{"id":8125,"date":"2023-09-20T17:48:17","date_gmt":"2023-09-20T17:48:17","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=8125"},"modified":"2025-08-28T04:06:43","modified_gmt":"2025-08-28T04:06:43","slug":"real-numbers-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/real-numbers-apply-it-1\/","title":{"raw":"Real Numbers: Apply It 1","rendered":"Real Numbers: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Categorize real numbers into counting, whole, rational, irrational, or integers<\/li>\r\n\t<li>Recognize and use the properties of real numbers<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Real Numbers: The Game Developer's Toolkit<\/h2>\r\n<center>\r\n[caption id=\"attachment_10412\" align=\"aligncenter\" width=\"333\"]<img class=\"wp-image-10412\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1.jpg\" alt=\"A person working on code on a laptop and a desktop.\" width=\"333\" height=\"500\" \/> Figure 1. Help Jordan work out his game mechanics[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>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.<\/p>\r\n<h3>Number Categorization Challenge<\/h3>\r\n<p>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.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]12387[\/ohm2_question]<\/p>\r\n<\/section>\r\n<h3>Property Puzzle<\/h3>\r\n<p>Jordan asks you to demonstrate a puzzle where players must identify the commutative property with addition and multiplication.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13857[\/ohm2_question]<\/p>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Categorize real numbers into counting, whole, rational, irrational, or integers<\/li>\n<li>Recognize and use the properties of real numbers<\/li>\n<\/ul>\n<\/section>\n<h2>Real Numbers: The Game Developer&#8217;s Toolkit<\/h2>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_10412\" aria-describedby=\"caption-attachment-10412\" style=\"width: 333px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10412\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1.jpg\" alt=\"A person working on code on a laptop and a desktop.\" width=\"333\" height=\"500\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1.jpg 1640w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-200x300.jpg 200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-683x1024.jpg 683w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-768x1152.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-1024x1536.jpg 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-1365x2048.jpg 1365w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-1200x1800.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-65x98.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-225x338.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06205222\/procreator-ux-design-studio-VzJjPuk53sk-unsplash-1-350x525.jpg 350w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><figcaption id=\"caption-attachment-10412\" class=\"wp-caption-text\">Figure 1. Help Jordan work out his game mechanics<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>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.<\/p>\n<h3>Number Categorization Challenge<\/h3>\n<p>Jordan presents you with a list of numbers that will appear in the game. 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