(-9).jpeg "(-7)(-9)")
Multiplying Negative Numbers: A Deep Dive into (-7)(-9)
When it comes to mathematics, multiplying negative numbers can sometimes seem confusing. However, there's a simple logic behind it. Let's explore the concept of multiplying (-7)(-9) and understand why the product is positive.
The Rules of Multiplication with Negatives
The key to understanding this lies in the basic rules of multiplication with negative numbers:
- Negative x Positive = Negative
- Positive x Negative = Negative
- Negative x Negative = Positive
These rules help us understand the sign of the final product.
Applying the Rules to (-7)(-9)
In our case, (-7) and (-9) are both negative numbers. According to the third rule, multiplying two negative numbers results in a positive number.
Therefore, (-7)(-9) = 63.
Visualizing the Concept
Imagine a number line. Multiplying a number by a negative value is like reflecting that number across zero. So, multiplying (-7) by (-9) is like reflecting (-7) nine times, each reflection moving the number further to the positive side.
Conclusion
Understanding the rules of multiplying negative numbers is crucial for accurate calculations. Remember, multiplying two negative numbers always results in a positive product. This principle applies not only to (-7)(-9) but to all scenarios involving multiplying two negative numbers.