The value of the operation [9][6] in Z_{10} and to write the answer in the form [r] with 0\leq r<m.

Tammy Todd

Tammy Todd

Answered question

2021-03-07

The value of the operation [9][6] in Z10 and to write the answer in the form [r] with 0r<m.

Answer & Explanation

pattererX

pattererX

Skilled2021-03-09Added 95 answers

Definition used:
Congruence.
Let m be an integer greater than 1. If xand yare 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.
[9][6]=[9×6]
=[54]
Since 544±od10. Thus [9][6]=[4] in Z10.
Therefore, the value of the expression is [4].

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