Understanding Absolute Value and Negative Numbers on a Number Line

This lesson explains the concept of absolute value using a number line. It highlights that as the value of a negative number decreases, its absolute value increases. The lesson addresses common misconceptions, such as confusing the size of negative numbers with their absolute values. Examples using money and a submarine illustrate how moving further from zero increases absolute value. A temperature comparison between New York and Chicago demonstrates how absolute value helps determine which city is colder. The lesson concludes by reinforcing the understanding of absolute value and its practical applications.

What is the absolute value of a number?

• The negative of the number

• The distance from zero

• The square of the number

• The number itself

If a number is -6, what is its absolute value?

• 6

• -6

• 0

• 12

On a number line, moving left from zero represents:

• Decreasing debt

• Increasing debt

• Decreasing wealth

• Increasing wealth

As a submarine moves deeper below sea level, what happens to its absolute value?

• It remains the same

• It decreases

• It becomes zero

• It increases

If New York is -15 degrees and Chicago is -10 degrees, which city is colder?

• New York

• Cannot be determined

• Chicago

• Both are equally cold