Understanding Absolute Value Concepts

The video tutorial explores the concept of absolute value, particularly in the context of elevation. It begins with an introduction to absolute value and its application in real-world scenarios like elevation. The tutorial then moves on to plotting rational numbers and their opposites on a number line. It further delves into comparing elevations using absolute values, with examples involving a submarine and various people's elevations. The video concludes with a discussion on inequalities and absolute values, emphasizing the importance of understanding these concepts in mathematical comparisons.

What is the absolute value of a number?

• The number itself

• The reciprocal of the number

• The negative of the number

• The distance from zero

If 'a' is a rational number, what is the opposite of 'a' on a number line?

• a

• -a

• 0

• 1/a

Noah claims that the opposite of any rational number is always negative. Is this true?

• No, it depends on the number

• Yes, always

• Yes, if the number is positive

• No, if the number is zero

What is the absolute value of the submarine's elevation at -100 feet?

• 200

• 100

• 0

• -100

Claire's elevation is greater than the submarine's. Which of the following could be her elevation?

• -50

• 50

• -150

• 150

If Han's elevation is closer to sea level than the submarine's, which of the following could be true?

• Han is at -150 feet

• Han is at -50 feet

• Han is at -200 feet

• Han is at 200 feet

What is the absolute value of -7/10?

• 7/10

• -7/10

• 1

• 0

Which of the following is true about the absolute value of a negative number?

• It is undefined

• It is always negative

• It is zero

• It is always positive

How does the absolute value of a number relate to its position on a number line?

• It is the distance from zero

• It is the reciprocal of the number

• It is the number itself

• It is the opposite of the number

If the absolute value of a number is 8, what could the number be?

• Both 8 and -8

• 0

• -8

• 8