A meteorologist used the expression below to describe how the temperature changed:

[tex]\[ -5 + (-4) \][/tex]

Which statement could describe how the temperature changed?

A. The temperature was -5 degrees, then it increased 4 degrees.
B. The temperature was -5 degrees, then it decreased 4 degrees.
C. The temperature was 5 degrees, then it increased 4 degrees.
D. The temperature was 5 degrees, then it decreased 4 degrees.



Answer :

Certainly! Let's work through the expression step-by-step:

1. We start with an initial temperature of [tex]\(-5\)[/tex] degrees.
2. The expression indicates that there is a change of [tex]\(-4\)[/tex] degrees. Since this change is negative, it signifies a decrease.

So, the question can be analyzed as follows:
- Begin with [tex]\(-5\)[/tex] degrees.
- Decrease the temperature by [tex]\(-4\)[/tex] degrees. Mathematically, this is represented as [tex]\(-5 + (-4)\)[/tex].

If we perform the addition:
[tex]\[ -5 + (-4) = -5 - 4 = -9 \][/tex]

This means the initial temperature was [tex]\(-5\)[/tex] degrees, and it decreased by 4 degrees, leading to a new temperature of [tex]\(-9\)[/tex] degrees.

Given the options:
- The temperature was -5 degrees, then it increased 4 degrees.
- The temperature was -5 degrees, then it decreased 4 degrees.
- The temperature was 5 degrees, then it increased 4 degrees.
- The temperature was 5 degrees, then it decreased 4 degrees.

The correct statement that describes how the temperature changed is:
- The temperature was [tex]\(-5\)[/tex] degrees, then it decreased 4 degrees.

Therefore, the right explanation is:
"The temperature was -5 degrees, then it decreased 4 degrees."