Frank Szmulowicz, Ph. D. Aug 11, 2014:

Technically, we have "addition and subtraction with/without the change of the tens digit", where with = z przekraczaniem and without = bez przekraczania.

DLyons Aug 11, 2014:

@pawelpl Strictly speaking it's ""addition with carrying and subtraction with borrowing". carrying only applies to addition. borrowing only applies to subtraction (but when one borrows one has, of course to pay back, which is similar to carrying).

pawelpl (asker) Aug 11, 2014:

So "dodawanie i odejmowanie Z przekraczaniem progu dziesiątkowego" is "addition and subtraction WITH carrying and borrowing"? I mean, is the "WITH" necessary?

George BuLah (X) Aug 8, 2014:

we call it, e. g. ... "jeden w rozumie" ;))

DLyons Aug 8, 2014:

@MacroJanus In English, we tend to shorten things (for better or worse). This is a standard operation in teaching arithmetic, well understood by teachers, so I'd keep it simple myself.

Frank Szmulowicz, Ph. D. Aug 8, 2014:

"addition and subtraction WITHOUT carrying and borrowing" is a general term that would apply to not changing the tens digit as long as we do not go past 100. Past 100, the hundreds digit would come into play.
So, you can shorten to "addition and subtraction up to 100 without carrying and borrowing," since not changing the tens digit would be implied. Or, put in the whole term,similar to my answer.

pawelpl (asker) Aug 8, 2014:

@MacroJanus Is is true then that "addition and subtraction with carrying and borrowing" is the same as "addition and subtraction with changing the tens digit"? Can I use these two phrases interchangeably?

Frank Szmulowicz, Ph. D. Aug 8, 2014:

Subtraction worksheets with borrowing. This set of printable subtraction worksheets for kids includes lots of two digit subtraction problems with borrowing.
http://www.kidslearningstation.com/math/subtraction-borrowin...

There is a newspeak these days: borrowing also goes by the name of regrouping.

Frank Szmulowicz, Ph. D. Aug 8, 2014:

Precisely, pawelpl: when you add, you carry; when you subtract, you borrow. In general, " without changing the tens digit."

Frank Szmulowicz, Ph. D. Aug 8, 2014:

Sorry, Robert. I came to the same conclusion. Once I entered my answer, I saw your erudite explanation.
BTW: when you add, you CARRY the tens digit

pawelpl (asker) Aug 8, 2014:

@Robert Foltyn Rozumiem. Mi chodzi o to, że nonsensem jest tłumaczenie, które mi osobiście wynikło: "Addition and subtraction to 100 up to 10".

Robert Foltyn Aug 8, 2014:

nie nonsens Chodzi o dadawanie np. 34 + 36, ale nie 34 + 37, bo 4 + 7 >10.
Podobnie z odejmowaniem: 37 - 33 --> tak. 37 - 18 --> nie, bo 7 - 8 <0