Final answer:
To show that 1 is congruent to 7, you can use the modulus operator or modular arithmetic.
Step-by-step explanation:
In mathematics, congruence is a relation between two numbers that indicates they have the same remainder when divided by a given number. To show that 1 is congruent to 7, we can use the modulus operator (%). When we divide 1 by any number, the remainder is always 1. Similarly, when we divide 7 by any number, the remainder is always 7. Therefore, 1 is congruent to 7.
Another way to show congruence between 1 and 7 is by using modular arithmetic. In modular arithmetic, two numbers are congruent if they have the same remainder when divided by a given modulus. For example, using modulus 6, the remainder when 1 is divided by 6 is 1, and the remainder when 7 is divided by 6 is also 1. Therefore, 1 is congruent to 7 modulo 6.