Question

Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses

−13.7
negative 13.7

13.7
13.7

−0.7
negative 0.7

0.7

Answer 1

To determine the distance between two numbers on a number line, you can use the formula for distance:

\[
\text{Distance} = |a - b|
\]

where \(a\) and \(b\) are the two numbers. In this case, \(a = 6.5\) and \(b = -7.2\).

Now, let's calculate it:

\[
\text{Distance} = |6.5 - (-7.2)| = |6.5 + 7.2| = |6.5 + 7.2|
\]

Now we add the numbers:

\[
6.5 + 7.2 = 13.7
\]

Thus, the distance between 6.5 and -7.2 is:

\[
|6.5 - (-7.2)| = |13.7| = 13.7
\]

Therefore, the correct response is:

**13.7**