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High School Mathematics - 2
5.2 Laws of Binary Operations




Directions: Answer the following.
Q 1: Find the identity element if a*b = a+b+ab , a, b 1
Answer:

Q 2: Let * be a binary operation defined on Q. Find if a*b = ab/4 , for a,b Q is associative.
Answer:

Q 3: Let * be a binary operation defined on Q. Check if a*b = a-b, for a,b Q is associative.
Answer:

Q 4: Find the identity element on a*b = a+ab, a, b 1
Answer:

Q 5: Let a * b be a binary operation on N given by a * b = l.c.m (a,b), a, b, N, find 2*4
8
4
2

Q 6: Let * be a binary operation defined on Q. Check if a*b = a2+b2, for a,b Q is commutative.
No
Yes

Q 7: Let * be a binary operation defined on Q. Check if a*b = a-b, for a,b Q is commutative.
No
Yes

Q 8: Let A = N x N and let * be a binary operation on A defined by (a,b)*(c,d) = (ac, bd). Show that (A,*) is associative.
Answer:

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Question 10: This question is available to subscribers only!


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