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Example 2 - Show that every positive even integer is of form 2q - Examples

Example 2 - Chapter 1 Class 10 Real Numbers - Part 2

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Example 2 Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+ 1, where q is some integer. As per Euclid’s Division Lemma If a and b are 2 positive integers, then a = bq + r where 0 ≤ r < b Let positive integer be a And b = 2 Hence a = 2q + r where ( 0 ≤ r < 2) r is an integer greater than or equal to 0 and less than 2 hence r can be either 0 or 1

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.