Understanding Absolute Value Concepts

This video tutorial covers the concept of absolute value, starting with its basic definition as the distance from zero on a number line. It explains the properties of opposites, rules for calculating absolute value, and solving inequalities involving absolute value. The tutorial also addresses trick questions and demonstrates how to find the distance between two points on a number line using absolute value.

What is the absolute value of a number?

• The square of the number

• The negative of the number

• The distance from zero on the number line

• The number itself

If the absolute value of a number is 6, what could the number be?

• Either 6 or -6

• Neither 6 nor -6

• Only 6

• Only -6

What are numbers called that have the same absolute value but are on opposite sides of zero?

• Opposites

• Inverses

• Identicals

• Reflections

What is the result when you add two opposite numbers?

• The sum of their absolute values

• Zero

• A positive number

• A negative number

What is the absolute value of a positive number?

• The square of the number

• Zero

• The negative of the number

• The number itself

What is the absolute value of a negative number?

• Zero

• The negative of the number

• The number itself

• The positive of the number

If the absolute value of x is greater than 5, which of the following could be true?

• x is exactly -5

• x is exactly 5

• x is greater than 5 or less than -5

• x is between -5 and 5

What does it mean if the absolute value of x is greater than a negative number?

• x must be zero

• x must be negative

• x must be positive

• x can be any real number

What is the solution set for the inequality |x| < 2?

• x is less than -2

• x is greater than 2

• x is between -2 and 2

• x is exactly 2

What is the distance between two points on a number line?

• The absolute value of the difference between their coordinates

• The sum of their coordinates

• The average of their coordinates

• The product of their coordinates