Find the distance on a number line between 16 and 104.
Answer (1)
The problem asks to find the distance between two points on a number line.
The distance is calculated as the absolute value of the difference between the coordinates of the two points.
Calculate the difference: 104 − 16 = 88 .
The distance between 16 and 104 is 88 .
Explanation
Understanding the Problem We are asked to find the distance between two points, 16 and 104, on a number line. The distance between two points on a number line is the absolute value of the difference of their coordinates.
Setting up the Calculation Let x 1 = 16 and x 2 = 104 . The distance d between these two points is given by the formula: d = ∣ x 2 − x 1 ∣
Substitution Substitute the given values into the formula: d = ∣104 − 16∣
Calculating the Difference Calculate the difference: 104 − 16 = 88
Finding the Absolute Value Take the absolute value: d = ∣88∣ = 88
Final Answer Therefore, the distance between 16 and 104 on the number line is 88.
Examples
Imagine you're planning a road trip and want to know the distance between two cities located along a straight highway. If one city is at the 16-mile marker and the other is at the 104-mile marker, finding the distance between them is the same as finding the distance on a number line. This helps you estimate travel time and fuel costs, making your trip planning more accurate and efficient. The calculation is straightforward: 104 − 16 = 88 miles.
