{"id":3084,"date":"2019-10-23T14:03:25","date_gmt":"2019-10-23T14:03:25","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=3084"},"modified":"2021-02-05T23:50:27","modified_gmt":"2021-02-05T23:50:27","slug":"summary-review-topics-3","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/chapter\/summary-review-topics-3\/","title":{"raw":"Summary: Review Topics","rendered":"Summary: Review Topics"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>Divisibility Rules\r\n<ul>\r\n \t<li>Integers divisible by 5 end in 0 or 5. Integers divisible by 10 end in zero. Integers divisible by 2 end have a final digit that is even.<\/li>\r\n \t<li>If the sum of the digits of an integer is divisible by 3 then so is the integer.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<h2>Key Equations<\/h2>\r\n<ul>\r\n \t<li>[latex]{a}^{m}\\cdot {a}^{n}={a}^{m+n}[\/latex]<\/li>\r\n \t<li>[latex]{\\left({a}^{m}\\right)}^{n}={a}^{m\\cdot n}[\/latex]<\/li>\r\n \t<li>[latex]{\\left(ab\\right)}^{m}={a}^{m}{b}^{m}[\/latex]<\/li>\r\n \t<li>[latex]\\dfrac{a^{m}}{a^{n}}=a^{m-n}[\/latex]<\/li>\r\n \t<li>[latex]a^{0}=1[\/latex]<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<dl>\r\n \t<dt><strong>term<\/strong><\/dt>\r\n \t<dd>definition<\/dd>\r\n \t<dt><strong>binomial<\/strong><\/dt>\r\n \t<dd>a polynomial with exactly two terms<\/dd>\r\n \t<dt><strong>composite number<\/strong><\/dt>\r\n \t<dd>a composite number is a number that is not prime<\/dd>\r\n \t<dt><strong>degree of a term<\/strong><\/dt>\r\n \t<dd>the exponent of its variable (the degree of a constant term is 0)<\/dd>\r\n \t<dt><strong>degree or a polynomial<\/strong><\/dt>\r\n \t<dd>the degree of a polynomial is the highest degree of all its terms<\/dd>\r\n \t<dt><strong>divisibility<\/strong><\/dt>\r\n \t<dd>if a number [latex]m[\/latex] is a multiple of [latex]n[\/latex], then we say that [latex]m[\/latex] is divisible by [latex]n[\/latex]<\/dd>\r\n \t<dt><strong>factors<\/strong><\/dt>\r\n \t<dd>if [latex]a \\cdot b=m[\/latex], then [latex]a[\/latex] and [latex]b[\/latex] are factors of [latex]m[\/latex], and [latex]m[\/latex] is the product of [latex]a[\/latex] and [latex]b[\/latex]<\/dd>\r\n \t<dt><strong>like terms<\/strong><\/dt>\r\n \t<dd>terms that are either constants or have the same variables with the same exponents<\/dd>\r\n \t<dt><strong>monomial<\/strong><\/dt>\r\n \t<dd>a polynomial with exactly one term<\/dd>\r\n \t<dt><strong>multiple of a number<\/strong><\/dt>\r\n \t<dd>A number is a multiple of [latex]n[\/latex] if it is the product of a counting number and [latex]n[\/latex]<\/dd>\r\n \t<dt><strong>polynomial<\/strong><\/dt>\r\n \t<dd>an algebraic term, or two or more terms, combined by addition or subtraction<\/dd>\r\n \t<dt><strong>prime number<\/strong><\/dt>\r\n \t<dd>a number whose only factors are 1 and itself<\/dd>\r\n \t<dt><strong>square of a number<\/strong><\/dt>\r\n \t<dd>if [latex]n^{2}=m[\/latex], then [latex]m[\/latex] is the square of [latex]n[\/latex]<\/dd>\r\n \t<dt><strong>square root of a number<\/strong><\/dt>\r\n \t<dd>if [latex]n^{2}=m[\/latex], then [latex]n[\/latex] is the square root of [latex]m[\/latex]<\/dd>\r\n \t<dt><strong>trinomial<\/strong><\/dt>\r\n \t<dd>a polynomial with exactly three terms<\/dd>\r\n<\/dl>","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>Divisibility Rules\n<ul>\n<li>Integers divisible by 5 end in 0 or 5. Integers divisible by 10 end in zero. Integers divisible by 2 end have a final digit that is even.<\/li>\n<li>If the sum of the digits of an integer is divisible by 3 then so is the integer.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h2>Key Equations<\/h2>\n<ul>\n<li>[latex]{a}^{m}\\cdot {a}^{n}={a}^{m+n}[\/latex]<\/li>\n<li>[latex]{\\left({a}^{m}\\right)}^{n}={a}^{m\\cdot n}[\/latex]<\/li>\n<li>[latex]{\\left(ab\\right)}^{m}={a}^{m}{b}^{m}[\/latex]<\/li>\n<li>[latex]\\dfrac{a^{m}}{a^{n}}=a^{m-n}[\/latex]<\/li>\n<li>[latex]a^{0}=1[\/latex]<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>term<\/strong><\/dt>\n<dd>definition<\/dd>\n<dt><strong>binomial<\/strong><\/dt>\n<dd>a polynomial with exactly two terms<\/dd>\n<dt><strong>composite number<\/strong><\/dt>\n<dd>a composite number is a number that is not prime<\/dd>\n<dt><strong>degree of a term<\/strong><\/dt>\n<dd>the exponent of its variable (the degree of a constant term is 0)<\/dd>\n<dt><strong>degree or a polynomial<\/strong><\/dt>\n<dd>the degree of a polynomial is the highest degree of all its terms<\/dd>\n<dt><strong>divisibility<\/strong><\/dt>\n<dd>if a number [latex]m[\/latex] is a multiple of [latex]n[\/latex], then we say that [latex]m[\/latex] is divisible by [latex]n[\/latex]<\/dd>\n<dt><strong>factors<\/strong><\/dt>\n<dd>if [latex]a \\cdot b=m[\/latex], then [latex]a[\/latex] and [latex]b[\/latex] are factors of [latex]m[\/latex], and [latex]m[\/latex] is the product of [latex]a[\/latex] and [latex]b[\/latex]<\/dd>\n<dt><strong>like terms<\/strong><\/dt>\n<dd>terms that are either constants or have the same variables with the same exponents<\/dd>\n<dt><strong>monomial<\/strong><\/dt>\n<dd>a polynomial with exactly one term<\/dd>\n<dt><strong>multiple of a number<\/strong><\/dt>\n<dd>A number is a multiple of [latex]n[\/latex] if it is the product of a counting number and [latex]n[\/latex]<\/dd>\n<dt><strong>polynomial<\/strong><\/dt>\n<dd>an algebraic term, or two or more terms, combined by addition or subtraction<\/dd>\n<dt><strong>prime number<\/strong><\/dt>\n<dd>a number whose only factors are 1 and itself<\/dd>\n<dt><strong>square of a number<\/strong><\/dt>\n<dd>if [latex]n^{2}=m[\/latex], then [latex]m[\/latex] is the square of [latex]n[\/latex]<\/dd>\n<dt><strong>square root of a number<\/strong><\/dt>\n<dd>if [latex]n^{2}=m[\/latex], then [latex]n[\/latex] is the square root of [latex]m[\/latex]<\/dd>\n<dt><strong>trinomial<\/strong><\/dt>\n<dd>a polynomial with exactly three terms<\/dd>\n<\/dl>\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-3084\">\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><strong>Authored by<\/strong>: Deborah Devlin. <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>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":25777,"menu_order":22,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"Deborah Devlin\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"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-3084","chapter","type-chapter","status-web-only","hentry"],"part":50,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3084","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/25777"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3084\/revisions"}],"predecessor-version":[{"id":5311,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3084\/revisions\/5311"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/50"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3084\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=3084"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=3084"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=3084"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=3084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}