The value of the operation [3][20] in Z_{11} and to write the answer in the form [r] with 0\leq r < m.

Trent Carpenter

Trent Carpenter

Answered question

2021-05-09

The value of the operation [3][20] in Z11 and to write the answer in the form [r] with 0r<m.

Answer & Explanation

faldduE

faldduE

Skilled2021-05-11Added 109 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] = [xy].
Then, the value of the expression becomes as follows.
[3][20]=[3×20]=[60]
Since 605±od11. Thus [3][20] = [5] in Z11.
Therefore, the value of the expression is [5].

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