How to Multiply a Negative Number by a Negative Number
Multiplying negative numbers can be a bit confusing at first, but once you understand the rules, it becomes a straightforward process. In this article, we will discuss how to multiply a negative number by a negative number and provide some examples to illustrate the concept.
Understanding the Rules
When multiplying two negative numbers, the result is always positive. This is because multiplying two negative numbers is equivalent to dividing a positive number by a positive number. In other words, the negative signs cancel each other out, leaving a positive result.
Step-by-Step Process
To multiply a negative number by a negative number, follow these steps:
1. Identify the negative numbers you want to multiply.
2. Remove the negative signs from both numbers.
3. Multiply the numbers as if they were positive.
4. Place the negative sign back in front of the product.
Examples
Let’s look at some examples to illustrate the process:
1. (-3) x (-2) = 6
– Remove the negative signs: 3 x 2 = 6
– Place the negative sign back in front: -6 becomes 6
2. (-5) x (-4) = 20
– Remove the negative signs: 5 x 4 = 20
– Place the negative sign back in front: -20 becomes 20
3. (-7) x (-8) = 56
– Remove the negative signs: 7 x 8 = 56
– Place the negative sign back in front: -56 becomes 56
Conclusion
Multiplying a negative number by a negative number is a simple process that follows a straightforward rule. By understanding that the negative signs cancel each other out, you can quickly and easily find the product of two negative numbers. With practice, you’ll be able to multiply negative numbers with confidence and accuracy.
