Understanding Distance and Absolute Value

The video tutorial covers integer addition and subtraction, focusing on changing subtraction to adding the opposite. It explains how to calculate the distance between numbers on a number line and introduces the distance formula for rational numbers. A real-world problem involving elevation change is solved, and the concept of distance between negative and positive numbers is explored.

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

• Divide all numbers

• Multiply all numbers

• Change subtraction to addition of the opposite

• Add all numbers together

When grouping numbers, what should you do after changing subtraction to addition?

• Add all positive numbers together

• Add all negative numbers together

• Subtract all numbers

• Add all numbers together

What is the distance between -4 and 5 on a number line?

• 8 units

• 7 units

• 9 units

• 10 units

How many units apart are -5 and -3?

• 3 units

• 2 units

• 4 units

• 1 unit

What is the distance between 7 and -1?

• 8 units

• 7 units

• 6 units

• 9 units

What formula can be used to find the distance between two rational numbers?

• Difference of their squares

• Absolute value of their difference

• Product of the numbers

• Sum of the numbers

What is the absolute value of the difference between -3 and 2?

• 6

• 4

• 5

• 3

Why is distance always considered positive?

• Because it represents a physical space

• Because it is a mathematical rule

• Because it is easier to calculate

• Because it is a convention

What is the vertical distance between 200 feet below sea level and 580 feet above sea level?

• 880 feet

• 780 feet

• 980 feet

• 680 feet

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

• -8 and 4

• -9 and 3

• -10 and 2

• -11 and 1