{"id":372,"date":"2021-07-27T13:20:00","date_gmt":"2021-07-27T13:20:00","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=372"},"modified":"2022-01-10T18:07:05","modified_gmt":"2022-01-10T18:07:05","slug":"rounding-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/rounding-decimals\/","title":{"raw":"Rounding Decimals","rendered":"Rounding Decimals"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Round decimals<\/li>\r\n<\/ul>\r\n<\/div>\r\n<img class=\"wp-image-490 size-medium alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/07\/02125239\/pexels-skyler-ewing-8768948-240x300.jpg\" alt=\"There is a squash on a older scale and the scale shows a weight of about 2 pounds.\" width=\"240\" height=\"300\" \/>\r\n\r\nWe can measure many quantities, such as length and weight, to various degrees of accuracy. For example, a chef is preparing a recipe that calls for 1 pound of squash. In the figure to the right, we can see the weight of the squash, to the nearest pound, is 2 pounds. In this case, the chef might decide to use just half of the squash.\r\n\r\nNow we will consider a systematic method for rounding decimals.\r\n<div class=\"textbox shaded\">\r\n<h3>Round a decimal<\/h3>\r\n<ol id=\"eip-id1168466730764\" class=\"stepwise\">\r\n \t<li>Locate the given place value and mark it with an arrow.<\/li>\r\n \t<li>Underline the digit to the right of the given place value.<\/li>\r\n \t<li>Is this digit greater than or equal to [latex]5?[\/latex]\r\n<ul id=\"fs-id1367462\">\r\n \t<li>Yes - add [latex]1[\/latex] to the digit in the given place value<\/li>\r\n \t<li>No - do not change the digit in the given place value<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>Rewrite the number, removing all digits to the right of the given place value.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nRound 18.6372 to the nearest tenth.\r\n\r\n[reveal-answer q=\"79117\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"79117\"]\r\n\r\nPut Answer Here\r\n\r\nTo round 18.6372 to the nearest tenth, we identify the digit in the tenths place. The digit in the tenths place is 6.\r\n<p style=\"text-align: center;\">18.<span style=\"text-decoration: underline;\">6<\/span>372<\/p>\r\nSince the digit to the right of the tenths place is 3, and 3&lt;5, we do not add one to the digit in the tenths place. We simply remove the digits to the right of the tenths place.\r\n\r\nTherefore, 18.6372 rounded to the nearest tenth is 18.6.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nRound 18.6372 to the nearest hundredth.\r\n\r\n[reveal-answer q=\"896468\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"896468\"]\r\n\r\nTo round 18.6372 to the nearest hundredth, we identify the digit in the hundredths place.\u00a0 The digit in the hundredths place is 3.\r\n<p style=\"text-align: center;\">18.6<span style=\"text-decoration: underline;\">3<\/span>72<\/p>\r\nSince the digit to the right of the hundredths place is 7, and 7&gt;5, we add one to the digit in the hundredths place (3+1=4) and remove the digits to the right of the hundredths place.\r\n\r\nTherefore, 18.6372 rounded to the nearest hundredth is 18.64.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nWatch the following video to see an example of how to round a number to several different place values.\r\n\r\nhttps:\/\/youtu.be\/qu4Y9DGqXlk\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146244[\/ohm_question]\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Round decimals<\/li>\n<\/ul>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-490 size-medium alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/07\/02125239\/pexels-skyler-ewing-8768948-240x300.jpg\" alt=\"There is a squash on a older scale and the scale shows a weight of about 2 pounds.\" width=\"240\" height=\"300\" \/><\/p>\n<p>We can measure many quantities, such as length and weight, to various degrees of accuracy. For example, a chef is preparing a recipe that calls for 1 pound of squash. In the figure to the right, we can see the weight of the squash, to the nearest pound, is 2 pounds. In this case, the chef might decide to use just half of the squash.<\/p>\n<p>Now we will consider a systematic method for rounding decimals.<\/p>\n<div class=\"textbox shaded\">\n<h3>Round a decimal<\/h3>\n<ol id=\"eip-id1168466730764\" class=\"stepwise\">\n<li>Locate the given place value and mark it with an arrow.<\/li>\n<li>Underline the digit to the right of the given place value.<\/li>\n<li>Is this digit greater than or equal to [latex]5?[\/latex]\n<ul id=\"fs-id1367462\">\n<li>Yes &#8211; add [latex]1[\/latex] to the digit in the given place value<\/li>\n<li>No &#8211; do not change the digit in the given place value<\/li>\n<\/ul>\n<\/li>\n<li>Rewrite the number, removing all digits to the right of the given place value.<\/li>\n<\/ol>\n<\/div>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Round 18.6372 to the nearest tenth.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q79117\">Show Answer<\/span><\/p>\n<div id=\"q79117\" class=\"hidden-answer\" style=\"display: none\">\n<p>Put Answer Here<\/p>\n<p>To round 18.6372 to the nearest tenth, we identify the digit in the tenths place. The digit in the tenths place is 6.<\/p>\n<p style=\"text-align: center;\">18.<span style=\"text-decoration: underline;\">6<\/span>372<\/p>\n<p>Since the digit to the right of the tenths place is 3, and 3&lt;5, we do not add one to the digit in the tenths place. We simply remove the digits to the right of the tenths place.<\/p>\n<p>Therefore, 18.6372 rounded to the nearest tenth is 18.6.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Round 18.6372 to the nearest hundredth.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q896468\">Show Answer<\/span><\/p>\n<div id=\"q896468\" class=\"hidden-answer\" style=\"display: none\">\n<p>To round 18.6372 to the nearest hundredth, we identify the digit in the hundredths place.\u00a0 The digit in the hundredths place is 3.<\/p>\n<p style=\"text-align: center;\">18.6<span style=\"text-decoration: underline;\">3<\/span>72<\/p>\n<p>Since the digit to the right of the hundredths place is 7, and 7&gt;5, we add one to the digit in the hundredths place (3+1=4) and remove the digits to the right of the hundredths place.<\/p>\n<p>Therefore, 18.6372 rounded to the nearest hundredth is 18.64.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>Watch the following video to see an example of how to round a number to several different place values.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Examples:  Rounding Decimals\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qu4Y9DGqXlk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146244\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146244&theme=oea&iframe_resize_id=ohm146244&show_question_numbers\" width=\"100%\" height=\"150\"><\/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-372\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID 146244. <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><strong>Authored by<\/strong>: Lumen Learning. <strong>Provided 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><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Examples: Rounding Decimals. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/qu4Y9DGqXlk\">https:\/\/youtu.be\/qu4Y9DGqXlk<\/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><strong>Authored by<\/strong>: Skyler Ewing. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/food-apple-vintage-time-8768948\/\">https:\/\/www.pexels.com\/photo\/food-apple-vintage-time-8768948\/<\/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 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>: Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction<\/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":169134,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/prealgebra\/pages\/1-introduction\"},{\"type\":\"cc\",\"description\":\"Examples: Rounding Decimals\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/qu4Y9DGqXlk\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Question ID 146244\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"},{\"type\":\"original\",\"description\":\"\",\"author\":\"Lumen Learning\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"\",\"author\":\"Skyler Ewing\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/food-apple-vintage-time-8768948\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-372","chapter","type-chapter","status-publish","hentry"],"part":23,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/372","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":14,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/372\/revisions"}],"predecessor-version":[{"id":3210,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/372\/revisions\/3210"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/23"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/372\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=372"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=372"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=372"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}