Let's evaluate each of the given expressions step-by-step to determine which one results in a negative number.
1. [tex]\(-120 \div 10\)[/tex]:
- This expression involves dividing [tex]\(-120\)[/tex] by [tex]\(10\)[/tex].
- A negative number divided by a positive number results in a negative number.
- Therefore, the result is [tex]\(-12.0\)[/tex], which is negative.
2. [tex]\(-120 \div -60\)[/tex]:
- This expression involves dividing [tex]\(-120\)[/tex] by [tex]\(-60\)[/tex].
- A negative number divided by another negative number results in a positive number.
- Therefore, the result is [tex]\(2.0\)[/tex], which is positive.
3. [tex]\(-120 \div -30\)[/tex]:
- This expression involves dividing [tex]\(-120\)[/tex] by [tex]\(-30\)[/tex].
- A negative number divided by another negative number results in a positive number.
- Therefore, the result is [tex]\(4.0\)[/tex], which is positive.
4. [tex]\(120 \div 6\)[/tex]:
- This expression involves dividing [tex]\(120\)[/tex] by [tex]\(6\)[/tex].
- A positive number divided by another positive number results in a positive number.
- Therefore, the result is [tex]\(20.0\)[/tex], which is positive.
Comparing the results of the evaluations, it is clear that the only expression that results in a negative number is:
[tex]\[
-120 \div 10 = -12.0
\][/tex]
Thus, the expression [tex]\(-120 \div 10\)[/tex] is the one that results in a negative number.
