Binary Operations
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (iii) Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (iv) Important Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (v) Deleted for CBSE Board 2025 Exams
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Ex 1.4, 2 (ii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (iii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (iv) Important Deleted for CBSE Board 2025 Exams
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Ex 1.4, 2 (vi) Important Deleted for CBSE Board 2025 Exams
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Binary Operations
Last updated at April 16, 2024 by Teachoo
Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (v) On Z+, define a * b = π^π Check commutative * is commutative if a * b = b * a Since a * b β b * a * is not commutative a * b = π^π b * a = π^π Check associative * is associative if (a * b) * c = a * (b * c) Example Let a = 2, b = 3, c = 4 (a * b)* c = (π^π) * c = (π^π )^π a * (b * c) = a * (2^ππ) = 2^(π2^ππ ) (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 β a * (b * c) * is not an associative binary operation