{"id":168168,"date":"2024-11-16T19:43:13","date_gmt":"2024-11-16T19:43:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168168"},"modified":"2024-11-16T19:43:15","modified_gmt":"2024-11-16T19:43:15","slug":"what-is-the-expanded-form-of-this-number-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/what-is-the-expanded-form-of-this-number-2\/","title":{"rendered":"What is the expanded form of this number"},"content":{"rendered":"\n<p>What is the expanded form of this number?<br>18.029<\/p>\n\n\n\n<p>(1\u00d710)+(8\u00d71)+(2\u00d71100)+(9\u00d71100)<\/p>\n\n\n\n<p>(1\u00d710)+(8\u00d71)+(2\u00d7110)+(9\u00d71100)<\/p>\n\n\n\n<p>(1\u00d710)+(8\u00d71)+(2\u00d7110)+(9\u00d711,000)<\/p>\n\n\n\n<p>(1\u00d710)+(8\u00d71)+(2\u00d71100)+(9\u00d711,000)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct expanded form of the number <strong>18.029<\/strong> is:<\/p>\n\n\n\n<p><strong>(1\u00d710) + (8\u00d71) + (0\u00d70.1) + (2\u00d70.01) + (9\u00d70.001)<\/strong><\/p>\n\n\n\n<p>Let\u2019s break down the components of the number <strong>18.029<\/strong> step by step and explain how we derive the expanded form.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding the Place Value System<\/h3>\n\n\n\n<p>In the number <strong>18.029<\/strong>, we have:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>18<\/strong> in the whole number part (before the decimal point).<\/li>\n\n\n\n<li><strong>.029<\/strong> in the decimal part (after the decimal point).<\/li>\n<\/ul>\n\n\n\n<p>To expand the number, we must recognize the place value of each digit in both the whole number and decimal parts:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1<\/strong> is in the tens place (value of 10).<\/li>\n\n\n\n<li><strong>8<\/strong> is in the ones place (value of 1).<\/li>\n\n\n\n<li><strong>0<\/strong> is in the tenths place (value of 0.1), but since it&#8217;s zero, it doesn&#8217;t contribute to the sum.<\/li>\n\n\n\n<li><strong>2<\/strong> is in the hundredths place (value of 0.01).<\/li>\n\n\n\n<li><strong>9<\/strong> is in the thousandths place (value of 0.001).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Writing the Expanded Form<\/h3>\n\n\n\n<p>To write the expanded form of <strong>18.029<\/strong>, you multiply each digit by its respective place value:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>1<\/strong> is in the tens place, so its value is <strong>1\u00d710<\/strong>.<\/li>\n\n\n\n<li>The <strong>8<\/strong> is in the ones place, so its value is <strong>8\u00d71<\/strong>.<\/li>\n\n\n\n<li>The <strong>0<\/strong> is in the tenths place, but it has no contribution, so we omit it from the expanded form.<\/li>\n\n\n\n<li>The <strong>2<\/strong> is in the hundredths place, so its value is <strong>2\u00d70.01<\/strong>.<\/li>\n\n\n\n<li>The <strong>9<\/strong> is in the thousandths place, so its value is <strong>9\u00d70.001<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the expanded form of <strong>18.029<\/strong> is:<\/p>\n\n\n\n<p>[<br>(1\u00d710) + (8\u00d71) + (0\u00d70.1) + (2\u00d70.01) + (9\u00d70.001)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Interpreting the Expanded Form<\/h3>\n\n\n\n<p>The expanded form represents the number as the sum of its individual place values. By writing it this way, we can better understand the contribution of each digit to the overall number. Here&#8217;s how it breaks down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1\u00d710<\/strong> represents the ten\u2019s place (10).<\/li>\n\n\n\n<li><strong>8\u00d71<\/strong> represents the one\u2019s place (8).<\/li>\n\n\n\n<li><strong>2\u00d70.01<\/strong> represents the hundredths place (0.02).<\/li>\n\n\n\n<li><strong>9\u00d70.001<\/strong> represents the thousandths place (0.009).<\/li>\n<\/ul>\n\n\n\n<p>Adding these together:<\/p>\n\n\n\n<p>[<br>(1\u00d710) + (8\u00d71) + (2\u00d70.01) + (9\u00d70.001) = 10 + 8 + 0.02 + 0.009 = 18.029<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Conclusion<\/h3>\n\n\n\n<p>Therefore, the expanded form of <strong>18.029<\/strong> is correctly written as:<\/p>\n\n\n\n<p>[<br>(1\u00d710) + (8\u00d71) + (0\u00d70.1) + (2\u00d70.01) + (9\u00d70.001)<br>]<\/p>\n\n\n\n<p>This explanation helps clarify how the number is broken down into its place values. Each digit contributes to the overall sum in the appropriate place value, allowing us to represent the number in an expanded form.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the expanded form of this number?18.029 (1\u00d710)+(8\u00d71)+(2\u00d71100)+(9\u00d71100) (1\u00d710)+(8\u00d71)+(2\u00d7110)+(9\u00d71100) (1\u00d710)+(8\u00d71)+(2\u00d7110)+(9\u00d711,000) (1\u00d710)+(8\u00d71)+(2\u00d71100)+(9\u00d711,000) The Correct Answer and Explanation is: The correct expanded form of the number 18.029 is: (1\u00d710) + (8\u00d71) + (0\u00d70.1) + (2\u00d70.01) + (9\u00d70.001) Let\u2019s break down the components of the number 18.029 step by step and explain how we derive the expanded [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-168168","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168168","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=168168"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168168\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}