Integer Operations Calculator
How It Works
This integer operations calculator uses established formulas to provide accurate results.
The basic rule:
- Same signs multiply/divide → Positive
- Different signs multiply/divide → Negative
- a - b = a + (-b)
- a - (-b) = a + b
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What are integers?
Integers are whole numbers that can be positive, negative, or zero. Examples: -3, -2, -1, 0, 1, 2, 3. They do not include fractions or decimals.
What are the rules for multiplying integers?
Positive × Positive = Positive, Negative × Negative = Positive, Positive × Negative = Negative. In short: same signs give a positive result, different signs give a negative result.
How do you subtract a negative number?
Subtracting a negative is the same as adding a positive. For example, 5 - (-3) = 5 + 3 = 8. Think of it as removing a debt, which increases your total.
Why does a negative times a negative equal a positive?
Think of it as reversing a reversal. If negative means 'opposite direction,' then two negatives reverse direction twice, bringing you back to positive. Mathematically, it maintains the distributive property.