{"id":3362,"date":"2023-10-04T20:03:52","date_gmt":"2023-10-04T20:03:52","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/?post_type=chapter&#038;p=3362"},"modified":"2025-05-10T22:18:23","modified_gmt":"2025-05-10T22:18:23","slug":"probability-background-youll-need-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/probability-background-youll-need-1\/","title":{"raw":"Probability: Background You'll Need 1","rendered":"Probability: Background You&#8217;ll Need 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Convert fractions to decimals and percentages.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Converting Between Fractions and Decimals<\/h2>\r\n<section class=\"textbox recall\">\r\n<h3><strong>Fractions to Decimals<\/strong><\/h3>\r\n<p>A fraction bar indicates division.<\/p>\r\n<p>[latex]{\\dfrac{7}{12}}[\/latex] is equivalent to [latex]7\\div 12[\/latex]<\/p>\r\n<p>This means that we can convert a fraction to a decimal by treating it as a division problem.<\/p>\r\n<p style=\"text-align: center;\">[latex]\\dfrac{7}{12} = 7 \u00f7 12 = 0.58333\\ldots[\/latex]<\/p>\r\n<p>Sometimes we will need to round:<\/p>\r\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">Tenths<\/td>\r\n<td style=\"width: 33.3333%;\">one decimal place<\/td>\r\n<td style=\"width: 33.3333%;\">[latex]0.6[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">Hundredths<\/td>\r\n<td style=\"width: 33.3333%;\">two decimal places<\/td>\r\n<td style=\"width: 33.3333%;\">[latex]0.58[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 33.3333%;\">Thousandths<\/td>\r\n<td style=\"width: 33.3333%;\">three decimal places<\/td>\r\n<td style=\"width: 33.3333%;\">[latex]0.583[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/section>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13891[\/ohm2_question]<\/p>\r\n<\/section>\r\n<section class=\"textbox recall\">\r\n<h3><strong>Decimals to Percentages<\/strong><\/h3>\r\n<p>To rewrite a decimal to a percentage, move the decimal over two places to the right and write it with the percent symbol ([latex]\\%[\/latex]).<\/p>\r\n<p>This act is the exact same as multiplying by [latex]100[\/latex].<\/p>\r\n<p style=\"text-align: center;\">[latex]0.58333 = 58.333\\%[\/latex]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]2652[\/ohm2_question]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]645[\/ohm2_question]<\/p>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Convert fractions to decimals and percentages.<\/li>\n<\/ul>\n<\/section>\n<h2>Converting Between Fractions and Decimals<\/h2>\n<section class=\"textbox recall\">\n<h3><strong>Fractions to Decimals<\/strong><\/h3>\n<p>A fraction bar indicates division.<\/p>\n<p>[latex]{\\dfrac{7}{12}}[\/latex] is equivalent to [latex]7\\div 12[\/latex]<\/p>\n<p>This means that we can convert a fraction to a decimal by treating it as a division problem.<\/p>\n<p style=\"text-align: center;\">[latex]\\dfrac{7}{12} = 7 \u00f7 12 = 0.58333\\ldots[\/latex]<\/p>\n<p>Sometimes we will need to round:<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 33.3333%;\">Tenths<\/td>\n<td style=\"width: 33.3333%;\">one decimal place<\/td>\n<td style=\"width: 33.3333%;\">[latex]0.6[\/latex]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">Hundredths<\/td>\n<td style=\"width: 33.3333%;\">two decimal places<\/td>\n<td style=\"width: 33.3333%;\">[latex]0.58[\/latex]<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.3333%;\">Thousandths<\/td>\n<td style=\"width: 33.3333%;\">three decimal places<\/td>\n<td style=\"width: 33.3333%;\">[latex]0.583[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/section>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13891\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13891&theme=lumen&iframe_resize_id=ohm13891&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox recall\">\n<h3><strong>Decimals to Percentages<\/strong><\/h3>\n<p>To rewrite a decimal to a percentage, move the decimal over two places to the right and write it with the percent symbol ([latex]\\%[\/latex]).<\/p>\n<p>This act is the exact same as multiplying by [latex]100[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]0.58333 = 58.333\\%[\/latex]<\/p>\n<\/section>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm2652\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2652&theme=lumen&iframe_resize_id=ohm2652&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm645\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=645&theme=lumen&iframe_resize_id=ohm645&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n","protected":false},"author":12,"menu_order":2,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":974,"module-header":"background_you_need","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\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/3362"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/12"}],"version-history":[{"count":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/3362\/revisions"}],"predecessor-version":[{"id":6524,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/3362\/revisions\/6524"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/974"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/3362\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=3362"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=3362"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=3362"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=3362"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}