Understanding Absolute Values and Number Lines

The lesson covers identifying opposites and absolute values of rational numbers. It begins with an introduction to the concepts, followed by graphing exercises using water levels to illustrate rational numbers. The lesson then analyzes graph points to find distances and opposites, and explains how to find opposites on a number line. A stock exchange example is used to further understand rational numbers and opposites. Finally, the lesson explains absolute values of rational numbers with examples, emphasizing their distance from zero on a number line.

What is the elevation at sea level?

• 1 meter

• 0 meters

• 5 meters

• 10 meters

At what time was the water level at its highest?

• 4 p.m.

• Noon

• 8 a.m.

• 4 a.m.

Which point on the number line is closest to sea level?

• Point D

• Point C

• Point B

• Point A

What is the opposite of -3.5 on a number line?

• 3.5

• -3.5

• 7

• 0

How was the New York Stock Exchange price represented before June 1997?

• In tenths

• In halves

• In eighths

• In quarters

What is the absolute value of -5.4?

• 5.4

• -5.4

• 0

• 10.8

In which year was the average low temperature in January -3.2?

• 2009

• 2011

• 2008

• 2010

What is the absolute value of 1.5?

• 1.5

• 3

• 0

• -1.5

How far is -3.25 from zero on a number line?

• 0

• 6.5

• -3.25

• 3.25

What is the absolute value of -4?

• -4

• 0

• 4

• 8