To perform: The operation [-12]+[95] in Z_{25} and indicate the answer in [r] where 0\leq r\leq m.

illusiia

illusiia

Answered question

2021-03-30

To perform: The operation [-12]+[95] in Z25 and indicate the answer in [r] where 0rm.

Answer & Explanation

i1ziZ

i1ziZ

Skilled2021-04-01Added 92 answers

Procedure used:
Procedure to perform operation in Zm.
1 Consider the operation.
2 Perform the operation with the help of congruence.
3 Obtain and dictate the answer.
Viability of congruence.
The congruence defined as x=y(bmodm) is true if x — y is divisible by m.
Calculation:
Consider the given operation as below.
[-12]+[95]
It is evident that [x]+[y]=[x+y].
That is, [-12]+[95] can be further simplified as follows:
[-12]+[95]=[-12+95]=[83]
Therefore, in Z25 the above operation can be written as shown below:
[-12]+[95]=[83]
=[8]   (838(bmod25))
Therefore, the operation [-12]+[95] in Z25 will result as [-12]+[95]=[8].

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?