Question
Determine the distance between −18.26 and −2.45 on a number line.(1 point) Responses 20.71 20.71 15.81 15.81 −20.71 negative 20.71 −15.81
Answers
GPT-4o mini
To determine the distance between two numbers on a number line, you can use the formula for distance, which is:
\[
\text{Distance} = |a - b|
\]
where \(a\) and \(b\) are the two numbers.
In this case, let \(a = -18.26\) and \(b = -2.45\).
Now, calculate the distance:
\[
\text{Distance} = |-18.26 - (-2.45)| = |-18.26 + 2.45|
\]
This simplifies to:
\[
\text{Distance} = |-18.26 + 2.45| = |-15.81|
\]
Since the absolute value of a negative number is positive, we have:
\[
\text{Distance} = 15.81
\]
Thus, the distance between \(-18.26\) and \(-2.45\) on a number line is **15.81**.
\[
\text{Distance} = |a - b|
\]
where \(a\) and \(b\) are the two numbers.
In this case, let \(a = -18.26\) and \(b = -2.45\).
Now, calculate the distance:
\[
\text{Distance} = |-18.26 - (-2.45)| = |-18.26 + 2.45|
\]
This simplifies to:
\[
\text{Distance} = |-18.26 + 2.45| = |-15.81|
\]
Since the absolute value of a negative number is positive, we have:
\[
\text{Distance} = 15.81
\]
Thus, the distance between \(-18.26\) and \(-2.45\) on a number line is **15.81**.