Integer Calculator
Add, subtract, multiply and divide positive and negative numbers, with the sign rules explained and the jump shown on a number line.
About the Integer Calculator
Integers are whole numbers that can be negative, zero or positive. Adding a positive number moves right on the number line; adding a negative moves left. Subtracting a number is the same as adding its opposite.
For multiplying and dividing, the sign rule is simple: same signs give a positive answer, different signs give a negative one.
The formula
a − b = a + (−b); (−a) × (−b) = ab
Sign rules
| Signs | × or ÷ gives |
|---|---|
| + and + | + |
| − and − | + |
| + and − | − |
| − and + | − |
Worked example
7 + (−10)
- Different signs: subtract the sizes, 10 − 7 = 3
- 10 is larger and negative, so the answer is −3
Questions people ask
Why is a negative times a negative positive?
Multiplying by −1 flips direction on the number line. Flipping twice brings you back to the positive side.
Is zero positive or negative?
Neither. Adding or subtracting zero changes nothing.