Question

Find the sum using base-ten pieces. Be sure to show your regrouping.

356+274
a) 620
b) 6200
c) 630
d) 63

Answer 1

The correct answer to the student's question is 630, obtained by adding 356 and 274 with proper regrouping at each place value, leading to the answer option c).

Step-by-step explanation:

The correct answer is option c) 630. To find the sum of 356 and 274 using base-ten blocks, you would conduct the addition as follows, ensuring to show your regrouping:

1. Add the ones place: 6 + 4 = 10, so write down 0 and regroup 1 to the tens place.
2. Add the tens place: 5 + 7 = 12, plus the regrouped 1 makes 13; write down 3 and regroup 1 to the hundreds place.
3. Add the hundreds place: 3 + 2 = 5, plus the regrouped 1 makes 6; write down 6.

This results in the final sum of 630. Remember that regrouping in addition is the same as carrying over to the next place value when the sum exceeds 9 in any given place value.