The value of the operation [8][7] in Z_{6} and to write the answer in the form [r] with 0\leq r < m.

remolatg

remolatg

Answered question

2021-04-26

The value of the operation [8][7] in Z6 and to write the answer in the form [r] with 0rm.

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-04-28Added 106 answers

Definition used:
Congruence.
Let m be an integer greater than 1. If x and y are integers, then x is congruent to y modulo m if x — y is divisible by m. It can be represented as x=y±odm. This relation is called as congruence modulo m.
Calculation:
It is known that, [x] + [y] = [x+y].
Then, the value of the expression becomes as follows.
[8][7]=[8×7]
=[56]
Since 562±od6. Thus [8][7]=[2] in Z6.
Therefore, the value of the expression is [2].

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