College

Simplify the following expression:

[tex]-13 \times 12[/tex]

A. -25
B. 156
C. -156
D. -169

Answer :

To simplify the expression [tex]\(-13 \times 12\)[/tex], follow these steps:

1. Recognize the Multiplication: We have a multiplication problem involving a negative number and a positive number: [tex]\(-13\)[/tex] and [tex]\(12\)[/tex].

2. Multiply the Absolute Values:
- First, ignore the negative sign and multiply the absolute values of the numbers.
- Multiply [tex]\(13\)[/tex] by [tex]\(12\)[/tex]:
[tex]\(13 \times 12 = 156\)[/tex].

3. Apply the Sign Rule:
- Remember that a negative times a positive gives a negative result.
- Since [tex]\(-13\)[/tex] is negative and [tex]\(12\)[/tex] is positive, the result is negative.

4. Write the Final Result:
- Combine the numerical result with the sign: [tex]\(-156\)[/tex].

So, the simplified expression is [tex]\(-156\)[/tex].

The correct answer is C. -156.