Addition with Regrouping Example: 6243 + 1924

To add two numbers with regrouping, we follow a step-by-step process to ensure accurate calculation. Let's break down the addition of 6243 and 1924 into smaller steps:

Step 1: Set up the Addition
Write down the two numbers, one below the other, aligning them based on their place values. In this case, we have:
```
6243
+ 1924
```

Step 2: Add the Ones (Units) Place Value
Start by adding the digits in the ones place (units place) of both numbers. In this case, we add 3 and 4, which gives us 7. Write down the sum below the line:
```
6243
+ 1924
______
7
```

Step 3: Add the Tens Place Value
Moving to the next column, add the digits in the tens place. Here, we have 4 and 2. Adding them gives us 6. Write down the sum below the line, in the tens place:
```
6243
+ 1924
______
67
```

Step 4: Add the Hundreds Place Value
Continue this process for the hundreds place. Here, we add 2 and 9, which equals 11. However, since we are working with a three-digit number, we need to regroup or carry over. Write down the 1 in the hundreds place below the line, and carry over the 10 to the next column:
```
6243
+ 1924
______
167
```

Step 5: Add the Thousands Place Value
Moving on to the thousands place, we add the digits 1, 2, and 6. This gives us 9. Write down the sum below the line:
```
6243
+ 1924
______
9171
```

Step 6: Final Answer
After completing all the place values, we have the final sum: 9171. Therefore, 6243 + 1924 = 9171.

Summary:
To add numbers with regrouping, we start by adding the digits in the ones place and then move on to the next place values, carrying over any excess values when necessary. In this example, we added 6243 and 1924 by adding the ones, tens, hundreds, and thousands place values one by one, resulting in a sum of 9171.