-times-(-3).jpeg "(-3) Times (-3)")
Multiplying Negative Numbers: (-3) times (-3)
In mathematics, multiplying negative numbers can seem confusing at first. But, with a little understanding, it becomes quite straightforward. Let's delve into why (-3) times (-3) equals 9.
Understanding the Rules
The fundamental rule for multiplying signed numbers is:
- Same Signs: When multiplying two numbers with the same sign (both positive or both negative), the product is always positive.
- Different Signs: When multiplying two numbers with different signs (one positive and one negative), the product is always negative.
Applying the Rule to (-3) times (-3)
In the case of (-3) times (-3), we have two negative numbers. Since they have the same sign, the product will be positive.
Now, we simply multiply the absolute values of the numbers: 3 times 3 equals 9.
Therefore, (-3) times (-3) equals 9.
Visualizing the Concept
Think of a number line. If you move 3 units to the left (negative direction) three times, you end up at 9. This visual representation reinforces the idea that multiplying two negative numbers results in a positive number.
Importance of Understanding
The concept of multiplying negative numbers is crucial in various mathematical fields, including algebra, calculus, and physics. Understanding the rules ensures accurate calculations and problem-solving.