Add Rational Numbers Quick Check

Question

3 of 53 of 5 Items
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

Answer 1

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.

Answer 2

what the correct answer

Answer 3

The correct answer is Option 2. This option correctly represents the sum \(-7 + 8\), which equals \(1\).

Answer 4

are you sure

Answer 5

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.