{"id":528,"date":"2024-04-22T20:42:57","date_gmt":"2024-04-22T20:42:57","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/?post_type=chapter&#038;p=528"},"modified":"2025-06-30T19:43:45","modified_gmt":"2025-06-30T19:43:45","slug":"introduction-to-real-numbers-apply-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/chapter\/introduction-to-real-numbers-apply-it-1\/","title":{"raw":"Introduction to Real Numbers: Apply It 1","rendered":"Introduction to Real Numbers: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Categorize real numbers as counting numbers, whole numbers, rational numbers, irrational numbers, or integers<\/li>\r\n \t<li>Use the properties of real numbers and the order of operations to accurately calculate and manipulate algebraic expressions.<\/li>\r\n \t<li>Evaluate and simplify algebraic expressions to enhance problem-solving efficiency in mathematics.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Real Numbers: The Game Developer's Toolkit<\/h2>\r\nJordan, 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.\r\n\r\nJordan 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.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]12387[\/ohm2_question]<\/section>Jordan asks you to demonstrate a puzzle where players must identify the commutative property with addition and multiplication.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13857[\/ohm2_question]<\/section>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.\r\n\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13858[\/ohm2_question]<\/section><section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13859[\/ohm2_question]<\/section><section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]13861[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Categorize real numbers as counting numbers, whole numbers, rational numbers, irrational numbers, or integers<\/li>\n<li>Use the properties of real numbers and the order of operations to accurately calculate and manipulate algebraic expressions.<\/li>\n<li>Evaluate and simplify algebraic expressions to enhance problem-solving efficiency in mathematics.<\/li>\n<\/ul>\n<\/section>\n<h2>Real Numbers: The Game Developer&#8217;s Toolkit<\/h2>\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<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>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm12387\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=12387&theme=lumen&iframe_resize_id=ohm12387&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Jordan asks you to demonstrate a puzzle where players must identify the commutative property with addition and multiplication.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13857\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13857&theme=lumen&iframe_resize_id=ohm13857&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>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.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13858\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13858&theme=lumen&iframe_resize_id=ohm13858&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13859\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13859&theme=lumen&iframe_resize_id=ohm13859&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm13861\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13861&theme=lumen&iframe_resize_id=ohm13861&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":12,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":32,"module-header":"apply_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/528"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":15,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/528\/revisions"}],"predecessor-version":[{"id":8072,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/528\/revisions\/8072"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/parts\/32"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapters\/528\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/media?parent=528"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=528"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/contributor?post=528"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebra\/wp-json\/wp\/v2\/license?post=528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}