-times-(-2.5).jpeg "(3-8y) Times (-2.5)")
Multiplying Numbers with Different Signs: A Closer Look
When multiplying a number between 3 and 8 (inclusive) by -2.5, we are essentially combining two operations:
- Multiplication: The basic process of repeated addition.
- Sign Rule: The rule for determining the sign of the product.
The Sign Rule
The sign rule for multiplication states:
- Positive x Positive = Positive
- Negative x Negative = Positive
- Positive x Negative = Negative
- Negative x Positive = Negative
Since we are multiplying a positive number (between 3 and 8) by a negative number (-2.5), the product will always be negative.
Calculating the Product
To find the exact product, we need to perform the multiplication:
- Example 1: 3 x -2.5 = -7.5
- Example 2: 5 x -2.5 = -12.5
- Example 3: 8 x -2.5 = -20
Conclusion
Therefore, multiplying any number between 3 and 8 by -2.5 will always result in a negative product. The exact value of the product will depend on the specific number being multiplied.