78 ≡ 1 (mod 7)
You asked:
Evaluate the congruence relation statement $78 \equiv 1 \pmod{7}$.
MathBot Answer:
This congruence relation statement is true.
Two expressions $a$ and $b$ are congruent modulo $n$ if $a - b$ is a multiple of $n$.
$78 - 1 = 77$, which is a multiple of $7$, so the congruence relation statement is true.
This is because dividing $77$ by $7$ produces $11$ with a remainder of $0$.