78 ≡ 2 (mod 7)

asked by guest
on Jul 06, 2024 at 6:26 am



You asked:

Evaluate the congruence relation statement $78 \equiv 2 \pmod{7}$.

MathBot Answer:

This congruence relation statement is not true.

Two expressions $a$ and $b$ are congruent modulo $n$ if $a - b$ is a multiple of $n$.

$78 - 2 = 76$, which is not a multiple of $7$, so the congruence relation statement is not true.

This is because dividing $76$ by $7$ produces $10$ with a non-zero remainder of $6$.


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