Mastering the Division of Negative Numbers- A Comprehensive Guide to Negative by Negative
How to Divide a Negative Number by a Negative Number
Dividing a negative number by a negative number might seem like a tricky concept at first, but it’s actually quite straightforward. The process involves understanding the rules of negative numbers and applying them correctly. In this article, we will explore how to divide a negative number by a negative number and provide you with a step-by-step guide to ensure you get the correct answer every time.
Firstly, it’s essential to remember that two negative numbers multiplied or divided will always result in a positive number. This rule is the foundation for dividing negative numbers. When you divide a negative number by a negative number, you are essentially finding the quotient of two negative numbers, which will be positive.
Let’s take an example to illustrate this concept. Suppose we want to divide -12 by -4. According to the rule mentioned earlier, when dividing two negative numbers, the result will be positive. So, the quotient of -12 divided by -4 is:
-12 ÷ -4 = 3
In this example, we have a negative numerator (-12) and a negative denominator (-4). When we divide them, the result is a positive number (3).
To divide a negative number by a negative number, follow these steps:
1. Identify the negative signs in the numerator and denominator.
2. Remove the negative signs.
3. Divide the absolute values of the numerator and denominator.
4. Place the negative sign back in the result if both the numerator and denominator were negative.
Let’s apply these steps to another example:
Example: Divide -20 by -5.
1. Identify the negative signs: -20 and -5.
2. Remove the negative signs: 20 and 5.
3. Divide the absolute values: 20 ÷ 5 = 4.
4. Place the negative sign back in the result: -(-4) = 4.
In this case, the quotient of -20 divided by -5 is 4.
In conclusion, dividing a negative number by a negative number is a simple process that involves understanding the rules of negative numbers and applying them correctly. By following the steps outlined in this article, you’ll be able to divide negative numbers with confidence and accuracy.
