Real World Absolute Values

Real World Absolute Values

Calculating distance in the real world

What animal is the farthest from sea level?

(What animal has the greatest absolute value?)

Multiple Choice

What animal is the farthest from sea level?

• seagull

• shark

• shrimp

• turtle

Poll

Which animal do you think is closer to sea level?

(Think about your reasoning, and be ready to share your thoughts!)

• Sea lion

• Shark

Example 2: Draw a diagram.

A fish is 4 feet below sea level and a submarine is 11 feet below sea level.

• What is the total distance between the fish and submarine?
  

• What is an equation, using absolute values that could calculate the distance between the two?
  

Multiple Choice

What is the total distance between the fish (4 feet below) and submarine(11 feet below)?

• 15 feet

• -15 feet

• -7 feet

• 7 feet

What is the distance between the fish and sub?

7 feet

Multiple Choice

Which equation would find the distance between the fish(4 feet below) and submarine (11 feet below) using absolute values to calculate distance?

• | -11 | - | -4 | = 7

• | 11 | - | 4 | = 7

• | -11 | + | -4 | = 15

• | 11 | + | 4 | = 15

Example 3:

You go to a store in the mall that is on the fourth floor above the main level.  Your friend goes to a store that is 2 floors below the main level.

 What integers represent you and your friend's locations in the mall?

You: floor 4
Your friend: floor -2

Absolute Values

| 4 | = 4

| -2 | = 2

Multiple Choice

What is the distance between you(4 floors up) and your friend (2 floors down) at the mall?

• | 4 | + | -2 | = 6 floors

• | 4 | + | -2 | = 2 floors

• | 4 | + | -2 | + 1 = 7 floors

• | 4 | - | -2 | = 2 floors

Example 4:

The highest elevation in N. America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the total distance from the top of Mt. McKinley to the bottom of Death Valley?

Draw a diagram. Use absolute value to determine the total distance.

 | 20,320 | + | -282 | = 20,320 + 282 = 20,602 feet

Multiple Choice

What is the total distance from the top of Mt. McKinley( 20,320ft) to the bottom of Death Valley (-282 ft)?

• 20,038 feet

• -20,602 feet

• 20,602 feet

• -20,038 feet

Example 5:

Eva sees a dolphin 3.2 meters below sea level and a bird 4.7 feet above sea level. What is the total vertical distance between the dolphin and the bird?

Draw a diagram.  Use absolute value to determine the total distance.

Comparing Absolute Values
Examples:
| -7 | > | 6 |

| 10 | < | -15 |

| -2.4 | > | -2.35 |

Calculate the absolute value before comparing.

Multiple Choice

Compare:

| -34 | _____ | 26 |

• >

• <

• =

Multiple Choice

Compare:

| -109 | _____ | -110 |

• <

• >

• =

Multiple Choice

Compare:

| 93 | _____ | 87 |

• <

• >

• =

Multiple Choice

Compare:

| -7.7 | _____ | 7.7|

• <

• >

• =

Multiple Choice

Which of the following is in order from least to greatest?

• |-4 |, | 6 |, | -1 |, | 38 |

• |8.9 |, | -9 |, | -11 |, | -23 |

• | 9 |, | -19 |, | -21 |, | -20 |

• | -0.5 |, | -0.25 |, | -0.111 |