{"id":4888,"date":"2020-09-09T09:32:48","date_gmt":"2020-09-09T04:02:48","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=4888"},"modified":"2021-07-02T15:03:36","modified_gmt":"2021-07-02T09:33:36","slug":"kseeb-solutions-class-8-maths-chapter-5-ex-5-6","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths-chapter-5-ex-5-6\/","title":{"rendered":"KSEEB Solutions for Class 8 Maths Chapter 5 Squares, Square Roots, Cubes, Cube Roots Ex 5.6"},"content":{"rendered":"<p>Students can Download Maths Chapter 5 Squares, Square Roots, Cubes, Cube Roots Ex 5.6 Questions and Answers, Notes Pdf, <a href=\"https:\/\/kseebsolutions.guru\/kseeb-solutions-class-8-maths\/\">KSEEB Solutions for Class 8 Maths<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n<h2>Karnataka Board Class 8 Maths Chapter 5 Squares, Square Roots, Cubes, Cube Roots Ex 5.6<\/h2>\n<p>Question 1.<br \/>\nLooking at the pattern fill in the gaps in the followings.<br \/>\nAnswer:<\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td width=\"47\">2<\/td>\n<td width=\"53\">3<\/td>\n<td width=\"53\">4<\/td>\n<td width=\"73\">-5<\/td>\n<td width=\"59\">6<\/td>\n<td width=\"59\">8<\/td>\n<td width=\"78\">-9<\/td>\n<\/tr>\n<tr>\n<td width=\"47\">2<sup>3<\/sup>= 8<\/td>\n<td width=\"53\">3<sup>3<\/sup> = 27<\/td>\n<td width=\"53\">4<sup>3<\/sup> = 64<\/td>\n<td width=\"73\">-5<sup>3<\/sup> = -125<\/td>\n<td width=\"59\">6<sup>3<\/sup> = 216<\/td>\n<td width=\"59\">8<sup>3<\/sup> = 512<\/td>\n<td width=\"78\">-9<sup>3<\/sup> = -729<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Question 2.<br \/>\nFind the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about, the parity of the odd cubes and even cubes?<br \/>\nAnswer:<br \/>\n1<sup>3<\/sup> = 1 \u00d7 1 \u00d7 1 = 1<br \/>\n2<sup>3<\/sup> = 2 \u00d7 2 \u00d7 2 = 8<br \/>\n3<sup>3<\/sup> = 3 \u00d7 3 \u00d7 3 = 27<br \/>\n4<sup>3<\/sup> = 4 \u00d7 4 \u00d7 4 = 64<br \/>\n5<sup>3<\/sup> = 5 \u00d7 5 \u00d7 5=125<br \/>\n6<sup>3<\/sup> = 6 \u00d7 6 \u00d7 6 = 216<br \/>\n7<sup>3<\/sup> = 7 \u00d7 7 \u00d7 7 = 343<br \/>\n8<sup>3 <\/sup>= 8 \u00d7 8 \u00d7 8 = 512<br \/>\n9<sup>3<\/sup> = 9 \u00d7 9 \u00d7 9 = 729<br \/>\n10<sup>3<\/sup> = 10 \u00d7 10 \u00d7 10 = 1000<br \/>\nThe cube of an odd number is odd and the cube of an even number is even.<\/p>\n<p>Question 3.<br \/>\nHow many perfect cubes you can find from I to 100? How many from -100 to 100?<br \/>\nAnswer:<br \/>\nFrom 1 to 100 there are 4 perfect cubes. 1, 8, 27, 64 From -100 to 100 there are 9 perfect cubes -64, -27, -8, -1, 0, 1, 8, 27, 64<\/p>\n<p>Question 4.<br \/>\nHow many perfect cubes are there from 1 to 500? How many are the perfect square among these cubes?<br \/>\nAnswer:<br \/>\nFrom 1 to 500 there are 7 perfect cubes and 2 of these are perfect squares.<br \/>\nPerfect cubes 1, 8, 27, 64, 125, 216, 343,<br \/>\nPerfect squares are 1 = 1<sup>2<\/sup> = 1<sup>3<\/sup> and 64 = 8<sup>2<\/sup> = 4<sup>3<\/sup><\/p>\n<p>Question 5.<br \/>\nFind the cubes of 10, 30, 100, 1000. What can you say about the zeros at the end?<br \/>\nAnswer:<br \/>\n10<sup>3<\/sup>= 10 x 10 x 10 = 1.000 (3 zeros)<br \/>\n30<sup>3<\/sup>\u00a0= 30 \u00d7 30 \u00d7 30 = 27000 (3 zeros)<br \/>\n100<sup>3<\/sup> = 100 \u00d7 100 \u00d7 100 = 1000000 (6 zeros)<br \/>\n1000<sup>3<\/sup> = 1000 \u00d7 1000 \u00d7 1000 = 1000000000 (9 zeros)<br \/>\nThe number of zeros at the end are always multiple of 3.<\/p>\n<p>Question 6.<br \/>\nWhat are the digits in the units place of the cubes of 1,2,3,4,5,6,7,8,9,10? Is impossible to say that a number is not a perfect cube by looking at the digit in the units place of the given number, just like you did for squares?<br \/>\nAnswer:<br \/>\n1<sup>3<\/sup>=1<br \/>\n2<sup>3<\/sup> = 8<br \/>\n3<sup>3<\/sup> = 27<br \/>\n4<sup>3 <\/sup>= 64<br \/>\n5<sup>3<\/sup> = 125<br \/>\n6<sup>3<\/sup> = 216<br \/>\n7<sup>3<\/sup> = 343<br \/>\n8<sup>3<\/sup> = 512<br \/>\n9<sup>3<\/sup> = 729<br \/>\n10<sup>3<\/sup> = 1000<br \/>\n\u2234 It is not possible to say whether the number is a perfect cube (or) not looking at the digit in unit place.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students can Download Maths Chapter 5 Squares, Square Roots, Cubes, Cube Roots Ex 5.6 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka Board Class 8 Maths Chapter 5 Squares, Square Roots, Cubes, Cube Roots &hellip;<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4888"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=4888"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/4888\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=4888"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=4888"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=4888"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}