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

1 answer

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.