Question

Applications of Adding Rational Numbers Quick Check

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Question
Solve the following problem:
It was −8°F this morning, but the temperature has gone up 11° over the course of the day. What is the temperature now?(1 point)
Responses

19°F
19 degrees F

11°F
11 degrees F

3°F
3 degrees F

−3°F explane answer

Answer 1

are you sure

Answer 2

To determine the current temperature after it has increased by 11°F from an initial temperature of -8°F, we can model the situation with a simple addition of rational numbers.

1. Start with the initial temperature: -8°F
2. Add the increase in temperature: +11°F

The mathematical expression we can use is:

\[
-8 + 11
\]

Now, we can break this down:

- The number line helps us understand the operation better. Starting at -8, if we move 11 units to the right (adding a positive number), we essentially want to see how far we go.

- First, we can think of it like this:
- From -8, if we add 8, we reach 0.
- Then, we still have 3 more degrees to go (11 - 8 = 3).

So, moving from 0 to 3 gives us:

\[
0 + 3 = 3
\]

Thus, the final temperature after the increase is:

\[
-8 + 11 = 3°F
\]

So, the correct answer to the problem is:

**3°F**.

Answer 3

Yes, I am sure. Let's break down the calculation once more for clarity:

1. **Starting Temperature:** The initial temperature is **-8°F**.
2. **Increase in Temperature:** The temperature increases by **11°F**.

To find the current temperature, we perform the addition:

\[
-8 + 11
\]

We can visualize this on a number line:

- Starting at **-8°F**, moving to the right indicates an increase in temperature.
- First, we need to reach **0°F** by adding **8°F** to **-8°F**:

\[
-8 + 8 = 0°F
\]

- After reaching **0°F**, we still have **3°F** to add (since we started with an increase of 11°F, and we have used 8°F of that increase):

\[
0 + 3 = 3°F
\]

Putting it all together, the calculation shows that the current temperature is indeed:

\[
-8 + 11 = 3°F
\]

So, the answer **3°F** is correct.