Direction: simplify the following 57(mod7)

57(mod7)

To simplify 57(mod7), we need to find the remainder when 57 is divided by 7.

Steps:

1. Divide 57 by 7: $57 \div 7 = 8$ with a remainder.
2. Calculate the remainder: $7 \times 8 = 56$ $57 - 56 = 1$

Therefore, the remainder is 1.

Answer: $57 \equiv 1 \pmod{7}$