Distance and Absolute Value Concepts

The video tutorial covers integer addition and subtraction, emphasizing changing subtraction to adding the opposite. It explains how to calculate the distance between numbers on a number line and introduces the concept of using absolute value for distance calculation. The tutorial also discusses vertical distance and change in elevation using a hiking example. Finally, it provides examples of using the distance formula and number line to find distances between numbers.

What is the first step in solving a string of integer addition and subtraction?

• Subtract all negative numbers

• Add all positive numbers together

• Change subtraction to adding the opposite

• Multiply all numbers by two

How do you find the distance between -4 and 5 on a number line?

• Subtract 5 from -4

• Multiply -4 by 5

• Add -4 and 5

• Count the units from -4 to 5

What is the distance between -5 and -3 on a number line?

• 1 unit

• 2 units

• 3 units

• 4 units

What is the formula to find the distance between two rational numbers without a number line?

• Add the two numbers

• Divide the larger number by the smaller number

• Multiply the two numbers

• Take the absolute value of their difference

How do you calculate the distance between -3 and 2 using the formula method?

• Subtract 2 from -3 and take the absolute value

• Multiply -3 by 2

• Add -3 and 2

• Divide -3 by 2

In the hiker example, what is the total vertical distance traveled?

• 580 feet

• 780 feet

• 1000 feet

• 200 feet

What is the change in elevation for the hiker when returning to the starting point?

• 200 feet

• 1000 feet

• 580 feet

• 780 feet

What is the distance between a negative number and a positive number if their distance is 12?

• Negative 6 and positive 6

• Negative 11 and positive 1

• Negative 5 and positive 7

• Negative 8 and positive 3

Which pair of numbers has a distance of 12 between them?

• Negative 10 and positive 2

• Negative 9 and positive 3

• Negative 8 and positive 4

• Negative 7 and positive 5

What is the distance between -7 and -4 using the distance formula?

• 2 units

• 4 units

• 1 unit

• 3 units