Question

Determine the distance between 6.5 and - 7.2 on a number line.
O 0.7
O -13.7
O -0.7
O -13.7

Answer 1

To find 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, let \( a = 6.5 \) and \( b = -7.2 \).

Now, calculate the distance:

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

This simplifies to:

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

Now, sum \( 6.5 + 7.2 \):

\[
6.5 + 7.2 = 13.7
\]

So,

\[
\text{Distance} = |13.7| = 13.7
\]

Therefore, the distance between 6.5 and -7.2 on a number line is **13.7**.

None of the provided options appear to match this calculation, as there seems to be a repetition of -13.7 and -0.7 among the choices given. Make sure to verify the options or calculate the distance denomination accurately.