Finding the Distance Between Two Points: Using Absolute Value to Calculate Distance

The video tutorial explains how to find the distance between two points on a number line by using the absolute value of their difference. It reviews the concept of subtracting integers by adding the additive inverse and emphasizes the importance of absolute value in ensuring distance is always positive. The tutorial provides examples of calculating distance both with and without a number line, highlighting common mistakes such as forgetting to take the absolute value. The lesson concludes with a summary of the key concepts covered.

What is the first step in finding the distance between two points on a number line?

• Multiply the numbers

• Subtract the numbers directly

• Add the numbers together

• Find the absolute value of their difference

Why is it important to take the absolute value when calculating distance?

• To ensure the result is always positive

• To make the calculation easier

• To avoid using a number line

• To convert the numbers to integers

How do you calculate the distance between positive 4 and negative 3 without a number line?

• Multiply 4 by -3

• Subtract -3 from 4 and take the absolute value

• Add 4 and 3

• Subtract 4 from -3

What is the result of finding the distance between negative 10 and negative 2?

• Zero

• Positive 8

• Negative 8

• Negative 12

What common mistake do students make when calculating distance?

• Forgetting to take the absolute value

• Not using a number line

• Adding the numbers instead of subtracting

• Forgetting to subtract the numbers