Binary Operations — Important Questions
ICSE · Class 12 · Mathematics
101 important questions from Binary Operations for ICSE Class 12 Mathematics, with answers. Includes multiple choice and true false questions.
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Important Questions from Binary Operations
A binary operation * is associative if:
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(a*b)*c = a*(b*c) for all a, b, c ∈ A
Associativity means grouping (brackets) doesn't matter: (a*b)*c = a*(b*c) for all elements.
The identity element e for addition on ℝ is:
The identity element for multiplication on ℝ is:
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1
a × 1 = 1 × a = a for all a ∈ ℝ. So 1 is the multiplicative identity.
The inverse of element a under addition on ℝ is:
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−a
a + (−a) = 0 = identity. So the additive inverse of a is −a.
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