To solve the expression [tex]\(6 \times (-3)\)[/tex], follow these steps:
1. Understand the problem: You are required to multiply two numbers: 6 and -3.
2. Identify the numbers:
- The first number is 6 (a positive integer).
- The second number is -3 (a negative integer).
3. Basic multiplication rule: When you multiply a positive number by a negative number, the result is negative.
4. Multiply the absolute values: Ignore the signs initially and multiply the absolute values of the two numbers.
- The absolute value of 6 is 6.
- The absolute value of -3 is 3.
- [tex]\(6 \times 3 = 18\)[/tex].
5. Apply the sign rule: Since a positive times a negative results in a negative, the final answer will be negative.
Therefore, [tex]\(6 \times (-3) = -18\)[/tex].