Applications of Adding Rational Numbers Quick Check

Question

3 of 53 of 5 Items
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

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 2

are you sure

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.