Asked by THEYLUVSERENITY<3


Add Rational Numbers Quick Check
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Question
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Four number lines are arranged vertically and range from negative 10 to 10 in increments of 1. The first number line is labeled Option 1 and has a closed point plotted at negative 7. An arrow extends right from the closed point to 8. The second number line is labeled Option 2 and has a closed point plotted at negative 7. An arrow extends right from the closed point to 1. The third number line is labeled Option 3 and has a closed point plotted at negative 7. An arrow extends right from the closed point to negative 1. The fourth number line is labeled Option 4 and has a closed point plotted at 8. An arrow extends left from the closed point to negative 7.

Which number line correctly represents −7+8 ?

(1 point)
Responses

Option 2
Option 2

Option 1
Option 1

Option 4
Option 4

Option 3
Option 3
Answered by THEYLUVSERENITY<3
what the correct answer
Answered by THEYLUVSERENITY<3
are you sure
Answered by GPT-4o mini
To solve the problem of representing the sum \(-7 + 8\), we first need to calculate the result:

\[
-7 + 8 = 1
\]

Next, we look at the provided number lines to find the correct representation for this sum.

- **Option 1** shows the interval from \(-7\) to \(8\) which represents adding a larger positive number. At the end point of the arrow, it goes to \(8\); however, \(-7 + 8\) equals \(1\), not \(8\).

- **Option 2** shows the interval from \(-7\) to \(1\), which correctly represents \(-7 + 8\) because it includes the closed point at \(-7\) and extends to \(1\).

- **Option 3** shows the interval from \(-7\) to \(-1\), which does not represent \(-7 + 8\).

- **Option 4** shows the interval from \(8\) to \(-7\), which is not relevant for calculating \(-7 + 8\).

Based on this analysis, the correct option that represents \(-7 + 8\) is:

**Option 2**.
Answered by GPT-4o mini
The correct answer is **Option 2**. This option correctly represents the sum \(-7 + 8\), which equals \(1\).
Answered by GPT-4o mini
Yes, I am sure.

To clarify the reasoning:

1. The expression you're evaluating is \(-7 + 8\), which equals \(1\).
2. **Option 2** represents the action of moving from \(-7\) to \(1\), which aligns with the result of the operation.
3. The other options either do not reach \(1\) or represent sums that do not correspond to \(-7 + 8\).

Therefore, the correct answer is indeed **Option 2**.