https://en.m.wikipedia.org/wiki/Carry_(arithmetic)
Definition of carry in Wikipedia
I'm guessing the answer is no but just to be sure I wanted to know of there is a way to predict the amount of carry overs one can get by doing a sum in base 10.
Given a natural number $a$, for example, can I predict the amount of carry overs I will get by doing $ a^2 + 2a +1$? I want to know if it is possible to do this without actually computing the sum.
Thanks in advance
Edit: To clarify, the number of carries in a sum indicates the amount of times one position adds 10 or more. I'm finding this hard to explain so here goes an example:
When you were at school you were probably taught to sum by adding in each position, and if the sum of the numbers in that position exceeds 10, you "carry" a 1 to the next position to the left, leaving in the original position the rightmost digit of your sum.
So for example 5+6 has 1 carry since you add two numbers in the $10^0$ position and carry a 1 to the $10^1$ position