Determine the distance between −18.26 and −2.45 on a number line.

A. -20.17
B. 20.71
C. 15.81
D. -5.21

1 answer

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

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

where \( a \) and \( b \) are the two numbers.

In this case, let \( a = -18.26 \) and \( b = -2.45 \). Thus, we can calculate:

\[ \text{Distance} = |-18.26 - (-2.45)| \]

This simplifies to:

\[ \text{Distance} = |-18.26 + 2.45| = |-18.26 + 2.45| = |-15.81| \]

Since the absolute value of \(-15.81\) is \(15.81\):

\[ \text{Distance} = 15.81 \]

Thus, the distance between \(-18.26\) and \(-2.45\) on a number line is:

\(\boxed{15.81}\)

Therefore, the answer is C. 15.81.