Understanding Absolute Values and Number Lines

In this lesson, students learn about identifying opposites and absolute values of rational numbers. The video covers graphing water levels on a number line, finding opposites of rational numbers, and understanding absolute values. Practical exercises are included to reinforce these concepts, with examples from real-world scenarios like stock value changes and sea level measurements.

What is the position of positive rational numbers on a number line?

• Above zero

• At zero

• To the right of zero

• To the left of zero

At what time is the water level closest to sea level?

• 8 PM

• Noon

• 8 AM

• 4 AM

Which point is located between negative three and negative two on the number line?

• Point B

• Point A

• Point C

• Point D

What is the opposite of 7 on a number line?

• 7

• -7

• 14

• 0

How do you find the absolute value of a rational number?

• By doubling the number

• By adding it to zero

• By finding its distance from zero on the number line

• By subtracting it from zero

What is the absolute value of -5.4?

• -5.4

• 5.4

• 0

• 10.8

If a store's balance sheet shows a debt as a negative number, what does a positive number represent?

• A larger debt

• A credit to the customer

• A smaller debt

• No change

Who is closer to the ocean surface: Trina at -85.6 meters or Jesse at 87.9 meters?

• Jesse

• Both are equally close

• Neither

• Trina

What is the distance on the number line between a negative number and its absolute value if the absolute value is 2.78?

• 2.78

• 5.56

• 0

• 1.39

If the Java Trench is 25,344 feet below sea level, what is its elevation in miles?

• Exactly 4 miles

• Exactly 5 miles

• Between 4 and 5 miles

• Between -4 and -5 miles