Adding 3-digit numbers with regrouping means that when the sum of the digits in the ones place is more than 9, we need to carry over (regroup) to the tens place. This makes the addition easier to manage. Imagine you have a big pile of ones, and once you get 10, you bundle them into a ten! Let's see how it works with some examples.
For example, if you're adding 247 and 125, you start by adding the ones (7+5=12). Since 12 is more than 9, you write down 2 in the ones place and carry over 1 to the tens place. Then, you add the tens (4+2+1=7). Finally, you add the hundreds (2+1=3). The answer is 372!
Match the following terms to their definitions:
| Term | Definition |
|---|---|
| 1. Sum | A. The process of carrying over when a sum is greater than 9. |
| 2. Ones Place | B. The third digit from the right in a number. |
| 3. Regrouping | C. The rightmost digit in a number. |
| 4. Tens Place | D. The result of adding two or more numbers. |
| 5. Hundreds Place | E. The second digit from the right in a number. |
When adding 3-digit numbers, we start with the ______ place. If the sum in any place is more than 9, we need to ______. This means we carry over to the next higher place value. For example, if adding the ones gives us 15, we write down 5 and carry ______ to the tens place. Then, we add the tens, including any carried over, and continue the process until we have added all the ______.
Explain in your own words why regrouping is important when adding multi-digit numbers. Give an example to illustrate your explanation.
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