Addition Calculator

Add multiple numbers together with our free online addition calculator. See step-by-step solutions and understand how addition works.

Step-by-Step Examples

Example 1: Simple Addition

Problem: 23 + 45

23 + 45 ---- 68
Step 1: Add ones place: 3 + 5 = 8
Step 2: Add tens place: 2 + 4 = 6
Result: 68
Example 2: Addition with Carrying

Problem: 58 + 37

1 (carry) 58 + 37 ---- 95
Step 1: Add ones place: 8 + 7 = 15 (write 5, carry 1)
Step 2: Add tens place: 5 + 3 + 1 (carry) = 9
Result: 95
Example 3: Adding Three Numbers

Problem: 156 + 278 + 94

Step 1: Add first two numbers: 156 + 278 = 434
Step 2: Add result to third number: 434 + 94 = 528
Result: 528
Example 4: Adding Decimals

Problem: 12.5 + 3.75 + 8.25

Step 1: Align decimal points: 12.50 + 3.75 + 8.25
Step 2: Add hundredths: 0 + 5 + 5 = 10 (write 0, carry 1)
Step 3: Add tenths: 5 + 7 + 2 + 1 = 15 (write 5, carry 1)
Step 4: Add ones: 2 + 3 + 8 + 1 = 14 (write 4, carry 1)
Step 5: Add tens: 1 + 1 = 2
Result: 24.5
Example 5: Large Numbers

Problem: 12,456 + 8,739

1 1 1 (carries) 12456 + 8739 ------ 21195
Step 1: Ones: 6 + 9 = 15 (write 5, carry 1)
Step 2: Tens: 5 + 3 + 1 = 9
Step 3: Hundreds: 4 + 7 = 11 (write 1, carry 1)
Step 4: Thousands: 2 + 8 + 1 = 11 (write 1, carry 1)
Step 5: Ten-thousands: 1 + 1 = 2
Result: 21,195

About Addition

Addition is one of the four basic arithmetic operations. It combines two or more numbers to find their total or sum.

Key Terms

  • Sum: The result of an addition problem
  • Addends: The numbers being added together
  • Carry: When the sum of digits exceeds 9, we "carry" the extra to the next place value

Properties of Addition

  • Commutative Property: a + b = b + a (order doesn't matter)
  • Associative Property: (a + b) + c = a + (b + c) (grouping doesn't matter)
  • Identity Property: a + 0 = a (adding zero doesn't change the number)

Tips for Mental Addition

  • Round numbers to make them easier to add, then adjust
  • Add from left to right for mental math
  • Look for combinations that make 10 or 100
  • Break numbers into parts (e.g., 47 + 38 = 47 + 30 + 8)