Adding multi-digit numbers involves a process of aligning the numbers vertically by place value and then adding each column, starting from the right (ones place) and moving left. Regrouping (carrying over) is necessary when the sum of a column exceeds 9.
Steps to Add Multi-Digit Numbers:
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Align the Numbers: Write the numbers vertically, aligning the digits according to their place value (ones, tens, hundreds, thousands, etc.). This ensures you're adding the correct values together.
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Add the Ones Place: Begin by adding the digits in the ones column.
- If the sum is less than 10, write the sum directly below the line in the ones place.
- If the sum is 10 or greater, write the ones digit of the sum below the line in the ones place and "carry over" the tens digit to the top of the next column (tens place).
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Add the Tens Place: Add the digits in the tens column, including any carry-over from the ones place.
- If the sum is less than 10, write the sum below the line in the tens place.
- If the sum is 10 or greater, write the ones digit of the sum below the line in the tens place and carry over the tens digit to the top of the next column (hundreds place).
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Repeat for Remaining Columns: Continue adding each column from right to left, always including any carry-over from the previous column. Repeat the regrouping (carrying over) process as needed.
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Read the Sum: Once you've added all the columns, the number below the line represents the sum of the multi-digit numbers.
Example:
Let's add 1,234 and 567:
1234
+ 567
-------- Ones Place: 4 + 7 = 11. Write down '1' and carry-over '1' to the tens place.
1
1234
+ 567
-------
1- Tens Place: 1 (carry-over) + 3 + 6 = 10. Write down '0' and carry-over '1' to the hundreds place.
1 1
1234
+ 567
-------
01- Hundreds Place: 1 (carry-over) + 2 + 5 = 8. Write down '8'.
1 1
1234
+ 567
-------
801- Thousands Place: 1 + 0 = 1. Write down '1'.
1 1
1234
+ 567
-------
1801Therefore, 1,234 + 567 = 1,801.
