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Example 2 - Show that every positive even integer is of form 2q - Euclid's Division Algorithm - Proving

  1. Chapter 1 Class 10 Real Numbers
  2. Serial order wise
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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
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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