-(-25).jpeg "(-2) (-25)")
Multiplying Negative Numbers: A Simple Explanation
When multiplying two negative numbers, the product is always positive. Let's break down why this is the case using the example of (-2) (-25):
Understanding Multiplication
Multiplication can be thought of as repeated addition. For example, 3 x 4 means adding 3 to itself four times (3 + 3 + 3 + 3).
The Role of Negative Signs
A negative sign indicates the opposite of a number. So, -2 is the opposite of 2. Multiplying by a negative sign is like flipping the number on a number line.
Applying the Concepts
- (-2) (-25) can be interpreted as adding -2 to itself 25 times.
- Since we are adding a negative number repeatedly, we move further to the left on the number line.
- However, because we are multiplying by another negative number, we are essentially flipping the direction. This means we are moving to the right, resulting in a positive product.
The Result
Therefore, (-2) (-25) = 50.
Conclusion
Remember, when multiplying two negative numbers, the result will always be positive. This concept applies to any pair of negative numbers. Understanding the role of negative signs and their effect on multiplication helps clarify why this rule holds true.