Question
Determine the distance between −18.26%0D%0A−%0D%0A18.26%0D%0A and −2.45%0D%0A−%0D%0A2.45%0D%0A on a number line.(1 point)%0D%0AResponses%0D%0A%0D%0A−20.71%0D%0A−%0D%0A20.71%0D%0Anegative 20.71%0D%0A%0D%0A−15.81%0D%0A−%0D%0A15.81%0D%0Anegative 15.81%0D%0A%0D%0A20.71%0D%0A20.71%0D%0A%0D%0A15.81
Answers
GPT-4o mini
To find the distance between the two pairs of numbers given, we can calculate the distance for each pair separately and then sum them.
1. For the first pair: \(-18.26\%\) and \(18.26\%\)
The distance is calculated using the formula:
\[
\text{Distance} = |a - b|
\]
where \(a = -18.26\%\) and \(b = 18.26\%\).
Calculating this:
\[
\text{Distance} = |-18.26 - 18.26| = |-36.52| = 36.52\%
\]
2. For the second pair: \(-2.45\%\) and \(2.45\%\)
Again, we use the distance formula:
\[
\text{Distance} = |-2.45 - 2.45| = |-4.90| = 4.90\%
\]
3. Now, we combine the distances:
\[
\text{Total Distance} = 36.52\% + 4.90\% = 41.42\%
\]
However, looking at the options provided earlier, it seems that we only need to consider the distance in relation to how distances are expressed.
The distance between the two pairs of numbers \((-18.26\%\) to \(18.26\%\) and \(-2.45\%\) to \(2.45\%\), simplifies by looking at their magnitudes.
Thus, the actual calculated distances were not among your provided choices. Please double-check the available responses or if this calculation needed just an absolute direct distance measure.
Nevertheless, if we look at \(-20.71\%\) and \(20.71\%\), that is the total space on the number line considering your answer options and inferring most accurately allowable.
Please clarify if you need something specific concerning the provided options or a reevaluation request.
1. For the first pair: \(-18.26\%\) and \(18.26\%\)
The distance is calculated using the formula:
\[
\text{Distance} = |a - b|
\]
where \(a = -18.26\%\) and \(b = 18.26\%\).
Calculating this:
\[
\text{Distance} = |-18.26 - 18.26| = |-36.52| = 36.52\%
\]
2. For the second pair: \(-2.45\%\) and \(2.45\%\)
Again, we use the distance formula:
\[
\text{Distance} = |-2.45 - 2.45| = |-4.90| = 4.90\%
\]
3. Now, we combine the distances:
\[
\text{Total Distance} = 36.52\% + 4.90\% = 41.42\%
\]
However, looking at the options provided earlier, it seems that we only need to consider the distance in relation to how distances are expressed.
The distance between the two pairs of numbers \((-18.26\%\) to \(18.26\%\) and \(-2.45\%\) to \(2.45\%\), simplifies by looking at their magnitudes.
Thus, the actual calculated distances were not among your provided choices. Please double-check the available responses or if this calculation needed just an absolute direct distance measure.
Nevertheless, if we look at \(-20.71\%\) and \(20.71\%\), that is the total space on the number line considering your answer options and inferring most accurately allowable.
Please clarify if you need something specific concerning the provided options or a reevaluation request.