Integer Calculator
Add, subtract, multiply, or divide integers with a plain-language explanation of the sign rule applied at each step.
Result
-3
The numbers have different signs, so subtract the smaller absolute value from the larger, and keep the sign of the number with the larger absolute value.
Recommended Settings
Pro Tips
- •When adding two negative numbers, add their absolute values and keep the negative sign - -3 + -5 = -8, not -2
- •Subtracting a number is always the same as adding its opposite - 7 - (-4) becomes 7 + 4 = 11
- •For multiplication and division, same signs give a positive result and different signs give a negative result, regardless of the actual values
- •Integer division here shows both the exact decimal result and the whole-number quotient with remainder, useful for different problem types
Most Popular
Most people check subtraction and multiplication of negative numbers, since sign errors are the most common mistake
When to Use This Tool
See the specific sign rule applied to understand why an answer is positive or negative.
Verify an integer arithmetic answer and see the reasoning behind it.
Perform fast integer calculations without reaching for a physical calculator.
Demonstrate sign rules with a clear, immediate explanation for each example.
How It Works
Parse both inputs as whole numbers and validate that division isn't by zero
Apply the selected arithmetic operation using standard integer sign rules
Generate a plain-language explanation of which sign rule applied to the specific combination of signs involved
100% Private
Files never leave your device. All processing happens locally in your browser.
Lightning Fast
Powered by Client-side integer arithmetic for optimal performance on modern browsers.
Open Source
Built with verified, open-source libraries. Fully transparent.
Frequently Asked Questions
What's the difference between the quotient and the exact division result?
The exact result is the true decimal value of the division. The quotient is the whole-number part after discarding any remainder, paired with the remainder itself - useful for problems that specifically ask for quotient and remainder.
Why does a negative times a negative equal a positive?
This follows from the consistent rules of arithmetic - multiplying by a negative number flips the sign of a value, so flipping twice (multiplying two negatives) returns to a positive result.
Does this accept decimal numbers?
No, this tool is specifically for integers (whole numbers, including negatives). For decimal arithmetic, use a standard or scientific calculator instead.
Is my data sent anywhere?
No. All calculations happen locally in your browser.