Two-digit addition without regrouping refers to the process of adding two numbers that each have two digits, where the sum of the digits in each place value (tens and ones) does not exceed 9, thus not requiring carrying over to the next place value.

The sum of 12 and 32 is 44.

The sum of 15 and 64 is 79.

The sum of 46 and 43 is 89.

The sum of 85 and 14 is 99.

The sum of 54 and 24 is 78.

To add two-digit numbers without regrouping, align the numbers by place value, add the ones place digits, then add the tens place digits, ensuring that neither sum exceeds 9.

Place value is important in addition because it helps to organize numbers correctly, ensuring that digits are added in their respective columns (ones, tens, etc.) to obtain an accurate sum.

If the sum of the ones place exceeds 9, regrouping is required, which involves carrying over to the next place value (tens).

An example of two-digit addition with regrouping is 27 + 36. The sum of the ones place (7 + 6) is 13, which requires carrying over 1 to the tens place.