total — Definition, Formula & Examples
A total is the result you get when you add two or more numbers together. It tells you the combined amount of everything counted or measured.
The total of a set of values is the single quantity obtained by computing the sum of all values in that set. It is synonymous with the additive result, often written as .
Key Formula
Where:
- = The individual values being combined
- = The number of values
How It Works
To find a total, list every quantity you need to combine, then add them together. If you buy items priced at $3, $5, and $7, you add those three amounts to get the total cost. The word "total" appears in everyday situations like grocery bills, scores, and distances, and it always signals that addition is the operation to use.
Worked Example
Problem: A student scores 85, 92, and 78 on three tests. What is the total of the scores?
Step 1: Write out the addition.
Step 2: Add the first two numbers.
Step 3: Add the third number to that result.
Answer: The total score is 255.
Why It Matters
Finding totals is one of the first skills used in budgeting, scorekeeping, and data analysis. In later courses, totals form the basis for computing averages, and in statistics you sum data values before dividing to find a mean.
Common Mistakes
Mistake: Confusing "total" with "how many more" and subtracting instead of adding.
Correction: "Total" always means the combined amount. If a problem asks for a total, use addition, not subtraction.