{"id":208,"date":"2017-08-22T16:29:48","date_gmt":"2017-08-22T16:29:48","guid":{"rendered":"http:\/\/americanboard.org\/Subjects\/elementary-education\/?page_id=208"},"modified":"2017-08-22T17:08:50","modified_gmt":"2017-08-22T17:08:50","slug":"calculating-with-rational-numbers","status":"publish","type":"page","link":"https:\/\/americanboard.org\/Subjects\/elementary-education\/calculating-with-rational-numbers\/","title":{"rendered":"Calculating with Rational Numbers"},"content":{"rendered":"<div class=\"twelve columns\" style=\"margin-top: 10%;\">\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/numbers-in-their-prime\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/number-sense\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/fractions\">Next Lesson \u27a1<\/a><\/div>\n<p><!-- CONTENT BEGINS HERE --><\/p>\n<h1 id=\"title\">Calculating with Rational Numbers<\/h1>\n<h4>Objective<\/h4>\n<p>In this lesson we will review positive and negative integers.<\/p>\n<h4>Previously Covered:<\/h4>\n<ul>\n<li>In the sections above, we discussed prime numbers and the fact that they have exactly two factors: the number one and the number itself.<\/li>\n<li>We also covered the divisibility rules (shortcuts to tell you if one number is divisible by another number) and the idea of prime factorization, which is the process that finds the prime-number products of a given composite number.<\/li>\n<\/ul>\n<section>\n<h3>Those Pesky Negative Numbers<\/h3>\n<p>We know, we know: This is why calculators were invented. But let\u2019s stay positive\u2014so to speak.<\/p>\n<p>We\u2019ll start with integers, rather than fractions and decimals, because the rules are all the same, and integers are easier to add, subtract, multiply, and divide mentally.<\/p>\n<p>Test yourself:<\/p>\n<section class=\"question\">\n<h4>Question<\/h4>\n<p>Solve x = \u201319 + 41.<\/p>\n<ol>\n<li>x = \u201360<\/li>\n<li>x = \u201360<\/li>\n<li>x = 22<\/li>\n<li>x = 60<\/li>\n<\/ol>\n<p><a class=\"q-answer button button-primary\">Reveal Answer<\/a><\/p>\n<p class=\"q-reveal\">The correct answer is C. Find the difference between 41 and 19, since the numbers have opposite signs. The difference is 22. The larger absolute value is 41, so the answer is positive.<\/p>\n<\/section>\n<h3>Review<\/h3>\n<ul>\n<li>If unclear about operations for integers, go back and review the specifics on how to add, subtract, multiply, and divide integers.<\/li>\n<li>Remember to have a common denominator when you are adding and subtracting fractions and mixed numbers.<\/li>\n<\/ul>\n<\/section>\n<p><!-- CONTENT ENDS HERE --><\/p>\n<div class=\"advance\"><a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/numbers-in-their-prime\">\u2b05 Previous Lesson<\/a>\u00a0<a class=\"button\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/number-sense\">Workshop Index<\/a>\u00a0<a class=\"button button-primary\" href=\"http:\/\/americanboard.org\/Subjects\/elementary-education\/fractions\">Next Lesson \u27a1<\/a><\/div>\n<p><a class=\"backtotop\" href=\"#title\">Back to Top<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u2b05 Previous Lesson\u00a0Workshop Index\u00a0Next Lesson \u27a1 Calculating with Rational Numbers Objective In this lesson we will review positive and negative integers. Previously Covered: In the sections above, we discussed prime numbers and the fact that they have exactly two factors: the number one and the number itself. We also covered the divisibility rules (shortcuts to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-208","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/208","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/comments?post=208"}],"version-history":[{"count":4,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/208\/revisions"}],"predecessor-version":[{"id":249,"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/pages\/208\/revisions\/249"}],"wp:attachment":[{"href":"https:\/\/americanboard.org\/Subjects\/elementary-education\/wp-json\/wp\/v2\/media?parent=208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}