \u00d7 c<br \/>\nLHS = a \u00d7 (b + c) = (-35) \u00d7 [10 + (-5)] = (-35) \u00d7 5 = -175<br \/>\nRHS = a \u00d7 b + a \u00d7 c = (-35) \u00d7 10 + (-35) \u00d7 (-5) = -350 + (-) \u00d7 (-) \u00d7 (35 \u00d7 5) = -350 + 175 = -175<br \/>\nLHS = RHS<br \/>\nHence, verified.<\/p>\n<p><strong>Question 9.<\/strong><br \/>\nWrite down a pair of integers whose<br \/>\n(i) sum is -5<br \/>\n(ii) difference is -7<br \/>\n(iii) difference is -1<br \/>\n(iv) sum is 0<br \/>\nSolution:<br \/>\n(i) (-2) + (-3) = -5<br \/>\nHence, the required pair of integers = (-2, -3)<br \/>\n(ii) -10 \u2013 (-3) = -10 + 3 = -7<br \/>\nHence, the required pair of integers = (-10, -3)<br \/>\n(iii) (-3) \u2013 (-2) = -1<br \/>\nHence, the required pair of integers = (-3, -2)<br \/>\n(iv) (-4) + (4) = 0<br \/>\nHence, the required pair of integers = (-4, 4)<\/p>\n<p><strong>Question 10.<\/strong><br \/>\nYou have \u20b9 500 in your saving account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48042305858_cf304b189e_o.png\" alt=\"Integers Class 7 Extra Questions Maths Chapter 1 Q10\" width=\"811\" height=\"183\" \/><br \/>\nSolution:<br \/>\nAmount in the beginning of the month in the account = \u20b9 500<br \/>\nAmount deposited in the account for Jal Board = \u20b9 200<br \/>\nAmount paid to Jal Board = \u20b9 120<br \/>\nAmount left in the account after the above transactions = \u20b9 (500 + 200 \u2013 120) = \u20b9 (700 \u2013 120) = \u20b9 580<br \/>\nAmount deposited for LIC India = \u20b9 150<br \/>\nAmount paid to LIC India = \u20b9 240<br \/>\nAmount left after this transactions = \u20b9 (580 + 150 \u2013 240) = \u20b9 (730 \u2013 240) = \u20b9 490<\/p>\n<p><strong>Question 11.<\/strong><br \/>\nThe given table shows the freezing points in \u00b0F of different gases at sea level. Convert each of these into \u00b0C to the nearest integral value using the relations and complete the table<br \/>\nC = \\(\\frac { 5 }{ 9 }\\) [F \u2013 32]\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48042370632_7524960ae4_o.png\" alt=\"Integers Class 7 Extra Questions Maths Chapter 1 Q11\" width=\"375\" height=\"216\" \/><br \/>\nSolution:<br \/>\nFreezing point of Hydrogen = -435\u00b0F<br \/>\nC = \\(\\frac { 5 }{ 9 }\\) [-435 \u2013 32]\n= \\(\\frac { 5 }{ 9 }\\) [-467]\n= 5 \u00d7 (-51.9)<br \/>\n= 259.5\u00b0C or 259\u00b0C<br \/>\nFor Krypton, freezing point = -251\u00b0F<br \/>\nC = \\(\\frac { 5 }{ 9 }\\) [-251 \u2013 32]\n= \\(\\frac { 5 }{ 9 }\\) [-283]\n= 5 \u00d7 (-31.4)]\n= -157\u00b0C<br \/>\nFor Oxygen, freezing point = -369\u00b0F<br \/>\nC = \\(\\frac { 5 }{ 9 }\\) [-369 \u2013 32]\n= \\(\\frac { 5 }{ 9 }\\) [-401]\n= 5 \u00d7 (44.56)<br \/>\n= 222.80\u00b0 C or 223\u00b0C<br \/>\nHence, the required freezing points at sea level in \u00b0C for Hydrogen = -259\u00b0C, Krypton = -157\u00b0C, Oxygen = -223\u00b0C.<\/p>\n<p><strong>Question 12.<\/strong><br \/>\nTaking today as zero on the number line, if the day before yesterday is 17 January, what is the date on 3 days after tomorrow? [NCERT Exemplar]\nSolution:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/48042370587_b2f59aed1c_o.png\" alt=\"Integers Class 7 Extra Questions Maths Chapter 1 Q12\" width=\"318\" height=\"96\" \/><br \/>\nThe date before yesterday = 17 January<br \/>\nThe date of yesterday = 17 + 1 = 18 January<br \/>\nToday\u2019s date = 18 + 1 = 19 January<br \/>\nTomorrow\u2019s date = 19 + 1 = 20 January<br \/>\nDate on 3 days after tomorrow = (20 + 3) = 23rd January<\/p>\n<h4><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>Integers Class 7 Extra Questions Maths Chapter 1 Extra Questions for Class 7 Maths Chapter 1 Integers Integers Class 7 [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\"Get Integers Class 7 Extra Questions Maths Chapter 1 on Infinity learn\"","custom_permalink":"study-material\/class-7\/maths\/integers-class-7-extra-questions-maths-chapter-1\/"},"categories":[93,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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