Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Binary Operations
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2024 Exams
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Binary Operations
Last updated at May 29, 2023 by Teachoo
Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (v) On Z+, define a * b = ๐^๐ Check commutative * is commutative if a * b = b * a Since a * b โ b * a * is not commutative a * b = ๐^๐ b * a = ๐^๐ Check associative * is associative if (a * b) * c = a * (b * c) Example Let a = 2, b = 3, c = 4 (a * b)* c = (๐^๐) * c = (๐^๐ )^๐ a * (b * c) = a * (2^๐๐) = 2^(๐2^๐๐ ) (a * b)* c = (2 * 3) * 4 = (2^3) * 4 = 8 * 4 = 8^4 a * (b * c) = 2 * (3 * 4) = 2 * (3^4) = 2 * 81 = 2^81 Since (a * b) * c โ a * (b * c) * is not an associative binary operation