Sum Calculator
Add multiple numbers instantly - see the total, count, and average
About Sum
What is Sum?
The sum is the result of adding two or more numbers together. It's one of the most basic arithmetic operations and is used in countless applications.
Sum Formula:
Sum = a + b + c + ... + nCommon Uses:
- Totalling expenses or income
- Adding test scores
- Calculating totals in spreadsheets
- Finding the sum of a series
- Financial calculations
Sum Properties:
- Commutative: a + b = b + a (order doesn't matter)
- Associative: (a + b) + c = a + (b + c)
- Identity: a + 0 = a (adding zero doesn't change)
- Inverse: a + (-a) = 0
Example:
Find the sum of: 5, 8, 12, 15, 20
Sum = 5 + 8 + 12 + 15 + 20 = 60
About This Calculator
Sum Calculator - Add Multiple Numbers
Calculate the sum of multiple numbers instantly with our free online sum calculator. Add numbers separated by commas, spaces, or new lines and get the total, count, and average.
What is Sum?
The sum is the result of adding two or more numbers together. It's one of the four basic arithmetic operations and is fundamental to mathematics.
Sum Formula
Sum = a + b + c + ... + n
Example Calculation
Find the sum of: 5, 8, 12, 15, 20
Sum = 5 + 8 + 12 + 15 + 20
Sum = 60
How to Use This Calculator
- Enter Numbers - Input values separated by commas, spaces, or new lines
- Choose Precision - Select decimal places for results
- Calculate - View sum, count, and average
- Partial Sums - Toggle to see running totals
Properties of Addition
Commutative Property
The order of numbers doesn't change the sum.
a + b = b + a
Example: 3 + 5 = 5 + 3 = 8
Associative Property
Grouping doesn't change the sum.
(a + b) + c = a + (b + c)
Example: (2 + 3) + 4 = 2 + (3 + 4) = 9
Identity Property
Adding zero doesn't change the value.
a + 0 = a
Example: 7 + 0 = 7
Inverse Property
Adding a number's inverse gives zero.
a + (-a) = 0
Example: 5 + (-5) = 0
Sum Applications
Finance
- Total expenses for a month
- Sum of all invoices
- Adding income sources
- Calculating totals
Education
- Total test points earned
- Sum of assignment scores
- Grade calculations
- Average preparation
Business
- Total sales revenue
- Sum of daily transactions
- Inventory totals
- Performance metrics
Running Total (Partial Sums)
A running total shows the sum at each step of addition.
Example: 5, 8, 12, 15, 20
| Step | Value | Running Sum |
|---|---|---|
| 1 | 5 | 5 |
| 2 | 8 | 13 |
| 3 | 12 | 25 |
| 4 | 15 | 40 |
| 5 | 20 | 60 |
Sum Notation
In mathematics, the Greek letter sigma (Σ) represents sum:
Sum from i=1 to n of xi = x1 + x2 + ... + xn
This notation is used in statistics, calculus, and many other fields.
Practice Problems
Problem 1
Find the sum of: 10, 20, 30, 40, 50
Solution: Sum = 150
Problem 2
A student scored 85, 92, 78, 88 on tests. What's the total?
Solution: Sum = 343
Frequently Asked Questions
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