To solve the problem [tex]\((-8) \cdot \frac{5}{2}\)[/tex], follow these steps:
1. Identify the numerical values involved: The two numbers we are concerned with are [tex]\(-8\)[/tex] and [tex]\(\frac{5}{2}\)[/tex].
2. Understand the operation: We need to multiply [tex]\(-8\)[/tex] by [tex]\(\frac{5}{2}\)[/tex].
3. Multiply the numbers:
- Start by multiplying the numerator [tex]\(-8\)[/tex] by the numerator [tex]\(5\)[/tex].
- This gives us [tex]\((-8) \cdot 5 = -40\)[/tex].
4. Handle the division:
- Divide [tex]\(-40\)[/tex] by the denominator [tex]\(2\)[/tex].
- [tex]\(-40 \div 2 = -20\)[/tex].
5. Simplify the result: The final result of the multiplication is [tex]\(-20.0\)[/tex].
Hence, [tex]\((-8) \cdot \frac{5}{2} = -20.0\)[/tex].
