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Rewrite the expression a ≡ b (mod n) into a workable equation.

a) a = bn
b) a = bn + r
c) a = bn - r
d) a = bn + 1

1 Answer

2 votes

Final answer:

To rewrite a ≡ b (mod n), we use the equation a = bn + r, which expresses the congruence relation correctly, indicating that a and b leave the same remainder when divided by n.

Step-by-step explanation:

To rewrite the expression a ≡ b (mod n) into a workable equation, understand that this congruence relation means that a and b have the same remainder when divided by n. Therefore, the correct form of the equation that represents this relationship is a = bn + r, where b is a quotient, n is the modulus, and r is the remainder.

The answer is therefore option b) a = bn + r.

User Ankur Marwaha
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