Example 36 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at March 30, 2023 by Teachoo

Example 36 - Show addition, multiplication are associative on R - Whether binary commutative/associative or not

Example 36 - Chapter 1 Class 12 Relation and Functions - Part 2

Example 36 - Chapter 1 Class 12 Relation and Functions - Part 3

Example 36 - Chapter 1 Class 12 Relation and Functions - Part 4

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Example 36 Show that addition and multiplication are associative binary operation on R. But subtraction is not associative on R. Division is not associative on R∗. Addition * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) ∀ a, b, c ∈ R + is an associative binary operation Multiplication * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) ∀ a, b, c ∈ R × is an associative binary operation Subtraction * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) ∀ a, b, c ∈ R – is not an associative binary operation Division * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) ÷ is not an associative binary operation

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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