{"id":7444,"date":"2017-05-02T19:39:02","date_gmt":"2017-05-02T19:39:02","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=7444"},"modified":"2024-04-30T21:23:00","modified_gmt":"2024-04-30T21:23:00","slug":"properties-of-identity-inverses-and-zero","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/properties-of-identity-inverses-and-zero\/","title":{"raw":"Introduction to Properties of Identity, Inverses, and Zero","rendered":"Introduction to Properties of Identity, Inverses, and Zero"},"content":{"raw":"<h2>What you'll learn to do: Understand and apply the properties of identity, inverses, and zero when simplifying expressions<\/h2>\r\n[caption id=\"attachment_12929\" align=\"aligncenter\" width=\"960\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/22230153\/man-791505_960_720.jpg\"><img class=\"wp-image-12929 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/22230153\/man-791505_960_720.jpg\" alt=\"A man standing at a charcoal grill with several sausages on it, turning them with a pair of tongs\" width=\"960\" height=\"640\" \/><\/a> How many hot dogs does Sam need to feed his guests?[\/caption]\r\n\r\nSam is having a barbecue with his family to celebrate the Fourth of July. He's grilling hamburgers for the adults and hot dogs for the children. He expects 14 adults and 8 children. After estimating that each child will eat one hot dog, how many hot dogs should Sam grill? To figure this out, Sam can use the identity property of multiplication. You'll learn about this property and a few others\u00a0in this section.\r\n\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]144927[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/suk9KMzOKkU\r\n\r\n2)\r\n\r\n[ohm_question]141842[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/IM991IqCi44\r\n\r\n3)\r\n\r\n[ohm_question]146025[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/Rxz7OUzNyV0\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Understand and apply the properties of identity, inverses, and zero when simplifying expressions<\/h2>\n<div id=\"attachment_12929\" style=\"width: 970px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/22230153\/man-791505_960_720.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-12929\" class=\"wp-image-12929 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/22230153\/man-791505_960_720.jpg\" alt=\"A man standing at a charcoal grill with several sausages on it, turning them with a pair of tongs\" width=\"960\" height=\"640\" \/><\/a><\/p>\n<p id=\"caption-attachment-12929\" class=\"wp-caption-text\">How many hot dogs does Sam need to feed his guests?<\/p>\n<\/div>\n<p>Sam is having a barbecue with his family to celebrate the Fourth of July. He&#8217;s grilling hamburgers for the adults and hot dogs for the children. He expects 14 adults and 8 children. After estimating that each child will eat one hot dog, how many hot dogs should Sam grill? To figure this out, Sam can use the identity property of multiplication. You&#8217;ll learn about this property and a few others\u00a0in this section.<\/p>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144927\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144927&theme=oea&iframe_resize_id=ohm144927&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex:  Determine the Opposites of Integers\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/suk9KMzOKkU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm141842\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=141842&theme=oea&iframe_resize_id=ohm141842&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex: Determine the Reciprocal of Integers, Fractions, and Mixed Numbers\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/IM991IqCi44?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146025\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146025&theme=oea&iframe_resize_id=ohm146025&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Ex 2: Multiply Fractions\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Rxz7OUzNyV0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-7444\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Grilling Hot Dogs. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/p-791505\/?no_redirect\">https:\/\/pixabay.com\/p-791505\/?no_redirect<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><li>Ex: Determine the Opposites of Integers. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/suk9KMzOKkU\">https:\/\/youtu.be\/suk9KMzOKkU<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Ex: Determine the Reciprocal of Integers, Fractions, and Mixed Numbers. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/IM991IqCi44\">https:\/\/youtu.be\/IM991IqCi44<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 141842, 144927. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><li>Ex. 2: Multiply Fractions. <strong>Authored by<\/strong>: Sousa, James. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/Rxz7OUzNyV0\">https:\/\/youtu.be\/Rxz7OUzNyV0<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":17,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Grilling Hot Dogs\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/p-791505\/?no_redirect\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Determine the Opposites of Integers\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/suk9KMzOKkU\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Determine the Reciprocal of Integers, Fractions, and Mixed Numbers\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/IM991IqCi44\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Question ID: 141842, 144927\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"},{\"type\":\"cc\",\"description\":\"Ex. 2: Multiply Fractions\",\"author\":\"Sousa, James\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/Rxz7OUzNyV0\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"0c45ee8136a34daaa48082e45b140edb","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-7444","chapter","type-chapter","status-publish","hentry"],"part":7349,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/7444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/users\/21"}],"version-history":[{"count":24,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/7444\/revisions"}],"predecessor-version":[{"id":15865,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/7444\/revisions\/15865"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/parts\/7349"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapters\/7444\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/media?parent=7444"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/pressbooks\/v2\/chapter-type?post=7444"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/contributor?post=7444"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/wp-json\/wp\/v2\/license?post=7444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}