{"id":1224,"date":"2020-09-15T07:04:23","date_gmt":"2020-09-15T01:34:23","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=1224"},"modified":"2021-07-02T15:01:51","modified_gmt":"2021-07-02T09:31:51","slug":"kseeb-sslc-class-10-maths-solutions-chapter-8-ex-8-4","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-sslc-class-10-maths-solutions-chapter-8-ex-8-4\/","title":{"rendered":"KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4"},"content":{"rendered":"

KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4<\/strong> are part of KSEEB SSLC Class 10 Maths Solutions<\/a>. Here we have given Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4.<\/p>\n

Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4<\/h2>\n

Question 1.
\nWithout actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion :
\n\"KSEEB
\nSolution:
\n(i)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(ii)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(iii)
\n\\(\\frac{64}{455}=\\frac{2^{6}}{5 \\times 7 \\times 13}\\)
\n\u2234 This is non-terminating repeating expansion.<\/p>\n

(iv)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(v)
\n\\(\\frac{29}{343}=\\frac{29}{7^{3}}\\)
\n\u2234 This is non-terminating repeating expansion.<\/p>\n

(vi)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(vii)
\n\\(\\frac{129}{2^{2} 5^{7} 7^{5}}\\)
\n\u2234 This is non-terminating repeating expansion.<\/p>\n

(viii)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(ix)
\n\"KSEEB
\n\u2234 This is terminating decimal expansion.<\/p>\n

(x)
\n\"KSEEB
\n\u2234 This is non-terminating repeating expansion.<\/p>\n

Question 2.
\nWrite down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.
\nSolution:
\n\"KSEEB
\n\"KSEEB
\n\"KSEEB<\/p>\n

Question 3.
\nThe following real numbers have decimal expansions as given below. In each case, decide whether they are rational or not. If they are rational, and of the form \\(\\frac{p}{q}\\), what can you say about the prime factors of q?
\n(i) 43.123456789
\n(ii) 0.120120012000120000………..
\n(iii) \\(43 . \\overline{123456789}\\)
\nSolution:
\n(i) 43.123456789
\n\\(\\frac{p}{q}\\) is a rational number
\nPrime factor of q:
\nq = 109 <\/sup>= 29<\/sup> \u00d7 59<\/sup><\/p>\n

(ii) 0.120120012000120000…………
\nThis is an irrational number<\/p>\n

(iii) \\(43 . \\overline{123456789}\\)
\nThis is a rational number.
\nBecause, Prime factors of ‘q’ are contrinued in non-terminating decimal expansion.<\/p>\n

We hope the given KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4 will help you. If you have any query regarding Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4, drop a comment below and we will get back to you at the earliest.<\/p>\n","protected":false},"excerpt":{"rendered":"

KSEEB SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Ex 8.4 are part of KSEEB SSLC Class 10 Maths Solutions. Here we have given Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4. Karnataka SSLC Class 10 Maths Solutions Chapter 8 Real Numbers Exercise 8.4 Question 1. Without actually performing the …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/1224"}],"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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=1224"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/1224\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=1224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=1224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=1224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}