The value of the operation [12]+[25] in Z_{7} and to write the answer in the form [r] with 0\leq r<m.
Tazmin Horton
Answered question
2021-04-04
The value of the operation [12]+[25] in
Answer & Explanation
Cullen
Skilled2021-04-06Added 89 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
Calculation:
It is known that, [x] + [y] = [x+y].
Then, the value of the expression becomes as follows.
[12] + [25] = [12 + 25] = [37]
Since
Therefore, the value of the expression is [2].
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