Volume 8 Math Stars Worksheet Page 8
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35Vol. 8 No. 2
9. (a) 38; b) 30; c) 278; The operation, #, is commutative i.e. a # b = b # a or a x b + 2 = b x a + 2
since multiplication is commutative in the real number system. The operation, &, is not
≠
≠
commutative since a & b
b & a or a + b x 2
b + a x 2. a & b = b & a, if and only if a = b.)
Students will need to carefully apply the order of operations and examine several cases in determining
the solution to this problem.
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