Question

find 682 - 127
682 = 600 + 80 + 2
-127 = 100 + 20 + 7
do you need to regroup before you subtract?

• yes, regroup a hundred to get more tens.
• yes, regroup a ten to get more ones.
• no regrouping is needed.

Explanation:

To determine if regrouping is needed, we analyze the digits in each place value (hundreds, tens, ones) for the subtraction \(682 - 127\).

• Ones place: We have \(2\) (from \(682\)) and \(7\) (from \(127\)). Since \(2 < 7\), we need to regroup 1 ten from the tens place to the ones place. After regrouping, the ones place becomes \(12\), and we can then subtract \(7\) from \(12\) (\(12 - 7 = 5\)).
• Tens place: Originally, we had \(8\) tens, but we regrouped 1 ten to the ones place, so we now have \(7\) tens. We subtract \(2\) tens (from \(127\)): \(7 - 2 = 5\).
• Hundreds place: We have \(6\) hundreds and subtract \(1\) hundred (from \(127\)): \(6 - 1 = 5\).

The key regrouping here is in the tens place to get more ones (since the ones digit of the minuend was less than the ones digit of the subtrahend). So we need to regroup 1 ten to get more ones.

Answer:

Yes, regroup 1 ten to get more ones.