Sure, let's go through the steps to solve the multiplication:
1. Identify the numbers involved: We have [tex]\(6\)[/tex] and [tex]\(-9\)[/tex].
2. Understand the signs:
- [tex]\(6\)[/tex] is a positive number.
- [tex]\(-9\)[/tex] is a negative number.
3. Perform the multiplication:
- When you multiply a positive number by a negative number, the result is always negative.
- Multiply the absolute values of the numbers: [tex]\(6\)[/tex] and [tex]\(9\)[/tex].
[tex]\[
6 \times 9 = 54
\][/tex]
4. Apply the negative sign:
- Since one of the original numbers was negative, our resulting product becomes negative.
Therefore,
[tex]\[
6 \cdot -9 = -54
\][/tex]