Yes, it is possible to add two 4-digit numbers without regrouping if the sum of the digits in each respective place value (thousands, hundreds, tens, and units) does not exceed 9. For example, adding 1234 and 4567 will require regrouping in the hundreds place, while adding 1234 and 4566 will not. Therefore, specific combinations of numbers can be added without the need for regrouping.
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