Answer :
To find the distance between -131 and -87 on a number line, you can follow these steps:
1. Identify the Positions: First, note the two positions on the number line, which are -131 and -87.
2. Calculate the Difference: Find the difference between the numbers by subtracting one from the other. You want to find the absolute difference, which is the positive distance between the two points.
- If we consider the two points as [tex]\(a = -131\)[/tex] and [tex]\(b = -87\)[/tex], then the distance is given by the formula:
[tex]\[
\text{Distance} = |b - a|
\][/tex]
3. Compute the Distance: Substitute the values:
[tex]\[
|b - a| = |-87 - (-131)|
\][/tex]
[tex]\[
= |-87 + 131|
\][/tex]
[tex]\[
= |44|
\][/tex]
[tex]\[
= 44
\][/tex]
So, the distance between -131 and -87 on the number line is [tex]\(44\)[/tex]. The correct answer is [tex]\(44\)[/tex].
1. Identify the Positions: First, note the two positions on the number line, which are -131 and -87.
2. Calculate the Difference: Find the difference between the numbers by subtracting one from the other. You want to find the absolute difference, which is the positive distance between the two points.
- If we consider the two points as [tex]\(a = -131\)[/tex] and [tex]\(b = -87\)[/tex], then the distance is given by the formula:
[tex]\[
\text{Distance} = |b - a|
\][/tex]
3. Compute the Distance: Substitute the values:
[tex]\[
|b - a| = |-87 - (-131)|
\][/tex]
[tex]\[
= |-87 + 131|
\][/tex]
[tex]\[
= |44|
\][/tex]
[tex]\[
= 44
\][/tex]
So, the distance between -131 and -87 on the number line is [tex]\(44\)[/tex]. The correct answer is [tex]\(44\)[/tex].
