{"id":9398,"date":"2017-05-02T22:14:03","date_gmt":"2017-05-02T22:14:03","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9398"},"modified":"2019-12-18T23:19:52","modified_gmt":"2019-12-18T23:19:52","slug":"summary-subtracting-integers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/summary-subtracting-integers\/","title":{"raw":"Summary: Subtracting Integers","rendered":"Summary: Subtracting Integers"},"content":{"raw":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,\r\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\r\n<h1><\/h1>\r\n<h2>Key Concepts<\/h2>\r\n<ul id=\"fs-id2662238\">\r\n \t<li><strong>Subtraction of Integers<\/strong>\r\n<table id=\"eip-id1168466110349\" style=\"width: 85%;\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>[latex]5 - 3[\/latex]<\/td>\r\n<td>[latex]-5-\\left(-3\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]2[\/latex]<\/td>\r\n<td>[latex]-2[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]2[\/latex] positives<\/td>\r\n<td>[latex]2[\/latex] negatives<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">When there would be enough counters of the color to take away, subtract.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]-5 - 3[\/latex]<\/td>\r\n<td>[latex]5-\\left(-3\\right)[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]-8[\/latex]<\/td>\r\n<td>[latex]8[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]5[\/latex] negatives, want to subtract [latex]3[\/latex] positives<\/td>\r\n<td>[latex]5[\/latex] positives, want to subtract [latex]3[\/latex] negatives<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Need neutral pairs<\/td>\r\n<td>Need neutral pairs<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">When there would not be enough of the counters to take away, add neutral pairs.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t<li><strong>Subtraction Property<\/strong>\r\n<ul id=\"eip-id1168466068564\">\r\n \t<li>[latex]a-b=a+(-b)[\/latex]<\/li>\r\n \t<li>[latex]a-(-b)=a+b[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Solve Application Problems<\/strong>\r\n<ul id=\"eip-id1168469817896\">\r\n \t<li>Step 1. Identify what you are asked to find.<\/li>\r\n \t<li>Step 2. Write a phrase that gives the information to find it.<\/li>\r\n \t<li>Step 3. Translate the phrase to an expression.<\/li>\r\n \t<li>Step 4. Simplify the expression.<\/li>\r\n \t<li>Step 5. Answer the question with a complete sentence.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2><\/h2>\r\n<h1><\/h1>","rendered":"<h1 style=\"text-align: center;\"><span style=\"color: #ff0000; background-color: #999999;\">End of textbook section. After reviewing the content below,<br \/>\nClose this tab and proceed to the assignment\u00a0<\/span><\/h1>\n<h1><\/h1>\n<h2>Key Concepts<\/h2>\n<ul id=\"fs-id2662238\">\n<li><strong>Subtraction of Integers<\/strong><br \/>\n<table id=\"eip-id1168466110349\" style=\"width: 85%;\" summary=\".\">\n<tbody>\n<tr>\n<td>[latex]5 - 3[\/latex]<\/td>\n<td>[latex]-5-\\left(-3\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]2[\/latex]<\/td>\n<td>[latex]-2[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]2[\/latex] positives<\/td>\n<td>[latex]2[\/latex] negatives<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">When there would be enough counters of the color to take away, subtract.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><\/td>\n<\/tr>\n<tr>\n<td>[latex]-5 - 3[\/latex]<\/td>\n<td>[latex]5-\\left(-3\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]-8[\/latex]<\/td>\n<td>[latex]8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]5[\/latex] negatives, want to subtract [latex]3[\/latex] positives<\/td>\n<td>[latex]5[\/latex] positives, want to subtract [latex]3[\/latex] negatives<\/td>\n<\/tr>\n<tr>\n<td>Need neutral pairs<\/td>\n<td>Need neutral pairs<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">When there would not be enough of the counters to take away, add neutral pairs.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li><strong>Subtraction Property<\/strong>\n<ul id=\"eip-id1168466068564\">\n<li>[latex]a-b=a+(-b)[\/latex]<\/li>\n<li>[latex]a-(-b)=a+b[\/latex]<\/li>\n<\/ul>\n<\/li>\n<li><strong>Solve Application Problems<\/strong>\n<ul id=\"eip-id1168469817896\">\n<li>Step 1. Identify what you are asked to find.<\/li>\n<li>Step 2. Write a phrase that gives the information to find it.<\/li>\n<li>Step 3. Translate the phrase to an expression.<\/li>\n<li>Step 4. Simplify the expression.<\/li>\n<li>Step 5. Answer the question with a complete sentence.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2><\/h2>\n<h1><\/h1>\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-9398\">\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>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17535,"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\"}]","CANDELA_OUTCOMES_GUID":"f7368e97-b1f8-493f-b921-0917b398f46b","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9398","chapter","type-chapter","status-publish","hentry"],"part":6350,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9398","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/users\/17535"}],"version-history":[{"count":10,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9398\/revisions"}],"predecessor-version":[{"id":16070,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9398\/revisions\/16070"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/parts\/6350"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9398\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/media?parent=9398"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=9398"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/contributor?post=9398"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/wp-json\/wp\/v2\/license?post=9398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}