{"id":6988,"date":"2017-05-25T16:58:07","date_gmt":"2017-05-25T16:58:07","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6988"},"modified":"2021-05-21T20:59:43","modified_gmt":"2021-05-21T20:59:43","slug":"introduction-to-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/chapter\/introduction-to-decimals\/","title":{"raw":"Introduction to Writing and Identifying Characteristics of Decimals","rendered":"Introduction to Writing and Identifying Characteristics of Decimals"},"content":{"raw":"<h2>What you'll learn to do: Write and identify characteristics of decimals<\/h2>\r\n[caption id=\"\" align=\"aligncenter\" width=\"975\"]<img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221424\/CNX_BMath_Figure_05_01_013.png\" alt=\"A gas station sign is shown. It lists unleaded as 3.999, mid-grade as 4.099, and premium as 4.199.\" width=\"975\" height=\"450\" \/> The price of a gallon of gasoline is written as a decimal number.[\/caption]\r\n\r\nGasoline prices change all the time. They might go down for a period of time, but then they usually rise again. One thing that stays the same is that the price is not usually a whole number. Instead, it is shown using a decimal point to describe the cost in dollars and cents. We use decimal numbers all the time, especially when dealing with money. In this section, we'll explore decimal numbers and how to perform operations using them.\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\nName the number [latex]4,926,015[\/latex] in words.\r\n\r\n[reveal-answer q=\"623838\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"623838\"]\r\n\r\nfour million, nine hundred twenty-six thousand, fifteen\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review the following example.\r\n<div class=\"textbox shaded\">\r\n\r\nName the number\u00a0[latex]8,165,432,098,710[\/latex] in words.\r\n\r\n[reveal-answer q=\"904733\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"904733\"]\r\n\r\nSolution\r\n<table id=\"fs-id1171100715908\" class=\"unnumbered unstyled\" summary=\"Begin with the leftmost digit, which is 8. It is in the trillions place. Eight trillion. \/ The next period to the right is billions - one hundred sixty-five billion. \/ The next period to the right is millions - four hundred thirty-two million. \/ The next period to the right is thousands - ninety-eight thousand. \/ The rightmost period shows the ones - seven hundred ten.\">\r\n<tbody>\r\n<tr>\r\n<td>Begin with the leftmost digit, which is [latex]8[\/latex]. It is in the trillions place.<\/td>\r\n<td>eight trillion<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>The next period to the right is billions.<\/td>\r\n<td>one hundred sixty-five billion<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>The next period to the right is millions.<\/td>\r\n<td>four hundred thirty-two million<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>The next period to the right is thousands.<\/td>\r\n<td>ninety-eight thousand<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>The rightmost period shows the ones.<\/td>\r\n<td>seven hundred ten<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215220\/CNX_BMath_Figure_01_01_014_img.png\" alt=\"An image with five values separated by commas. The first value is \" data-media-type=\"image\/png\" \/>\r\nPutting all of the words together, we write [latex]8,165,432,098,710[\/latex]\u00a0as eight trillion, one hundred sixty-five billion, four hundred thirty-two million, ninety-eight thousand, seven hundred ten.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n2)\r\n\r\nRound [latex]748[\/latex] to the nearest ten.\r\n\r\n[reveal-answer q=\"660856\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"660856\"]\r\n\r\n[latex]750[\/latex]\r\n\r\n[\/hidden-answer]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/tpFCYyTi1hc\r\n\r\n3)\r\n\r\n[ohm_question]146007[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/EIdmdTRQWTE\r\n\r\n<\/div>\r\n<h2>Contribute!<\/h2><div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div><a href=\"https:\/\/docs.google.com\/document\/d\/1G85SsK7_3Ih-Kj46DeyOUntpslGHZmaJVyFz_4jJf9g\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a>","rendered":"<h2>What you&#8217;ll learn to do: Write and identify characteristics of decimals<\/h2>\n<div style=\"width: 985px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221424\/CNX_BMath_Figure_05_01_013.png\" alt=\"A gas station sign is shown. It lists unleaded as 3.999, mid-grade as 4.099, and premium as 4.199.\" width=\"975\" height=\"450\" \/><\/p>\n<p class=\"wp-caption-text\">The price of a gallon of gasoline is written as a decimal number.<\/p>\n<\/div>\n<p>Gasoline prices change all the time. They might go down for a period of time, but then they usually rise again. One thing that stays the same is that the price is not usually a whole number. Instead, it is shown using a decimal point to describe the cost in dollars and cents. We use decimal numbers all the time, especially when dealing with money. In this section, we&#8217;ll explore decimal numbers and how to perform operations using them.<\/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>Name the number [latex]4,926,015[\/latex] in words.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q623838\">Show Solution<\/span><\/p>\n<div id=\"q623838\" class=\"hidden-answer\" style=\"display: none\">\n<p>four million, nine hundred twenty-six thousand, fifteen<\/p>\n<\/div>\n<\/div>\n<p>If you missed this problem, review the following example.<\/p>\n<div class=\"textbox shaded\">\n<p>Name the number\u00a0[latex]8,165,432,098,710[\/latex] in words.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q904733\">Show Solution<\/span><\/p>\n<div id=\"q904733\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"fs-id1171100715908\" class=\"unnumbered unstyled\" summary=\"Begin with the leftmost digit, which is 8. It is in the trillions place. Eight trillion. \/ The next period to the right is billions - one hundred sixty-five billion. \/ The next period to the right is millions - four hundred thirty-two million. \/ The next period to the right is thousands - ninety-eight thousand. \/ The rightmost period shows the ones - seven hundred ten.\">\n<tbody>\n<tr>\n<td>Begin with the leftmost digit, which is [latex]8[\/latex]. It is in the trillions place.<\/td>\n<td>eight trillion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is billions.<\/td>\n<td>one hundred sixty-five billion<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is millions.<\/td>\n<td>four hundred thirty-two million<\/td>\n<\/tr>\n<tr>\n<td>The next period to the right is thousands.<\/td>\n<td>ninety-eight thousand<\/td>\n<\/tr>\n<tr>\n<td>The rightmost period shows the ones.<\/td>\n<td>seven hundred ten<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24215220\/CNX_BMath_Figure_01_01_014_img.png\" alt=\"An image with five values separated by commas. The first value is\" data-media-type=\"image\/png\" \/><br \/>\nPutting all of the words together, we write [latex]8,165,432,098,710[\/latex]\u00a0as eight trillion, one hundred sixty-five billion, four hundred thirty-two million, ninety-eight thousand, seven hundred ten.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>2)<\/p>\n<p>Round [latex]748[\/latex] to the nearest ten.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q660856\">Show Solution<\/span><\/p>\n<div id=\"q660856\" class=\"hidden-answer\" style=\"display: none\">\n<p>[latex]750[\/latex]<\/p>\n<\/div>\n<\/div>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex: Rounding to the Various Place Values - Number Line \/ Formal Rules\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/tpFCYyTi1hc?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146007\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146007&theme=oea&iframe_resize_id=ohm146007&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-2\" title=\"Ex:  Identify a Fraction on a Number Line\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/EIdmdTRQWTE?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n<h2>Contribute!<\/h2>\n<div style=\"margin-bottom: 8px;\">Did you have an idea for improving this content? We\u2019d love your input.<\/div>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/1G85SsK7_3Ih-Kj46DeyOUntpslGHZmaJVyFz_4jJf9g\" target=\"_blank\" style=\"font-size: 10pt; font-weight: 600; color: #077fab; text-decoration: none; border: 2px solid #077fab; border-radius: 7px; padding: 5px 25px; text-align: center; cursor: pointer; line-height: 1.5em;\">Improve this page<\/a><a style=\"margin-left: 16px;\" target=\"_blank\" href=\"https:\/\/docs.google.com\/document\/d\/1vy-T6DtTF-BbMfpVEI7VP_R7w2A4anzYZLXR8Pk4Fu4\">Learn More<\/a><\/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-6988\">\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>Gas station prices on a sign . <strong>Authored by<\/strong>: Mark Turnauckas. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/marktee\/5648936885\/\">https:\/\/www.flickr.com\/photos\/marktee\/5648936885\/<\/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: Rounding to the Various Place Values - Number Line \/ Formal Rules .. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/tpFCYyTi1hc\">https:\/\/youtu.be\/tpFCYyTi1hc<\/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: Identify a Fraction on a Number Line. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/EIdmdTRQWTE\">https:\/\/youtu.be\/EIdmdTRQWTE<\/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: 146007. <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><\/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":20,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Gas station prices on a sign \",\"author\":\"Mark Turnauckas\",\"organization\":\"\",\"url\":\"https:\/\/www.flickr.com\/photos\/marktee\/5648936885\/\",\"project\":\"\",\"license\":\"cc-by\",\"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\"},{\"type\":\"cc\",\"description\":\"Ex: Rounding to the Various Place Values - Number Line \/ Formal Rules .\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/tpFCYyTi1hc\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Identify a Fraction on a Number Line\",\"author\":\"James Sousa (Mathispower4u.com) \",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/EIdmdTRQWTE\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Question ID: 146007\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"}]","CANDELA_OUTCOMES_GUID":"0280198ed2ec476e872dd80c2b7e6138","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-6988","chapter","type-chapter","status-publish","hentry"],"part":5884,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6988","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/users\/21"}],"version-history":[{"count":24,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6988\/revisions"}],"predecessor-version":[{"id":20242,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6988\/revisions\/20242"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/parts\/5884"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapters\/6988\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/media?parent=6988"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/pressbooks\/v2\/chapter-type?post=6988"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/contributor?post=6988"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/cpcc-algebra-trig-I-support\/wp-json\/wp\/v2\/license?post=6988"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}