{"id":7965,"date":"2024-01-05T11:09:49","date_gmt":"2024-01-05T05:39:49","guid":{"rendered":"https:\/\/wordpress-505192-1602719.cloudwaysapps.com\/?p=7965"},"modified":"2024-01-05T17:01:46","modified_gmt":"2024-01-05T11:31:46","slug":"samacheer-kalvi-8th-maths-solutions-term-3-chapter-1-ex-1-2","status":"publish","type":"post","link":"https:\/\/samacheerguru.com\/samacheer-kalvi-8th-maths-solutions-term-3-chapter-1-ex-1-2\/","title":{"rendered":"Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 1 Numbers Ex 1.2"},"content":{"rendered":"

Students can Download Maths Chapter 1 Numbers Ex 1.2 Questions and Answers, Notes Pdf, Samacheer Kalvi 8th Maths Book Solutions<\/a> Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations.<\/p>\n

Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 1 Numbers Ex 1.2<\/h2>\n

Question 1.
\nFill in the blanks:
\n(i) If a number has 5 or 6 digits in it then, its square root will have………digits.
\n(ii) The value of 180 lies between integers………and……….
\n(iii) \\(\\sqrt{10}\\) \u00d7 \\(\\sqrt{6}\\) \u00d7 \\(\\sqrt{15}\\) =……………
\n(iv) \\(\\frac{\\sqrt{300}{\\sqrt{192}}\\) =…………….
\n(v) \\(\\sqrt{65.61}\\) =…………….
\nSolution:
\n(i) 3
\n(ii) 13, 14
\n(iii) 30
\n(iv) \\(\\frac{5}{4}\\)
\n(v) 8.1<\/p>\n

\"Samacheer<\/p>\n

Question 2.
\nEstimate the value of the following square roots to the nearest whole number:
\n(i) \\(\\sqrt{440}\\)
\n(ii) \\(\\sqrt{800}\\)
\n(iii) \\(\\sqrt{1020}\\)
\nSolution:
\n(i) We have 20\u00b2 = 400
\n21\u00b2 = 441
\n\u2234 \\(\\sqrt{440}\\) \u00a0\\(\\widetilde { – } \\) 21<\/p>\n

(ii) We have 28\u00b2 = 784
\n29\u00b2 = 841
\n\u2234 \\(\\sqrt{800}\\) \\(\\widetilde { – } \\) 28<\/p>\n

(iii) We have 31\u00b2 = 961
\n32\u00b2 = 1024
\n\u2234 \\(\\sqrt{1020}\\) \\(\\widetilde { – } \\) = 32<\/p>\n

Question 3.
\nFind the least number that must be added to 1300 so as to get a perfect square. Also find the square root of the perfect square.
\nSolution:
\nWe work out the process of finding square root by long division method.
\nThe given number is 1300
\n\"Samacheer
\nSo we have 36\u00b2 < 1300 < 37\u00b2
\nAlso 1300 is (469 – 400) = 69 less than 37\u00b2. So if we add 69 to 1300 it will be perfect square. Hence the required, least number is 69 and the perfect square number is 1300 + 69 = 1369
\n\"Samacheer
\n\u2234 \\(\\sqrt{1369}\\) = 37<\/p>\n

Question 4.
\nFind the least number that must be subtracted to 6412 so as to get a perfect square. Also find the square root of the perfect square.
\nSolution:
\nLet us work out the process of finding the square root of 6412 by long division method.
\n\"Samacheer
\nThe remainder in the last step is 12. Is if 12 be subtracted from the given number the remainder will be zero and the new number will be a perfect square.
\n\u2234 The required number is 12.
\nThe square number is 6412 – 12 = 6400
\nAlso \\(\\sqrt{6400}\\) = 80<\/p>\n

Question 5.
\nFind the square root by long division method.
\n(i) 17956
\n(ii) 11025
\n(iii) 6889
\n(iv) 1764
\n(v) 418609
\nSolution:
\n\"Samacheer
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 6.
\nFind the square root of the following decimal numbers:
\n(i) 2.89
\n(ii) 1.96
\n(iii) 67.24
\n(iv) 31.36
\n(v) 2.0164
\n(vi) 13.9876
\nSolution:
\n\"Samacheer<\/p>\n

Question 7.
\nFind the square root of each of the following fractions:
\n(i) \\(\\frac{144}{225}\\)
\n(ii) 7\\(\\frac{18}{49}\\)
\n(iii) 6\\(\\frac{1}{4}\\)
\n(iv) 4\\(\\frac{25}{36}\\)
\nSolution:
\n\"Samacheer
\n\"Samacheer<\/p>\n

Question 8.
\nSay True or False:
\n(i) \\(\\frac{\\sqrt{32}}{\\sqrt{8}}=2\\)
\n(ii) \\(\\sqrt{\\frac{625}{1024}}=\\frac{25}{32}\\)
\n(iii) \\(\\sqrt{28}{7}=2\\sqrt{7}\\)
\n(iv) \\(\\sqrt{225}{64}=\\sqrt{289}\\)
\n(v) \\(\\sqrt{1 \\frac{400}{441}}=1 \\frac{20}{21}\\)
\nSolution:
\n(i) true
\n(ii) true
\n(iii) false
\n(iv) false
\n(v) false<\/p>\n

Objective Type Questions<\/span><\/p>\n

Question 9.
\n\\(\\sqrt{48}\\) is approximately equal to
\n(a) 5
\n(b) 6
\n(c) 7
\n(d) 8
\nSolution:
\n(c) 7
\nHint:
\n\\(\\sqrt{49}\\) = 7<\/p>\n

\"Samacheer<\/p>\n

Question 10.
\n\\(\\sqrt{128}\\) – \\(\\sqrt{98}\\) + \\(\\sqrt{18}\\) =
\n(a) \\(\\sqrt{2}\\)
\n(b) \\(\\sqrt{8}\\)
\n(c) \\(\\sqrt{48}\\)
\n(d) \\(\\sqrt{32}\\)
\nSolution:
\n(d) \\(\\sqrt{32}\\)
\nHint:
\n\\(\\sqrt{128}-\\sqrt{98}+\\sqrt{18}=8 \\sqrt{2}-7 \\sqrt{2}+3 \\sqrt{2}=4 \\sqrt{2}=\\sqrt{32}\\)<\/p>\n

Question 11.
\n\\(\\sqrt{22+\\sqrt{7+\\sqrt{4}}}=\\)
\n(a) \\(\\sqrt{25}\\)
\n(b) \\(\\sqrt{33}\\)
\n(c) \\(\\sqrt{31}\\)
\n(d) \\(\\sqrt{29}\\)
\nSolution:
\n(a) \\(\\sqrt{25}\\)
\nHint:
\n\\(\\sqrt{22+\\sqrt{7+\\sqrt{4}}}=\\sqrt{22+\\sqrt{7+2}}=\\sqrt{22+3}=\\sqrt{25}\\)<\/p>\n

Question 12.
\nThe number of digits in the square root of 123454321 is
\n(a) 4
\n(b) 5
\n(c) 6
\n(d) 7
\nSolution:
\n(b) 5
\nHint:
\n\\(=\\frac{n+1}{2}=\\frac{10}{2}=5\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Maths Chapter 1 Numbers Ex 1.2 Questions and Answers, Notes Pdf, Samacheer Kalvi 8th Maths Book Solutions Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus and score more marks in your examinations. Tamilnadu Samacheer Kalvi 8th Maths Solutions Term 3 Chapter 1 Numbers Ex 1.2 Question 1. […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[4],"tags":[],"blocksy_meta":"","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/7965"}],"collection":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/comments?post=7965"}],"version-history":[{"count":1,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/7965\/revisions"}],"predecessor-version":[{"id":55429,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/posts\/7965\/revisions\/55429"}],"wp:attachment":[{"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/media?parent=7965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/categories?post=7965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerguru.com\/wp-json\/wp\/v2\/tags?post=7965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}