{"id":24592,"date":"2021-06-19T12:40:59","date_gmt":"2021-06-19T07:10:59","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=24592"},"modified":"2021-06-19T12:43:33","modified_gmt":"2021-06-19T07:13:33","slug":"ncert-solutions-for-class-9-maths-chapter-1-ex-1-5","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 1 Number Systems Ex 1.5 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5<\/h2>\n

Question 1.
\nClassify the following numbers as rational or irrational:
\n(i) 2 – \u221a5
\n(ii) (3 + \u221a23) – \u221a23
\n(iii) \\(\\frac{2 \\sqrt{7}}{7 \\sqrt{7}}\\)
\n(iv) \\(\\frac{1}{\\sqrt{2}}\\)
\n(v) 2\u03c0
\nSolution:
\n(i) We have, 2 – \u221a5
\nor, 2 – 2.236067977…….
\nor, -0.236067977……..
\nwhich is non terminating non recurring.
\nSo, it is an irrational number.<\/p>\n

(ii) We have, (3 + \u221a23) – \u221a23
\nor, 3 + \u221a23 – \u221a23
\nor, 3
\nwhich is a rational number.<\/p>\n

\"NCERT<\/p>\n

(iii) We have, \\(\\frac{2 \\sqrt{7}}{7 \\sqrt{7}}\\)
\nor \\(\\frac{2}{7}\\)
\nwhich is a rational number.<\/p>\n

(iv) We have, \\(\\frac{1}{\\sqrt{2}}\\)
\nor, \\(\\frac{1}{1.414213562 \\ldots}\\)
\nTherefore the quotient of this number is irrational.<\/p>\n

(v) We have,
\n2\u03c0 = 2 \u00d7 3.1415926535……. = 6.2831853070……..
\nwhich is non-terminating non-recurring.
\nTherefore, it is an irrational number.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nSimplify each of the following expressions:
\n(i) (3 + \u221a3) (2 + \u221a2)
\n(ii) (3+ \u221a3) (3 – \u221a3)
\n(iii) (\u221a5 + \u221a2)2<\/sup>
\n(iv) (\u221a5 – \u221a2) (\u221a5 + \u221a2)
\nSolution:
\n(i) We have, (3 + \u221a3) (2 + \u221a2)
\nor 6 + 3\u221a2 + 2\u221a3 + \u221a6<\/p>\n

(ii) We have, (3 + \u221a3) (3 – \u221a3)
\nWe know that (a + b) (a – b) = a2<\/sup> – b2<\/sup>
\n\u2234 (3 + \u221a3) (3 – \u221a3) = (3)2<\/sup> – (\u221a3)2<\/sup>
\n= 9 – 3
\n= 6
\nSo, (3 + \u221a3) (3 – \u221a3) = 6<\/p>\n

\"NCERT<\/p>\n

(iii) We have, (\u221a5 + \u221a2)2<\/sup>
\nWe know that (a + b)2<\/sup> = a2<\/sup> + b2<\/sup> + 2ab
\n\u2234 (\u221a5 + \u221a2)2<\/sup> = (\u221a5)2<\/sup> + (\u221a2)2<\/sup> + 2(\u221a5)(\u221a2) = 5 + 2 + 2\u221a10
\nor, (\u221a5 + \u221a2)2<\/sup> = 7 + 2\u221a10<\/p>\n

(iv) We have,
\n(\u221a5 – \u221a2) (\u221a5 + \u221a2) = (\u221a5)2<\/sup> – (\u221a2)2<\/sup>
\n[\u2234 (a + b) (a – b) = a2<\/sup> – b2<\/sup>]
\n= 5 – 2
\n= 3
\n\u2234 (\u221a5 – \u221a2) (\u221a5 + \u221a2) = 3<\/p>\n

Question 3.
\nRecall, \u03c0 is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is \u03c0 = \\(\\frac{c}{d}\\). This seems to contradict the fact that \u03c0 is irrational. How will you resolve this contradiction?
\nSolution:
\nCircumference = 2\u03c0R (Irrational number) of the circle (c)
\nR \u2192 Radius of the circle
\nDiameter of circle (D) = 2R (Rational number)
\n\\(\\frac{C}{D}=\\frac{2 \\pi R}{2 R}=\\pi=\\frac{\\text { Irrational number }}{\\text { Rational number }}\\) = Irrational number
\nAs we know irrational number divided by a rational number results in an irrational number.<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nRepresent \\(\\sqrt{9.3}\\) on the number line.
\nSolution:
\n\"NCERT
\nTo represent \\(\\sqrt{9.3}\\) on the number line.
\nWe mark a point B on the number line so that AB = 9.3 units.
\nAgain mark a point C so that BC = 1 unit.
\nNow take the midpoint of AC and mark that point as O.
\nDraw a semicircle with centre O and radius OC.
\nDraw the line perpendicular to AC passing through B and intersecting the semicircle at D. Then, BD = \\(\\sqrt{9.3}\\)
\nAgain taking BD as a radius and draw an arc which intersecting the number line at E.
\nThen E represents \\(\\sqrt{9.3}\\) on number line.
\nTake b at zero on number line, then point E represent \\(\\sqrt{9.3}\\).<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nRationalise the denominators of the following:
\n(i) \\(\\frac{1}{\\sqrt{7}}\\)
\n(ii) \\(\\frac{1}{\\sqrt{7}-\\sqrt{6}}\\)
\n(iii) \\(\\frac{1}{\\sqrt{5}+\\sqrt{2}}\\)
\n(iv) \\(\\frac{1}{\\sqrt{7}-2}\\)
\nSolution:
\n(i) We have, \\(\\frac{1}{\\sqrt{7}}\\)
\nMultiply \u221a7 both numerator and denominator.
\n\\(\\frac{1}{\\sqrt{7}} \\times \\frac{\\sqrt{7}}{\\sqrt{7}}=\\frac{\\sqrt{7}}{7}\\)<\/p>\n

(ii) We have, \\(\\frac{1}{\\sqrt{7}-\\sqrt{6}}\\)
\nMultiply \u221a7 + \u221a6 both numerator and denominator
\n\\(\\frac{1}{\\sqrt{7}-\\sqrt{6}} \\times \\frac{\\sqrt{7}+\\sqrt{6}}{\\sqrt{7}+\\sqrt{6}}=\\frac{\\sqrt{7}+\\sqrt{6}}{7-6}\\)
\n= \\(\\frac{\\sqrt{7}+\\sqrt{6}}{1}\\)
\n= \u221a7 + \u221a6<\/p>\n

(iii) We have, \\(\\frac{1}{\\sqrt{5}+\\sqrt{2}}\\)
\nMultiply \u221a5 – \u221a2 both numerator and denominator
\n\\(\\frac{1}{\\sqrt{5}+\\sqrt{2}} \\times \\frac{\\sqrt{5}-\\sqrt{2}}{\\sqrt{5}-\\sqrt{2}}=\\frac{\\sqrt{5}-\\sqrt{2}}{5-2}=\\frac{\\sqrt{5}-\\sqrt{2}}{3}\\)<\/p>\n

\"NCERT<\/p>\n

(iv) We have
\n\\(\\frac{1}{\\sqrt{7}-2}=\\frac{1}{\\sqrt{7}-2} \\times \\frac{\\sqrt{7}+2}{\\sqrt{7}+2}\\)
\n= \\(\\frac{\\sqrt{7}+2}{7-4}\\)
\n= \\(\\frac{\\sqrt{7}+2}{3}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5 Question 1. Classify the following numbers as rational or irrational: (i) 2 – \u221a5 (ii) (3 + \u221a23) – …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5 Question 1. Classify the following numbers as rational or irrational: (i) 2 – \u221a5 (ii) (3 + \u221a23) – … NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/\" \/>\n<meta property=\"og:site_name\" content=\"NCERT Solutions\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-19T07:10:59+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-06-19T07:13:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:site\" content=\"@ncertsolguru\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Prasanna\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\",\"name\":\"NCERT Solutions\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/\",\"https:\/\/www.instagram.com\/ncertsolutionsguru\/\",\"https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/\",\"https:\/\/in.pinterest.com\/ncertsolutionsguru\/\",\"https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training\",\"https:\/\/twitter.com\/ncertsolguru\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1\",\"width\":460,\"height\":45,\"caption\":\"NCERT Solutions\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/ncertsolutions.guru\/#website\",\"url\":\"https:\/\/ncertsolutions.guru\/\",\"name\":\"NCERT Solutions\",\"description\":\"NCERT Solutions for Class 1 to 12\",\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/ncertsolutions.guru\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1\",\"width\":170,\"height\":17,\"caption\":\"NCERT Solutions\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage\",\"url\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/\",\"name\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage\"},\"datePublished\":\"2021-06-19T07:10:59+00:00\",\"dateModified\":\"2021-06-19T07:13:33+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/ncertsolutions.guru\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage\"},\"author\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\"},\"headline\":\"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5\",\"datePublished\":\"2021-06-19T07:10:59+00:00\",\"dateModified\":\"2021-06-19T07:13:33+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage\"},\"wordCount\":580,\"publisher\":{\"@id\":\"https:\/\/ncertsolutions.guru\/#organization\"},\"image\":{\"@id\":\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png\",\"articleSection\":[\"CBSE Class 9\"],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3\",\"name\":\"Prasanna\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/ncertsolutions.guru\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g\",\"caption\":\"Prasanna\"},\"url\":\"https:\/\/ncertsolutions.guru\/author\/prasanna\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions","og_description":"These NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Exercise 1.5 Question 1. Classify the following numbers as rational or irrational: (i) 2 – \u221a5 (ii) (3 + \u221a23) – … NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 Read More »","og_url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/","og_site_name":"NCERT Solutions","article_publisher":"https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","article_published_time":"2021-06-19T07:10:59+00:00","article_modified_time":"2021-06-19T07:13:33+00:00","og_image":[{"url":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png"}],"twitter_card":"summary_large_image","twitter_creator":"@ncertsolguru","twitter_site":"@ncertsolguru","twitter_misc":{"Written by":"Prasanna","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/ncertsolutions.guru\/#organization","name":"NCERT Solutions","url":"https:\/\/ncertsolutions.guru\/","sameAs":["https:\/\/www.facebook.com\/NCERTSolutionsGuru\/","https:\/\/www.instagram.com\/ncertsolutionsguru\/","https:\/\/www.linkedin.com\/in\/ncertsolutionsguru\/","https:\/\/in.pinterest.com\/ncertsolutionsguru\/","https:\/\/en.wikipedia.org\/wiki\/National_Council_of_Educational_Research_and_Training","https:\/\/twitter.com\/ncertsolguru"],"logo":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#logo","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2020\/05\/NCERT-Solutions.png?fit=460%2C45&ssl=1","width":460,"height":45,"caption":"NCERT Solutions"},"image":{"@id":"https:\/\/ncertsolutions.guru\/#logo"}},{"@type":"WebSite","@id":"https:\/\/ncertsolutions.guru\/#website","url":"https:\/\/ncertsolutions.guru\/","name":"NCERT Solutions","description":"NCERT Solutions for Class 1 to 12","publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ncertsolutions.guru\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage","inLanguage":"en-US","url":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","contentUrl":"https:\/\/i1.wp.com\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png?fit=170%2C17&ssl=1","width":170,"height":17,"caption":"NCERT Solutions"},{"@type":"WebPage","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage","url":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/","name":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5 - NCERT Solutions","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage"},"datePublished":"2021-06-19T07:10:59+00:00","dateModified":"2021-06-19T07:13:33+00:00","breadcrumb":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ncertsolutions.guru\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5"}]},{"@type":"Article","@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#article","isPartOf":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage"},"author":{"@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3"},"headline":"NCERT Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.5","datePublished":"2021-06-19T07:10:59+00:00","dateModified":"2021-06-19T07:13:33+00:00","mainEntityOfPage":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#webpage"},"wordCount":580,"publisher":{"@id":"https:\/\/ncertsolutions.guru\/#organization"},"image":{"@id":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-1-ex-1-5\/#primaryimage"},"thumbnailUrl":"https:\/\/ncertsolutions.guru\/wp-content\/uploads\/2021\/01\/NCERT-Solutions-Guru.png","articleSection":["CBSE Class 9"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/ncertsolutions.guru\/#\/schema\/person\/4ba9570f32f2057e70e670c7885e47f3","name":"Prasanna","image":{"@type":"ImageObject","@id":"https:\/\/ncertsolutions.guru\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/174540ad43736c7d1a4c4f83c775e74d?s=96&d=mm&r=g","caption":"Prasanna"},"url":"https:\/\/ncertsolutions.guru\/author\/prasanna\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/24592"}],"collection":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/comments?post=24592"}],"version-history":[{"count":0,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/posts\/24592\/revisions"}],"wp:attachment":[{"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/media?parent=24592"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/categories?post=24592"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ncertsolutions.guru\/wp-json\/wp\/v2\/tags?post=24592"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}