Adding and Subtracting Integers
Use + and - between numbers. Wrap negative numbers in parentheses, e.g. 5 - (-3).
This is a worked example. Clear the field and enter your own expression, then press Calculate.
ANSWER
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Adding and Subtracting Integers
Expressions mixing positive and negative integers, like -98 – (-5.67), trip people up because subtracting a negative flips to addition, this calculator evaluates the full expression and shows exactly how each sign resolves.
How to use this calculator
- Enter your Expression using + and – between numbers, wrapping negative numbers in parentheses, for example 5 – (-3).
- Read the Answer and the full step-by-step solution.
What this calculator does
This tool evaluates an expression of added and subtracted integers (including decimals and negative numbers), handling the sign rules correctly, subtracting a negative number is equivalent to adding its positive counterpart, and shows the full working.
Subtracting a negative = adding a positive: a − (−b) = a + b
Why “subtracting a negative” confuses people
The rule that subtracting a negative number flips to addition isn’t intuitive on first encounter, since it seems to contradict what “subtracting” should mean. This calculator’s step-by-step breakdown makes the sign-flip explicit for each operation in the expression, reinforcing why the rule works rather than just applying it silently.
Frequently asked questions
Why does subtracting a negative number turn into addition?
Subtracting a value is the same as adding its opposite, so subtracting a negative number means adding its positive counterpart, a − (−b) is mathematically identical to a + b.
Do I need to wrap negative numbers in parentheses when entering an expression?
Yes, wrapping negative numbers in parentheses (like 5 – (-3)) keeps the expression unambiguous between the subtraction operator and a negative sign.