{"id":190,"date":"2017-04-16T18:03:42","date_gmt":"2017-04-16T12:33:42","guid":{"rendered":"http:\/\/ibelitetutor.com\/blog\/?p=190"},"modified":"2024-05-21T15:47:47","modified_gmt":"2024-05-21T10:17:47","slug":"represent-irrational-numbers-number-line","status":"publish","type":"post","link":"http:\/\/ibelitetutor.com\/blog\/represent-irrational-numbers-number-line\/","title":{"rendered":"How to represent irrational numbers on number line"},"content":{"rendered":"

Irrational numbers on the number line<\/strong><\/span><\/h2>\n

Irrational numbers are the numbers that have a non terminating and non-repeating decimal expansion. They don’t have any fixed value so we can’t represent them directly on the number line. Our IB Maths Tutors<\/a><\/strong> have to use a few tricks for this<\/p>\n

Before understanding the representation of irrational numbers on number line first, Our Online Maths Tutors<\/strong>, first explain\u00a0Pythagoras’ theorem<\/strong>
\nPythagoras’ Theorem::<\/strong> Over 2000 years ago there was an amazing discovery about triangles:
\nWhen a triangle has a right angle (90\u00b0) and squares are made on each of the three sides then the biggest square has the exact same area as the other two squares put together!<\/p>\n

OrIrrational\u00a0Numbers using Pythagoras\u00a0theorem<\/h3>\n

It can simply be written as an equation relating the lengths of the sides a, b and c, like this:<\/p>\n

After understanding Pythagoras’ theorem we will learn how to represent an irrational number \u00a0on a number line
\nSuppose we want to draw \u221a10 on the number line we will do the following steps:
\nfirst of all, we need to break 10 as a sum of two numbers which are perfect squares in themselves.
\nfor example, 10 can be written as 8+2,7+3,6+4,5+5 but we will prefer it breaking as 9+1<\/strong> because both 9 and 1 are complete squares. Then we do this:<\/p>\n

(\u221a10)\u00b2= 10
\n= 9+1
\n=(3)\u00b2+(1)\u00b2
\nnow if we draw a right-angled triangle taking one side as 3 unit, another side as 1 unit then hypotenuse will become \u221a10<\/p>\n

\"irrational<\/a>
rep. on the number line<\/figcaption><\/figure>\n

We can easily put this value on the number line. Many irrational numbers can be shown on the number line using this method
\nIn the\u00a0next post, IB Online Tutors<\/strong> will discuss the numbers which can not be written as a sum of two complete square numbers
\nYou can ask your doubts in the comments section. Our tutors\u00a0will answer them for free asap.<\/p>\n

\"faisal<\/p>\n

 <\/p>\n

This article is written by Mr. Faisal Khan. He is a well-known faculty of Mathematics in South Delhi. He has more than 18 years of experience working as a Mathematics teacher with the top-most schools of Delhi, NCR. He is currently working as a senior Mathematics Faculty with Hindustan Times Learning Centres Pvt. Ltd<\/strong><\/p>\n

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\"ib<\/p>\n\n

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    Irrational numbers on the number line Irrational numbers are the numbers that have a non terminating and non-repeating decimal expansion. They don’t have any fixed […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-190","post","type-post","status-publish","format-standard","hentry","category-cbse-tutors"],"_links":{"self":[{"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/posts\/190","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/comments?post=190"}],"version-history":[{"count":0,"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/posts\/190\/revisions"}],"wp:attachment":[{"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/media?parent=190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/categories?post=190"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/ibelitetutor.com\/blog\/wp-json\/wp\/v2\/tags?post=190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}