Question

compute the value of the following modular expression using modulo reduction. your answer must be a specific mod 9 number, not a formula or expression of any kind. 757 mod 9?

Answer 1

The value of 757 mod 9 is 1, which can be determined using modulo reduction and properties of modular arithmetic by summing the digits until obtaining a single digit.

Step-by-step explanation:

To compute the value of 757 mod 9, you can use modulo reduction. When dealing with modulo operations, you can break down the number into smaller parts that are easier to handle or use properties of modularity to simplify the calculations. The sum of the digits in 757 is 7 + 5 + 7 = 19, and since this process can be continued, 1 + 9 = 10, and then 1 + 0 = 1. According to the properties of modular arithmetic, if the sum of the digits is divisible by 9, so is the whole number. Thus, 757 mod 9 is the same as 1 mod 9, giving us a result of 1.