When Any Natural Number Is Divided by 10 What Is the Sum of All Possible Remainders?


Question: When any natural number is divided by 10, what is the sum of all possible remainders?

Natural numbers are the part of the number system that include all positive integers from 1 upt0 infinity

Answer: When any natural number is divided by 10, sum of all possible remainders are 45

Let's look into the possible outcomes of the remainder obtained when the natural numbers are divided by 10

Explanation:

Let's take some examples to see the possible remainders

When 20 is divided by 10, the remainder is  0

When 21 is divided by 10, the remainder is  1

When 22 is divided by 10, the remainder is  2

Similarly, When 29 is divided by 10, the remainder is 9

Thus, we see that if every natural number is divided by 10, the possible remainders are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Sum of all possible remainders = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Therefore, when any natural number is divided by 10, sum of all possible remainders are 45