• Categorize real numbers as counting numbers, whole numbers, rational numbers, irrational numbers, or integers
• Recognize and use the properties of real numbers
• Simplify and evaluate an algebraic equation

Real Numbers: The Game Developer’s Toolkit

 

Jordan, a game developer, is creating a new mobile game that involves building and managing a virtual city. The game uses real numbers in various ways, from population counts to resource management. Jordan needs your help to categorize numbers and apply the properties of real numbers to ensure the game mechanics are accurate and educational.

Jordan presents you with a list of numbers that will appear in the game. Your task is to categorize each number as counting (natural), whole, rational, irrational, or integer.

Jordan asks you to demonstrate a puzzle where players must identify the commutative property with addition and multiplication.

In this scenario, Jordan wants to ensure that players have a solid understanding of how real numbers are applied within the game. This includes tasks like managing population growth, tracking energy usage, and resource allocation in a way that feels realistic and logical to the player. Help Jordan by solving the following problems.