Negative Calculator Multiply

Multiplying negative numbers can be confusing, but it follows simple mathematical rules. This guide explains how to multiply negative numbers, provides examples, and includes an online calculator to help you practice.

How to Multiply Negative Numbers

Multiplying negative numbers follows specific rules that are different from multiplying positive numbers. Here's what you need to know:

When you multiply two negative numbers, the result is always positive. When you multiply a positive and a negative number, the result is always negative.

Negative Multiplication Rules

There are two basic rules for multiplying negative numbers:

Negative × Negative = Positive
Negative × Positive = Negative

These rules apply regardless of how many negative numbers you're multiplying. For example:

(-2) × (-3) = 6 (Positive)
(-2) × (-3) × (-4) = -24 (Negative)
(-2) × 3 × (-4) = -24 (Negative)

Formula: a × b = c
Where a and b are negative numbers, c is positive.

Negative Multiplication Rules

The rules for multiplying negative numbers are straightforward but can be confusing at first. Here's a breakdown:

Rule 1: Negative × Negative = Positive

When you multiply two negative numbers, the negatives cancel each other out, resulting in a positive number.

Example: (-3) × (-4) = 12

Rule 2: Negative × Positive = Negative

When you multiply a negative number by a positive number, the result is always negative.

Example: (-5) × 2 = -10

Multiple Negative Numbers

When multiplying more than two negative numbers, count the number of negative numbers:

If there's an even number of negative numbers, the result is positive.
If there's an odd number of negative numbers, the result is negative.

Example: (-2) × (-3) × (-4) = -24 (3 negatives = negative result)

Negative Calculator Multiply

Our online negative calculator multiply helps you practice multiplying negative numbers. Simply enter your numbers and click "Calculate" to see the result.

Use the calculator in the right sidebar to try different combinations of negative and positive numbers.

Examples

Here are some examples of multiplying negative numbers:

Example 1: Two Negative Numbers

Calculate (-4) × (-5):

Solution: (-4) × (-5) = 20

Example 2: Negative and Positive Number

Calculate (-3) × 6:

Solution: (-3) × 6 = -18

Example 3: Three Negative Numbers

Calculate (-2) × (-3) × (-4):

Solution: (-2) × (-3) × (-4) = -24

FAQ

Why is the result positive when multiplying two negative numbers?

When you multiply two negative numbers, the negatives cancel each other out, resulting in a positive number. This is a fundamental rule of mathematics.

What happens when you multiply a negative and a positive number?

The result is always negative. The negative sign from the negative number carries through to the final answer.

How do you multiply more than two negative numbers?

Count the number of negative numbers. If there's an even number, the result is positive. If there's an odd number, the result is negative.