Long Addition Calculator
Step-by-step column addition for whole numbers and decimals with carry-over visualization
Calculate Long Addition
Enter a positive number (decimals allowed)
Enter a positive number (decimals allowed)
Example Calculation
Example 1: Whole Numbers
Key steps: Handle carries when sum ≥ 10
Example 2: Decimal Numbers
Key steps: Align decimal points, pad with zeros
Long Addition Rules
Align Numbers
Right-align by place value
Ones under ones, tens under tens
Add Columns
Start from rightmost column
Work left, one column at a time
Handle Carries
When sum ≥ 10, carry over
Write ones digit, carry tens digit
Addition Tips
Always align numbers by their rightmost digits
For decimals, align the decimal points
Remember to include carries in next column
Double-check by adding in reverse order
Understanding Long Addition (Column Addition)
What is Long Addition?
Long addition, also known as column addition, is a systematic method for adding numbers with multiple digits. It breaks down the addition into manageable steps by adding each column (place value) separately, starting from the rightmost column.
Why Use Long Addition?
- •Makes adding large numbers manageable
- •Reduces errors through systematic approach
- •Works for both whole numbers and decimals
- •Foundation for understanding place value
Step-by-Step Method
Remember: For decimals, align decimal points and pad with zeros as needed.
Adding Decimal Numbers
When adding decimal numbers, the key is proper alignment. The decimal points must be aligned vertically, and you can fill in missing decimal places with zeros.
Example: 15.413 + 5437.321
Carrying Over Rules
Write the digit directly in the result
Write ones digit in result, carry tens digit to next column
Carry from after decimal to before decimal normally