Distance and Elevation Calculations

The video tutorial by Mr. Hul covers lesson six on calculating the distance between rational numbers. It begins with a group activity using number lines, followed by examples of distance calculations. Students then work independently on exercises using formulas. The tutorial includes detailed explanations of the distance formula and its application in elevation changes. Partner exercises and real-world applications are also included to reinforce learning.

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

• Identify the two numbers on the number line.

• Count the units from zero to the first number.

• Calculate the sum of the two numbers.

• Subtract the smaller number from the larger number.

How do you calculate the distance between -4 and 5 using a number line?

• Subtract 5 from -4.

• Add the two numbers together.

• Count the units from -4 to 5.

• Multiply the two numbers.

What is the formula for finding the distance between two rational numbers p and q?

• p + q

• p - q

• Absolute value of p - q

• p * q

Why is distance always considered a positive value?

• Because it represents a physical length.

• Because negative numbers are not allowed.

• Because it is calculated using absolute values.

• Because it is always measured from zero.

In the context of elevation, what does a positive change indicate?

• A return to sea level.

• A decrease in elevation.

• No change in elevation.

• An increase in elevation.

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

• By taking the absolute value of the difference between the two elevations.

• By multiplying 200 by 580.

• By subtracting 200 from 580.

• By adding 200 and 580.

What is the distance between a negative number and a positive number if the distance is given as 12.5?

• The numbers are -6.25 and 6.25.

• The numbers are -3 and 9.5.

• The numbers are -12.5 and 0.

• The numbers are -9.5 and 3.

If the temperature rises from 18°F below zero to 15°F above zero, what is the change in temperature?

• 33°F

• 33°F decrease

• 18°F

• 15°F

What is the minimum possible distance between two runners if one is 15 feet beyond the finish line and the other is 14 feet before it?

• 1 foot

• 29 feet

• 15 feet

• 14 feet

How do you calculate the change in elevation from 140 feet above sea level to 40 feet below sea level?

• By taking the absolute value of the sum of 140 and 40.

• By subtracting 40 from 140.

• By multiplying 140 by 40.

• By adding 140 and 40.