Denote by ×7 the operation “multiplication modulo 7” where ? ×7 ? is the remainder when ? × ? is divided by 7.  1. Construct the operation table for ×7 on the set ℤ?.  2. What is the identity element of ℤ? under ×7? 3. Determine the inverse of each element of ℤ7 with respect to ×7.

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