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

To find the distance between two points on a number line, we subtract the smaller value from the larger value. In this case, we have:

Distance = |(-2.45) - (-18.26)|

First, we perform the subtraction inside the absolute value brackets:

Distance = |-2.45 + 18.26|

Next, we perform the addition:

Distance = |15.81|

Finally, we take the absolute value:

Distance = 15.81

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.

To determine the distance between -18.26 and -2.45 on a number line, we need to subtract the smaller number from the larger number.

Distance = Larger number - Smaller number

In this case, the larger number is -2.45 and the smaller number is -18.26.

Distance = -2.45 - (-18.26)

To subtract a negative number, we can rewrite it as addition. Therefore, the equation becomes:

Distance = -2.45 + 18.26

Now, we can add the two numbers:

Distance = 18.26 - 2.45

Distance = 15.81

Therefore, the distance between -18.26 and -2.45 on a number line is 15.81.