The value of the operation [8][11] in Z_{5} and to write the answer in the form [r] with 0\leq r<m.

Cabiolab

Cabiolab

Answered question

2021-05-19

The value of the operation [8][11] in Z5 and to write the answer in the form [r] with 0r<m.

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-05-21Added 85 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.
[8][11]=[8×11]=[88]
Since 88=3±od5. Thus [8][11] = [3] in Z5.
Therefore, the value of the expression is [3].

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