The absolute value of a number is simply how far it sits from zero on the number line, with the sign stripped away, so it is always zero or positive. This calculator gives you that value instantly for any number you enter, whether it is a whole number, a decimal or a negative, and it also works out the distance between two numbers, which is one of the most common real uses of absolute value. The idea sounds abstract but it turns up constantly: the size of a temperature change regardless of whether it rose or fell, how far apart two points are, the magnitude of an error or difference without worrying about direction, or the gap between a budget and what was actually spent. In each of those cases you care about the size of the difference, not its sign, and that is exactly what absolute value gives you. The tool shows both the absolute value of a single number and, when you enter two numbers, the distance between them, calculated as the absolute value of their difference so the order you type them in never changes the answer. It is a favourite topic in school algebra, where absolute value notation, the two vertical bars, often confuses students, so this page doubles as a quick check for homework and a way to build intuition by trying different numbers and watching the result. Everything updates as you type, the method is explained in plain English below with a worked example, and the calculator handles decimals and negatives cleanly, making it a dependable little tool for students, teachers and anyone who needs the size of a number or a gap.
The absolute value keeps a number the same if it is positive and removes the minus sign if it is negative, because both lie the same distance from zero. The distance between two numbers is the absolute value of one minus the other, so it does not matter which you subtract from which; the gap is the same either way.
The absolute value of minus 7 is 7, since minus 7 is seven steps from zero. The distance between 3 and minus 4 is the absolute value of 3 minus minus 4, which is the absolute value of 7, so 7. Reverse it and you get the absolute value of minus 4 minus 3, which is the absolute value of minus 7, still 7.
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