{"id":8988,"date":"2017-04-27T22:05:45","date_gmt":"2017-04-27T22:05:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=8988"},"modified":"2019-04-30T17:46:25","modified_gmt":"2019-04-30T17:46:25","slug":"why-it-matters-integers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/why-it-matters-integers\/","title":{"raw":"Why It Matters: Integers","rendered":"Why It Matters: Integers"},"content":{"raw":"<h2>Why learn how to solve math problems that involve integers?<\/h2>\r\nBeatrice is an oceanographer, and she's\u00a0studying the composition of undersea lava flows off the coast of Hawaii. As part of her work, she's on a scuba diving mission to collect samples of lava rock at\u00a0various depths. She and her team dive down and then follow\u00a0the lava flow from the point of eruption along\u00a0hills and valleys that have formed over time, collecting samples along the way.\r\n\r\nToday, Beatrice and her team start their dive by going [latex]110[\/latex] feet\u00a0below sea level. After collecting a few samples, they gradually come back up to sea level. Along the way, they notice a lava formation at [latex]23[\/latex] feet below sea level, so they do another dive to collect samples from it.\r\n\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/21154922\/scuba-diver-1448963149eYa.jpg\"><img class=\"aligncenter wp-image-12489 \" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/21154922\/scuba-diver-1448963149eYa.jpg\" alt=\"A scuba diver swimming in blue-green water over a coral reef\" width=\"650\" height=\"487\" \/><\/a>\r\n\r\nThe team is happy with the undersea samples they've collected, and can't wait to compare their composition\u00a0to the exposed lava flow on the island. Another team has been collecting samples from above the surface of the water at [latex]518[\/latex] feet above sea level, and from the peak of the volcano at [latex]10,679[\/latex] feet above sea level.\r\n\r\nAt the end of the day, Beatrice and her team take their samples back to the lab, and they start thinking about the amazing collective journey they took by following the lava. What's the total elevation change between samples of rock?\r\n\r\nThey also notice that the lava samples from [latex]23[\/latex] feet below sea level and [latex]518[\/latex] feet above sea level are very similar. What's their vertical distance from each other?\r\n\r\nTo find the answers to these questions, you'll need to know how\u00a0integers work. Read on to\u00a0find out what you can do with a good understanding of integers.","rendered":"<h2>Why learn how to solve math problems that involve integers?<\/h2>\n<p>Beatrice is an oceanographer, and she&#8217;s\u00a0studying the composition of undersea lava flows off the coast of Hawaii. As part of her work, she&#8217;s on a scuba diving mission to collect samples of lava rock at\u00a0various depths. She and her team dive down and then follow\u00a0the lava flow from the point of eruption along\u00a0hills and valleys that have formed over time, collecting samples along the way.<\/p>\n<p>Today, Beatrice and her team start their dive by going [latex]110[\/latex] feet\u00a0below sea level. After collecting a few samples, they gradually come back up to sea level. Along the way, they notice a lava formation at [latex]23[\/latex] feet below sea level, so they do another dive to collect samples from it.<\/p>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/21154922\/scuba-diver-1448963149eYa.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12489\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/21154922\/scuba-diver-1448963149eYa.jpg\" alt=\"A scuba diver swimming in blue-green water over a coral reef\" width=\"650\" height=\"487\" \/><\/a><\/p>\n<p>The team is happy with the undersea samples they&#8217;ve collected, and can&#8217;t wait to compare their composition\u00a0to the exposed lava flow on the island. Another team has been collecting samples from above the surface of the water at [latex]518[\/latex] feet above sea level, and from the peak of the volcano at [latex]10,679[\/latex] feet above sea level.<\/p>\n<p>At the end of the day, Beatrice and her team take their samples back to the lab, and they start thinking about the amazing collective journey they took by following the lava. What&#8217;s the total elevation change between samples of rock?<\/p>\n<p>They also notice that the lava samples from [latex]23[\/latex] feet below sea level and [latex]518[\/latex] feet above sea level are very similar. What&#8217;s their vertical distance from each other?<\/p>\n<p>To find the answers to these questions, you&#8217;ll need to know how\u00a0integers work. Read on to\u00a0find out what you can do with a good understanding of integers.<\/p>\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-8988\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><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 class=\"license-attribution-dropdown-subheading\">Public domain content<\/div><ul class=\"citation-list\"><li>Scuba diver. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.publicdomainpictures.net\/view-image.php?image=137979&#038;picture=&#038;jazyk=FR\">http:\/\/www.publicdomainpictures.net\/view-image.php?image=137979&#038;picture=&#038;jazyk=FR<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/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":17533,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"pd\",\"description\":\"Scuba diver\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.publicdomainpictures.net\/view-image.php?image=137979&picture=&jazyk=FR\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"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\"}]","CANDELA_OUTCOMES_GUID":"3b40e62b-98ca-4a99-a0dc-0fac979267c8","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-8988","chapter","type-chapter","status-publish","hentry"],"part":6350,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/8988","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":14,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/8988\/revisions"}],"predecessor-version":[{"id":15765,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/8988\/revisions\/15765"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/6350"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/8988\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=8988"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=8988"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=8988"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=8988"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}