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### High School Mathematics - 25.3 Binary Operations - Review

 Q 1: Find the identity element for the operation a*b = a+b+1, a, b € IAnswer: Q 2: Find the identity element a*b = a+b+ab, a, b € IAnswer: Q 3: Is a*b = a2 + b2 on Q commutative? Write your answer as Y or N.Answer: Q 4: Find if the binary operation a*b = (a+b)/2 on Q associative? Write your answer as Y or N.Answer: Q 5: For I = (-2,-1,0,1,2) and the binary operation addition is defined on I, find the inverse of -1?Answer: Q 6: Check if a*b = a+ab is associative. Write as Y or NAnswer: Q 7: Check if a*b = ab/4 is associative. Write your answer as Y or N.Answer: Q 8: Check if a*b = a-b is associative. Wrie your answer as y or N.Answer: Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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