In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits. It is part of the standard algorithm to add numbers together by starting with the rightmost digits and working to the left. For example, when 6 and 7 are added to make 13, the "3" is written to the same column and the "1" is carried to the left. When used in subtraction the operation is called a borrow.
https://en.wikipedia.org/wiki/Carry_(arithmetic)
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When kids are learning two-digit addition and subtraction, one of the concepts they'll encounter is regrouping, which is also known as borrowing and carrying, carry-over, or column math.

The digit in the tens position, which is 1, must be then placed on top of the other two digits in the tens position and added together. In other words, you must "carry over" or "regroup" the place value as you add. More mental math. Add the 1 you carried over to digits already lined up in the tens positions, 3 and 1.
https://www.thoughtco.com/what-happened-to-borrowing-and-car...