Find the distance between 9 and 11 on a number line.
Answer (2)
The problem asks to find the distance between 9 and 11 on a number line.
The distance is calculated as the absolute value of the difference between the two numbers.
Calculate the difference: 11 − 9 = 2 .
Take the absolute value: ∣2∣ = 2 . The distance between 9 and 11 is 2 .
Explanation
Understanding the Problem We are asked to find the distance between two points, 9 and 11, on a number line. The distance between two points on a number line is the absolute value of their difference.
Setting up the Calculation To find the distance, we subtract the two numbers and take the absolute value of the result. This ensures that the distance is always positive.
Calculating the Distance The distance d between 9 and 11 is given by: d = ∣11 − 9∣
Performing Subtraction Now, we perform the subtraction: 11 − 9 = 2
Taking the Absolute Value Finally, we take the absolute value: ∣2∣ = 2
Final Answer Therefore, the distance between 9 and 11 on a number line is 2.
Examples
Imagine you're walking from the 9th mile marker to the 11th mile marker on a trail. The distance you've walked is the difference between these two positions. This simple subtraction gives you the distance, which is 2 miles. Understanding distances on a number line is fundamental in many real-world scenarios, such as measuring lengths, calculating travel distances, or even understanding financial gains and losses.
The distance between 9 and 11 on a number line is 2 units, calculated by taking the absolute value of the difference between the two numbers. The steps include subtracting 9 from 11 and ensuring the result is positive. Therefore, the answer is simply 2.
;
