Adding Subtracting Multiplying and Dividing Negative Numbers Calculator

Negative numbers are a fundamental concept in mathematics that can be tricky to master. This guide explains how to add, subtract, multiply, and divide negative numbers with clear examples and a practical calculator.

How to Use This Calculator

This calculator performs all four basic operations with negative numbers. Simply enter your numbers and select the operation you want to perform. The calculator will show you the result and explain how it was calculated.

Note: This calculator assumes you're working with standard negative numbers (e.g., -5, -2.3). It does not handle complex numbers or other special cases.

Adding Negative Numbers

When you add two negative numbers, you combine their absolute values and keep the negative sign. For example:

-3 + (-2) = -(3 + 2) = -5

This means you're moving left on the number line by 3 units and then left by another 2 units, totaling 5 units to the left.

Example

If you have -8 and -4, adding them together gives you -12.

Subtracting Negative Numbers

Subtracting a negative number is the same as adding its positive counterpart. For example:

-5 - (-3) = -5 + 3 = -2

This is because subtracting a negative is like adding the opposite.

Example

If you have -10 and subtract -7, you get -3.

Multiplying Negative Numbers

When you multiply two negative numbers, the result is positive. For example:

-4 × -3 = 12

This is because the negatives cancel each other out.

Example

Multiplying -6 by -5 gives you 30.

Dividing Negative Numbers

When you divide two negative numbers, the result is positive. For example:

-12 ÷ -3 = 4

The negatives cancel each other out, similar to multiplication.

Example

Dividing -20 by -5 gives you 4.

Common Mistakes

Many people make these mistakes when working with negative numbers:

Adding negative numbers by subtracting their absolute values (e.g., -3 + -2 = -1 instead of -5)
Subtracting a negative number by adding its absolute value (e.g., -5 - -3 = -8 instead of -2)
Assuming that multiplying or dividing two negatives will always give a negative result

Using the calculator and following the rules can help you avoid these errors.

FAQ

Can I use this calculator for complex numbers?: No, this calculator only works with standard negative numbers.
What happens when I divide by zero?: The calculator will show an error message since division by zero is undefined.
Is there a difference between -0 and 0?: No, -0 is mathematically equivalent to 0 in standard arithmetic.
Can I use decimals with this calculator?: Yes, the calculator accepts both whole numbers and decimals.
How do I clear the calculator?: Click the "Reset" button to clear all inputs and results.