{"id":9190,"date":"2017-05-02T16:32:48","date_gmt":"2017-05-02T16:32:48","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=9190"},"modified":"2022-04-14T21:15:24","modified_gmt":"2022-04-14T21:15:24","slug":"summary-adding-whole-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/chapter\/summary-adding-whole-numbers\/","title":{"raw":"Summary: Adding Whole Numbers","rendered":"Summary: Adding Whole Numbers"},"content":{"raw":"<h2 data-type=\"title\">Key Concepts<\/h2>\r\n<ul id=\"eip-588\">\r\n \t<li><strong>Addition Notation<\/strong> To describe addition, we can use symbols and words.\r\n<table id=\"eip-id1170324017502\" class=\"unnumbered\" summary=\"This is a table with two rows and five columns. The top row is a header row. Each column from left to right is labeled accordingly: Operation, Notation, Expressions, Read as, and result. In the second row, from left to right is addition, the plus sign, the expression 3 plus four, the statement three plus four and the sum of 3 and 4.\" data-label=\"\">\r\n<thead>\r\n<tr valign=\"top\">\r\n<th data-align=\"left\">Operation<\/th>\r\n<th data-align=\"left\">Notation<\/th>\r\n<th data-align=\"left\">Expression<\/th>\r\n<th data-align=\"left\">Read as<\/th>\r\n<th data-align=\"left\">Result<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr valign=\"top\">\r\n<td data-align=\"left\">Addition<\/td>\r\n<td data-align=\"left\">[latex]+[\/latex]<\/td>\r\n<td data-align=\"left\">[latex]3+4[\/latex]<\/td>\r\n<td data-align=\"left\">three plus four<\/td>\r\n<td data-align=\"left\">the sum of [latex]3[\/latex] and [latex]4[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t<li><strong>Identity Property of Addition<\/strong>\r\n<ul id=\"eip-id1170325229876\">\r\n \t<li>The sum of any number [latex]a[\/latex] and [latex]0[\/latex] is the number.\r\n<ul>\r\n \t<li>[latex]a+0=a[\/latex]<\/li>\r\n \t<li>[latex]0+a=a[\/latex]<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Commutative Property of Addition<\/strong>\r\n<ul id=\"eip-id1170325285133\">\r\n \t<li>Changing the order of the addends [latex]a[\/latex] and [latex]b[\/latex] does not change their sum. [latex]a+b=b+a[\/latex] .<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Add whole numbers.<\/strong>\r\n<ol id=\"eip-id1170325253924\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Write the numbers so each place value lines up vertically.<\/li>\r\n \t<li>Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.<\/li>\r\n \t<li>Continue adding each place value from right to left, adding each place value and carrying if needed.<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ul>\r\n<div style=\"display: inline !important;\" data-type=\"glossary\">\r\n<h2 style=\"display: inline !important;\" data-type=\"glossary-title\"><\/h2>\r\n<h2 style=\"display: inline !important;\" data-type=\"glossary-title\">Glossary<\/h2>\r\n<strong>sum \u00a0\u00a0<\/strong>The sum is the result of adding two or more numbers.\r\n\r\n<\/div>\r\n<h1 style=\"text-align: center;\"><strong><span style=\"color: #ff0000;\">STOP!<\/span><\/strong><\/h1>\r\n<h1 style=\"text-align: center;\"><span style=\"color: #ff0000;\">You have now completed this section.\u00a0 Go back to your course menu and click on Section 1.1D- Subtracting whole numbers<\/span><\/h1>","rendered":"<h2 data-type=\"title\">Key Concepts<\/h2>\n<ul id=\"eip-588\">\n<li><strong>Addition Notation<\/strong> To describe addition, we can use symbols and words.<br \/>\n<table id=\"eip-id1170324017502\" class=\"unnumbered\" summary=\"This is a table with two rows and five columns. The top row is a header row. Each column from left to right is labeled accordingly: Operation, Notation, Expressions, Read as, and result. In the second row, from left to right is addition, the plus sign, the expression 3 plus four, the statement three plus four and the sum of 3 and 4.\" data-label=\"\">\n<thead>\n<tr valign=\"top\">\n<th data-align=\"left\">Operation<\/th>\n<th data-align=\"left\">Notation<\/th>\n<th data-align=\"left\">Expression<\/th>\n<th data-align=\"left\">Read as<\/th>\n<th data-align=\"left\">Result<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr valign=\"top\">\n<td data-align=\"left\">Addition<\/td>\n<td data-align=\"left\">[latex]+[\/latex]<\/td>\n<td data-align=\"left\">[latex]3+4[\/latex]<\/td>\n<td data-align=\"left\">three plus four<\/td>\n<td data-align=\"left\">the sum of [latex]3[\/latex] and [latex]4[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/li>\n<li><strong>Identity Property of Addition<\/strong>\n<ul id=\"eip-id1170325229876\">\n<li>The sum of any number [latex]a[\/latex] and [latex]0[\/latex] is the number.\n<ul>\n<li>[latex]a+0=a[\/latex]<\/li>\n<li>[latex]0+a=a[\/latex]<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li><strong>Commutative Property of Addition<\/strong>\n<ul id=\"eip-id1170325285133\">\n<li>Changing the order of the addends [latex]a[\/latex] and [latex]b[\/latex] does not change their sum. [latex]a+b=b+a[\/latex] .<\/li>\n<\/ul>\n<\/li>\n<li><strong>Add whole numbers.<\/strong>\n<ol id=\"eip-id1170325253924\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Write the numbers so each place value lines up vertically.<\/li>\n<li>Add the digits in each place value. Work from right to left starting with the ones place. If a sum in a place value is more than 9, carry to the next place value.<\/li>\n<li>Continue adding each place value from right to left, adding each place value and carrying if needed.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<div style=\"display: inline !important;\" data-type=\"glossary\">\n<h2 style=\"display: inline !important;\" data-type=\"glossary-title\"><\/h2>\n<h2 style=\"display: inline !important;\" data-type=\"glossary-title\">Glossary<\/h2>\n<p><strong>sum \u00a0\u00a0<\/strong>The sum is the result of adding two or more numbers.<\/p>\n<\/div>\n<h1 style=\"text-align: center;\"><strong><span style=\"color: #ff0000;\">STOP!<\/span><\/strong><\/h1>\n<h1 style=\"text-align: center;\"><span style=\"color: #ff0000;\">You have now completed this section.\u00a0 Go back to your course menu and click on Section 1.1D- Subtracting whole numbers<\/span><\/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-9190\">\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":17533,"menu_order":11,"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":"d17addc2-e478-484c-8575-c4328f549b57","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-9190","chapter","type-chapter","status-publish","hentry"],"part":5884,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9190","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":9,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9190\/revisions"}],"predecessor-version":[{"id":16094,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9190\/revisions\/16094"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/parts\/5884"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/9190\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/media?parent=9190"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=9190"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/contributor?post=9190"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/monroecc-prealgebra\/wp-json\/wp\/v2\/license?post=9190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}