The rules for ordinary arithmetic involving addition, subtraction, and multiplication carry over into modular arithmetic.

True

Explanation:

The modular or arithmetic arithmetic of the clock presented by Johann Carl Friedrich Gauss in his masterpiece Disquisitiones Arithmeticae in 1801, establishing the basis of the Number Theory.

With the hours it can be done every 12 or every 24, with minutes and seconds every 60 and with any number n, counting from 0 to n-1 and always going through the same numbers. They are the congruences module na ≡ b (mod n), of extreme importance in the study of prime numbers and cryptography, in the law of quadratic reciprocity and in the construction with ruler and compass of the regular 17-sided polygons, which led to Gauss to become a mathematician at age 19.