Distance Between Rational Numbers

Mr. Holly introduces lesson six, focusing on the distance between two rational numbers. The lesson covers exercises on calculating distances on a number line and introduces a formula using absolute values to find the distance between any two numbers. A real-world example involving elevation changes is used to illustrate the concept further.

What is the primary goal of the lesson on the distance between two rational numbers?

• To memorize the number line

• To find a formula for calculating distance

• To practice addition and subtraction

• To learn about negative numbers

In the context of this lesson, what remains constant regardless of the order of two numbers?

• The sum of the numbers

• The difference between the numbers

• The product of the numbers

• The distance between the numbers

Which mathematical concept is used to calculate the distance between two numbers?

• Exponentiation

• Factorial

• Square root

• Absolute value

How is the distance between two numbers defined in this lesson?

• The absolute value of their difference

• The sum of the numbers

• The product of the numbers

• The average of the numbers

In the real-world example, what is the distance between 200 feet below sea level and 580 feet above sea level?

• 380 feet

• 580 feet

• 200 feet

• 780 feet

What is the significance of the distance being always positive?

• It indicates the direction of movement

• It is used to calculate speed

• It shows the total change in position

• It represents the sum of two numbers

What is the change in elevation when a hiker moves from 580 feet above sea level to 200 feet below sea level?

• A negative change of 380 feet

• A negative change of 780 feet

• A positive change of 780 feet

• A positive change of 380 feet

How is the concept of change in elevation related to the distance formula?

• It uses the average of elevations

• It uses the product of elevations

• It uses the absolute value of the difference in elevations

• It uses the sum of elevations

What does a negative change in elevation indicate?

• An increase in height

• A constant height

• A decrease in height

• No change in height

Why is it important to understand the concept of distance in real-world scenarios?

• To calculate speed

• To understand changes in position

• To measure time

• To determine weight