Negative Minus A Negative Calculator

When you subtract a negative number from another negative number, the result is positive. This counterintuitive rule is fundamental to understanding arithmetic operations with negative numbers. Our calculator helps you perform these calculations quickly and accurately.

What is Negative Minus a Negative?

The operation "negative minus a negative" refers to subtracting a negative number from another negative number. For example, -5 - (-3) is a negative minus a negative calculation.

This operation follows the rule that subtracting a negative number is equivalent to adding its absolute value. In mathematical terms:

Formula

a - (-b) = a + b

This rule is known as the "double negative equals positive" principle. It's important to remember that the negative signs cancel out when you subtract a negative number.

How to Calculate Negative Minus a Negative

To calculate negative minus a negative, follow these simple steps:

Identify the two negative numbers you want to work with.
Remove the negative sign from the second number (the one being subtracted).
Change the subtraction sign to an addition sign.
Perform the addition of the two numbers.

For example, to calculate -8 - (-3):

Identify the numbers: -8 and -3.
Remove the negative from -3, making it 3.
Change the subtraction to addition: -8 + 3.
Calculate: -8 + 3 = -5.

Important Note

Remember that the negative sign in front of the first number stays in place. Only the negative sign of the second number is removed.

Negative Minus Negative Examples

Here are some examples of negative minus negative calculations:

Calculation	Step-by-Step	Result
-4 - (-2)	-4 + 2	-2
-10 - (-5)	-10 + 5	-5
-7 - (-3)	-7 + 3	-4

These examples demonstrate how the negative signs cancel out when subtracting a negative number.

Negative Minus Negative FAQ

Why does subtracting a negative number give a positive result?: Subtracting a negative number is equivalent to adding its absolute value. This follows from the mathematical rule that a negative times a negative equals a positive.
What happens if both numbers are negative?: If you subtract a negative number from another negative number, the result is positive. For example, -5 - (-3) equals -2.
Can I use this rule for more complex calculations?: Yes, this rule applies to all negative numbers. You can use it in algebra, physics, and other mathematical contexts.
Is there a difference between -a - b and -a - (-b)?: Yes, -a - b means you subtract b from -a, while -a - (-b) means you add b to -a. The first gives a more negative result, the second gives a less negative result.