File "11-standard-index-form-.html"
Path: /StudyIB/mathsapplications/page/2117/11-standard-index-form-html
File size: 51.17 KB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html><html lang="EN"><head> <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-PZBWZ8J');</script> <title>1.1 Standard Index Form </title><!-- Removed by WebCopy --><!--<base href="/">--><!-- Removed by WebCopy --><meta http-equiv="x-ua-compatible" content="IE=Edge"><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1"><link href="../../../css/bootstrap.flatly.min.css" rel="stylesheet" media="screen"><link rel="stylesheet" href="../../../fonts/awesome/css/font-awesome.min.css"><link href="../../../js/jquery-fancybox/jquery.fancybox.min.css" type="text/css" rel="stylesheet"><link rel="stylesheet" href="../../../css/style.min.css?v=202301301645"><meta name="robots" content="index, follow"><meta name="googlebot" content="noarchive"><meta prefix="og: http://ogp.me/ns#" property="og:title" name="og:title" content="StudyIB Maths: Applications & Interpretations SL: 1.1 Standard Index Form"> <meta prefix="og: http://ogp.me/ns#" property="og:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta prefix="og: http://ogp.me/ns#" property="og:description" name="og:description" content="This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct and helpful way to express numbers. "> <meta prefix="og: http://ogp.me/ns#" property="og:url" name="og:url" content="https://studyib.net/mathsapplications/page/2117/11-standard-index-form-"> <meta prefix="og: http://ogp.me/ns#" property="og:site_name" name="og:site_name" content="StudyIB - Your IB learning companion"> <meta prefix="og: http://ogp.me/ns#" property="og:locale" name="og:locale" content="en"> <meta prefix="og: http://ogp.me/ns#" property="og:type" name="og:type" content="website"> <meta name="description" content="This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct and helpful way to express numbers. "> <meta name="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="keywords" content="IB, IBDP, InThinking, International Baccalaureate, Revision, Revision websites, Student Sites, Students, Learning, Guidance, Exam, Questions, Practice problems, Diagnose, Help, Notes"> <meta itemprop="name" content="StudyIB Maths: Applications & Interpretations SL: 1.1 Standard Index Form"> <meta itemprop="description" content="This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct and helpful way to express numbers. "> <meta itemprop="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:title" content="StudyIB Maths: Applications & Interpretations SL: 1.1 Standard Index Form"> <meta name="twitter:description" content="This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct and helpful way to express numbers. "> <meta name="twitter:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:creator" content="@inthinker"><link rel="stylesheet" href="../../../css/snippets.min.css?v=202209111300"><link rel="stylesheet" href="../../../css/article.min.css?v=202211221000"><style type="text/css">.filter-hl-only { display: none; }</style><script src="../../../ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script><script src="../../../js/ifvisible.min.js"></script><script>ifvisible.setIdleDuration(300);</script><link rel="apple-touch-icon-precomposed" sizes="57x57" href="../../../img/favicon/apple-touch-icon-57x57.png"> <link rel="apple-touch-icon-precomposed" sizes="114x114" href="../../../img/favicon/apple-touch-icon-114x114.png"> <link rel="apple-touch-icon-precomposed" sizes="72x72" href="../../../img/favicon/apple-touch-icon-72x72.png"> <link rel="apple-touch-icon-precomposed" sizes="144x144" href="../../../img/favicon/apple-touch-icon-144x144.png"> <link rel="apple-touch-icon-precomposed" sizes="60x60" href="../../../img/favicon/apple-touch-icon-60x60.png"> <link rel="apple-touch-icon-precomposed" sizes="120x120" href="../../../img/favicon/apple-touch-icon-120x120.png"> <link rel="apple-touch-icon-precomposed" sizes="76x76" href="../../../img/favicon/apple-touch-icon-76x76.png"> <link rel="apple-touch-icon-precomposed" sizes="152x152" href="../../../img/favicon/apple-touch-icon-152x152.png"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-196x196.png" sizes="196x196"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-96x96.png" sizes="96x96"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-32x32.png" sizes="32x32"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-16x16.png" sizes="16x16"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-128.png" sizes="128x128"> <meta name="application-name" content="StudyIB: Your IB Learning Companion"> <meta name="msapplication-TileColor" content="#A5BED5"> <meta name="msapplication-TileImage" content="/img/favicon/mstile-144x144.png"> <meta name="msapplication-square70x70logo" content="/img/favicon/mstile-70x70.png"> <meta name="msapplication-square150x150logo" content="/img/favicon/mstile-150x150.png"> <meta name="msapplication-wide310x150logo" content="/img/favicon/mstile-310x150.png"> <meta name="msapplication-square310x310logo" content="/img/favicon/mstile-310x310.png"><script>var stdHash = "6da675cbcb3d25f050b05557349abc79", stdTicket = "082b9c9c4ae3624d";</script><script src="../../../js/user/local-stats.min.js?v=202205311700"></script><link href="../../../css/subjects-frontpage.min.css?v=202302031000" rel="stylesheet"></head><body class="public mathsapplications"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PZBWZ8J" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div id="top-header"> <div class="wmap general hidden-sm hidden-xs subjects"> <div class="layout-wrapper"> <div class="container-fluid"> <a href=""> <img class="header-thinker" src="../../../img/header-thinker.svg"> </a> <h1> <a href="../../../mathsapplications.html"> <span style="font-family: 'Helvetica Narrow','Arial Narrow',Tahoma,Arial,Helvetica,sans-serif;font-stretch: condensed;letter-spacing: -1px">IBDP Maths: Applications & Interpretations SL</span> </a> <a href="https://inthinking.net" title="inthinking.net" class="inthinking-logo pull-right"> <img src="../../../img/header-logo.svg" style="height: 80px; width: auto;"> </a> </h1> <p class="slogan">InThinking Revision Sites for students</p> <p class="author">Website by <strong>Jim Noble, Rebecca Baker & Dan Pearcy</strong></p> <p class="updated">Updated 3 February 2023</p> </div> </div> </div> <nav id="public-topnav" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <a class="navbar-brand hidden-md hidden-lg" href="../../../index.htm"> <img class="header-xs-thinker" src="../../../img/header-thinker.svg"> </a> <button type="button" class="collapsed navbar-toggle" data-toggle="collapse" data-target="#subject-navbar-collapse" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <i class="fa fa-fw fa-2x fa-user"></i> </button> <div class="brand hidden-lg hidden-md hidden-sm"> <a class="brand-xs" href="../../../mathsapplications.html"> <strong class="title" style="white-space: nowrap;font-size: 18px;">Maths: A&I (SL)</strong> </a> </div> </div> <div class="collapse navbar-collapse" id="subject-navbar-collapse"> <ul class="nav navbar-bar navbar-userbox hidden-md hidden-lg"><li class="dropdown"><a href="#" class="dropdown-toggle" data-toggle="dropdown"><i class="fa fa-fw fa-lg fa-user-circle" style="margin-right: 5px;"></i><span style="font-size: 16px;"></span></a><ul class="dropdown-menu"><li class="dropdown-submenu"><a class="dropdown-toggle" href="#" data-toggle="dropdown"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class=""><a href="../../../mathsanalysis.html">DP Maths: Analysis & Approaches</a></li><li class="active"><a href="../../../mathsapplications.html"><i class="fa fa-caret-right"></i> DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="menu-item"><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li class="menu-item"><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li class="menu-item"><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li><li class="menu-item hidden-md hidden-lg mt-xs-3"><a href="../../../index.htm?logout=1" class="btn btn-primary btn-xs-block"><i class="fa fa-fw fa-lg fa-power-off text-danger"></i>Log out</a></li></ul></li></ul> <ul class="nav navbar-bar"><li class=""><a class="home" href="../../../mathsapplications.html"><i class="fa fa-fw fa-home"></i> Home</a></li><li class=""><a class="topics" href="#"><i class="fa fa-fw fa-th-large"></i> Topics</a></li><li class=""><a class="favorites" href="../../../mathsapplications.html"><i class="fa fa-fw fa-star"></i> My favorites</a></li><li class=""><a class="qbank" href="../../test-your-knowledge.html"><i class="fa fa-fw fa-question"></i> Question bank</a></li><li class=""><a class="" href="../../blogs.html"><i class="fa fa-fw fa-paperclip"></i> Blog</a></li><li class=""><a class="sitemap" href="../../sitemap.html"><i class="fa fa-fw fa-sitemap"></i> Sitemap</a></li><li class=""><a class="activity" href="../../../mathsapplications.html"><i class="fa fa-fw fa-calendar-check-o"></i> My activity</a></li></ul> <ul class="nav navbar-bar navbar-right"> <li> <form class="navbar-form hidden-md hidden-lg" role="search" method="get" action="mathsapplications/search"> <div class="input-group"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search..."> <span class="input-group-btn"> <button type="submit" class="btn bg-blue"> <i class="fa fa-search"> </i> </button> </span> </div> </form> <a href="#" class="toggle-menu-search hidden-sm hidden-xs" data-toggle="dropdown"> <i class="fa fa-lg fa-search"></i> </a> </li></ul> </div> </div></nav><nav id="nav-menu-search" class="shadow-bottom hidden-sm hidden-xs" style="display: none;"> <div class="container-fluid"> <form class="" role="search" method="get" action="mathsapplications/search"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search Maths: A&I (SL)..."> <button class="btn btn-sm btn-primary" type="submit"> Search </button> </form> </div></nav><div class="modal fade" tabindex="-1" role="dialog" id="modal-mini-login"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-body"> <button aria-hidden="true" data-dismiss="modal" class="close hidden-xs login-button-close" type="button">×</button> <form method="post"> <div class="form-group"> <input name="user-email" class="form-control" type="text" placeholder="Email"> </div> <div class="form-group"> <input name="user-password" class="form-control" type="password" placeholder="Password"> <input name="user-fp" class="fp" value="d8c893da5db7501669ffeeac46273ba6" type="hidden"> </div> <div class="form-group"> <a href="../../../reset-password.html" class="reset-password" style="font-weight: normal;"> Forgot your password? </a> </div> <div class="form-group"> <button type="submit" name="submit-login" value="1" class="btn btn-primary btn-block text-center"> <i class="fa fa-user fa-fw"></i> Log in </button> </div> </form> </div> </div> </div></div></div><div class="modal fade" id="show-topics" tabindex="-1" role="dialog"><div id="dialog-topics" class="modal-dialog modal-dialog-topics"><div class="modal-content"><div class="modal-body modal-body-topics"><div id="new-frontpage-toplevels-topics" class="frontpage-box"><div class="row"><div class="col-md-4 col-sm-4"><div class="item"><a href="../3010/free-access-weekend.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Free Access Weekend!</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/free.jpeg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1053/start-here.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Start here</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/2022-01-09_13-28-49.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../3011/examination-questions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Examination Questions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/exam.jpeg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1094/practice-questions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Practice Questions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../../img/gen-pics/mathsapplications/08.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2105/question-bank.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Question Bank</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/multiple-choice.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1054/your-graphical-display-calculator.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Your Graphical Display Calculator</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/gdc-4.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1057/number-and-algebra.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Number & Algebra</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/number-and-algebra-pic.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1061/functions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Functions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/functions.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1070/geometry-and-trigonometry.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Geometry & Trigonometry</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/trig.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1065/statistics-and-probability.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Statistics & Probability</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/prob.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1078/calculus.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Calculus</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/calc.png'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2800/pre-ib-preparation-.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Pre-IB Preparation</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/dans-images/pexels-keira-burton-6146978.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../1082/exams-assessment.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Exams & Assessment</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsapplications/images/exams2.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2928/for-teachers.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">For Teachers</h3></div><div class="body"><div class="cropper" style="background-image: url('../../georgia.png'); height: 10vw;"></div></div></a></div></div></div></div></div></div></div></div><div class="container-fluid shadow-ith"><div class="row frontpage"> <div class="col-md-3" id="left-column"> <p class="visible-xs-block"></p><div class="dropdown user-menu hidden-xs" style="margin-bottom: 20px;"> <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" style="border-radius: 0; padding: 6px 18px;"> <i class="fa fa-fw fa-user-circle"></i> <small><i class="fa fa-caret-down"></i></small> </button> <ul class="dropdown-menu"> <li class="dropdown-submenu"><a href="#"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul id="user-subjects-menu" class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class=""><a href="../../../mathsanalysis.html">DP Maths: Analysis & Approaches</a></li><li class="active"><a href="../../../mathsapplications.html"><i class="fa fa-caret-right"></i> DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="divider"></li><li><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li> <li class="divider"></li> <li> <a href="../../../index.htm?logout=1"> <i class="fa fa-fw fa-power-off"></i> Log out </a> </li> </ul></div> <div id="side-nav"><h4 class="side-nav-title dropdown"><a href="../1057/number-and-algebra.html" class="dropdown-toggle toplevel-dropdown" data-toggle="dropdown"><i class="fa fa-ellipsis-v"></i></a> <a href="../1057/number-and-algebra.html">Number and Algebra</a><ul class="dropdown-menu"><li><a href="../../../mathsapplications.html" style="padding-left: 5px; border-bottom: solid 1px #ddd"><i class="fa fa-fw fa-home"></i> Home</a></li><li><a href="../3010/free-access-weekend.html"><i class="fa fa-fw fa-caret-right"></i> Free Access Weekend!</a></li><li><a href="../1053/start-here.html"><i class="fa fa-fw fa-caret-right"></i> Start here</a></li><li><a href="../3011/examination-questions.html"><i class="fa fa-fw fa-caret-right"></i> Examination Questions</a></li><li><a href="../1094/practice-questions.html"><i class="fa fa-fw fa-caret-right"></i> Practice Questions</a></li><li><a href="../2105/question-bank.html"><i class="fa fa-fw fa-caret-right"></i> Question Bank</a></li><li><a href="../1054/your-graphical-display-calculator.html"><i class="fa fa-fw fa-caret-right"></i> Your Graphical Display Calculator</a></li><li><a href="../1061/functions.html"><i class="fa fa-fw fa-caret-right"></i> Functions</a></li><li><a href="../1070/geometry-and-trigonometry.html"><i class="fa fa-fw fa-caret-right"></i> Geometry and Trigonometry</a></li><li><a href="../1065/statistics-and-probability.html"><i class="fa fa-fw fa-caret-right"></i> Statistics and Probability</a></li><li><a href="../1078/calculus.html"><i class="fa fa-fw fa-caret-right"></i> Calculus</a></li><li><a href="../2800/pre-ib-preparation-.html"><i class="fa fa-fw fa-caret-right"></i> Pre-IB Preparation </a></li><li><a href="../1082/exams-assessment.html"><i class="fa fa-fw fa-caret-right"></i> Exams & Assessment</a></li><li><a href="../2928/for-teachers.html"><i class="fa fa-fw fa-caret-right"></i> For Teachers</a></li></ul><div class="pull-right"><a class="sidenav-expand" title="Expand all" href="#"><i class="fa fa-plus-circle"></i></a> <a class="sidenav-compress" title="Compress all" href="#"><i class="fa fa-minus-circle"></i></a></div></h4><ul class="side-nav level-0"><li class="expanded parent selected"><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="11-standard-index-form-.html">1.1 Standard Index Form </a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2262/12-arithmetic-sequences-and-series.html">1.2 Arithmetic Sequences and Series</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2203/13-geometric-sequences-and-series.html">1.3 Geometric Sequences and Series</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2786/14-17-compound-interest-loans-and-annuities.html">1.4 & 1.7 Compound Interest, Loans and Annuities</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../1998/15-exponents-and-logarithms.html">1.5 Exponents and Logarithms</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2121/16-accuracy-and-estimation.html">1.6 Accuracy and Estimation</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../1058/prior-knowledge-sets-of-numbers.html">Prior Knowledge - Sets of Numbers</a></label></li></ul></div> <div class="hidden-xs hidden-sm"> <button class="btn btn-default btn-block text-xs-center" data-toggle="modal" data-target="#modal-feedback" style="margin-bottom: 10px"><i class="fa fa-send"></i> Feedback</button> </div> </div> <div class="col-md-9" id="main-column"> <h1 class="page_title"> 1.1 Standard Index Form <a href="#" class="mark-page-favorite pull-right" data-pid="2117" title="Mark as favorite" onclick="return false;"><i class="fa fa-star-o"></i></a> </h1> <ol class="breadcrumb"> <li><a href="../../../mathsapplications.html"><i class="fa fa-home"></i></a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><a href="../1057/number-and-algebra.html">Number and Algebra</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><span class="gray">1.1 Standard Index Form </span></li> <span class="pull-right" style="color: #555" title="Suggested study time: 30 minutes"><i class="fa fa-clock-o"></i> 30'</span> </ol> <article id="main-article"> <div class="intro-card"> <div class="bg-cover" style="background-image: url('/media/mathsapplications/atom.png');"> </div> <img src="../../atom-1.png" style="display: none"> <div class="content"> <h3 class="theading"><span class="math-tex">\(a \times 10^k, \space where \space 1 \leq a<10 \space and \space k\in \mathbb{Z}\)</span></h3> <p class="text">This is a small sup-topic to introduce or recap numbers in standard form. We will learn how to convert between numbers in standard form and base form, alongside learning how to operate with this succinct and helpful way to express numbers. </p> </div> </div> <div class="panel panel-has-colored-body panel-turquoise"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Key Concepts</p> </div> </div> <div class="panel-body"> <p><span id="docs-internal-guid-fe8981b2-7fff-c3b0-0f29-5660053639d1"></span></p> <p dir="ltr"><span id="docs-internal-guid-fe8981b2-7fff-c3b0-0f29-5660053639d1">In this unit you should learn to…</span></p> <ul style="list-style-type:disc;"> <li aria-level="1" dir="ltr"> <p dir="ltr" role="presentation">Convert numbers from standard form to normal form and vice versa. </p> </li> <li aria-level="1" dir="ltr"> <p dir="ltr" role="presentation">Apply your understanding of standard form in applications questions. </p> </li> </ul> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Essentials</p> </div> </div> <div class="panel-body"> <h3>Learn about it</h3> <p>The following is a series of videos that will help you understand, learn about and review this sub-topic.</p> <div class="panel panel-has-colored-body panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p> 1. Introducing Standard Form</p> </div> </div> <div class="panel-body"> <div> <p>Why do we need a different way of representing numbers? What pre-requisite knowledge do I need to be able to access this topic?</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/413907833"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-yellow panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p> 2. Converting numbers</p> </div> </div> <div class="panel-body"> <div> <p>Can you convert a number from standard form to normal form? What about the other way around?</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/413908435"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-yellow panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>3. Specifying Numbers in Standard Form</p> </div> </div> <div class="panel-body"> <p>Let's be a little more specific on the exact definition of numbers in standard form.</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/413909365"></iframe></div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-yellow panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>4. Applications of Standard Form</p> </div> </div> <div class="panel-body"> <div> <p>Three problems which highlight important aspects of using standard form in applied questions.</p> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/413909793"></iframe></div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-violet"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Summary</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/flashcard.png" style="width: 875px; height: 490px; float: right;"></p> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-green"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Test yourself</p> </div> </div> <div class="panel-body"> <div> <h4>Quiz</h4> <p>Practice your understanding on these quiz questions. Check your answers when you are done and read the worked solutions when you get stuck. If you find there are still some gaps in your understanding then go back to the videos above<em>.</em></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="tib-quiz" data-stats="15-456-2117"><div class="label label-default q-number">1</div><div class="exercise shadow-bottom"><div class="q-question"><p>Convert the speed of light, <span class="math-tex">\(300000000\space ms^{-1}\)</span>, into standard form. </p></div><div class="q-answer"><p><label class="radio"><input type="radio"> <span class="math-tex">\(3\times10^{7}\)</span></label></p><p><label class="radio"><input class="c" type="radio"> <span class="math-tex">\(3\times10^{8}\)</span></label></p><p><label class="radio"><input type="radio"> <span class="math-tex">\(0.3\times10^{9}\)</span></label></p><p><label class="radio"><input type="radio"> <span class="math-tex">\(30\times10^{7}\)</span></label></p></div><div class="q-explanation"><p>The first number has to be a number between <span class="math-tex">\(1\)</span> and <span class="math-tex">\(10\)</span>(<span class="math-tex">\(10\)</span> not included). If we insert a decimal point after the digit <span class="math-tex">\(3\)</span>, then count how many times we must move that point to get to the end of the number, that provides the power of <span class="math-tex">\(10\)</span> required.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">2</div><div class="exercise shadow-bottom"><div class="q-question"><p>Write 50200 in the form <span class="math-tex">\(a\times 10^{k}, where\space 1\leq a<10\space and\space k \in \mathbb{Z}\)</span>.</p></div><div class="q-answer"><p><label class="radio"> <input class="c" type="radio"> <span><span class="math-tex">\(5.02\times10^{4}\)</span></span></label> </p><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(5.02\times10^{3}\)</span></span></label> </p><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(5\times10^{4}\)</span></span></label> </p><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(5.2\times10^{4}\)</span></span></label> </p></div><div class="q-explanation"><p>The first number has to be a number between <span class="math-tex">\(1\)</span> and <span class="math-tex">\(10\)</span>(<span class="math-tex">\(10\)</span> not included). If we insert a decimal point after the digit <span class="math-tex">\(5\)</span>, then count how many times we must move that point to get to the end of the number, that provides the power of <span class="math-tex">\(10\)</span> required.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">3</div><div class="exercise shadow-bottom"><div class="q-question"><p>The population of Beijing is approximately <span class="math-tex">\(21.5\)</span> million people. Write this in standard form.</p></div><div class="q-answer"><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(21.5\times10^{6}\)</span></span></label> </p><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(2.15\times10^{6}\)</span></span></label> </p><p><label class="radio"> <input type="radio"> <span><span class="math-tex">\(21.5\times10^{7}\)</span></span></label> </p><p><label class="radio"> <input class="c" type="radio"> <span><span class="math-tex">\(2.15\times10^{7}\)</span></span></label> </p></div><div class="q-explanation"><p>Since <span class="math-tex">\(1\)</span> million is <span class="math-tex">\(10^6\)</span>, we start by writing the number as <span class="math-tex">\(21.5\times10^{6}\)</span>. The first number has to be a number between <span class="math-tex">\(1\)</span> and <span class="math-tex">\(10\)</span>(<span class="math-tex">\(10\)</span> not included), we must divide it by <span class="math-tex">\(10\)</span>. To balance out that division so as not to change the number, we must multiply <span class="math-tex">\(10^6\)</span> by <span class="math-tex">\(10\)</span>. This gives the answer shown.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">4</div><div class="exercise shadow-bottom"><div class="q-question"><p>Convert <span class="math-tex">\(1.2\times10^{3}\)</span> into normal form.</p></div><div class="q-answer"><p><input type="text" style="height: auto;" data-c="1200"> <span class="review"></span> </p></div><div class="q-explanation"><p>Start by writing out the first number, <span class="math-tex">\(1.2\)</span>, and since the power is <span class="math-tex">\(3\)</span>, move the decimal point to the right <span class="math-tex">\(3\)</span> places. Then fill in the gaps with zeros.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">5</div><div class="exercise shadow-bottom"><div class="q-question"><p>Convert <span class="math-tex">\(5.5\times10^{-4}\)</span> into normal form.</p></div><div class="q-answer"><p><input type="text" style="height: auto;" data-c="0.00055"> <span class="review"></span> </p></div><div class="q-explanation"><p>Start by writing out the first number, <span class="math-tex">\(5.5\)</span>, and since the power is minus <span class="math-tex">\(4\)</span>, move the decimal point to the left <span class="math-tex">\(4\)</span> places. Then fill in the gaps with zeros.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">6</div><div class="exercise shadow-bottom"><div class="q-question"><p>The average width of a red blood cell is <span class="math-tex">\(0.006\space mm\)</span>. Write this in the form <span class="math-tex">\(a\times 10^{k}, where\space 1\leq a<10\space and\space k \in \mathbb{Z}\)</span>.</p></div><div class="q-answer"><p><label class="radio"><input type="radio"> <span class="math-tex">\(0.6\times10^4\)</span></label></p><p><label class="radio"><input class="c" type="radio"> <span class="math-tex">\(6\times10^{-3}\)</span></label></p><p><label class="radio"><input type="radio"> <span class="math-tex">\(6\times10^4\)</span></label></p></div><div class="q-explanation"><p>The first number has to be a number between <span class="math-tex">\(1\)</span> and <span class="math-tex">\(10\)</span>(<span class="math-tex">\(10\)</span> not included). If we insert a decimal point after the digit <span class="math-tex">\(6\)</span>, then count how many times we must move that point to get to the decimal, that provides the power of <span class="math-tex">\(10\)</span> required.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">7</div><div class="exercise shadow-bottom"><div class="q-question"><p>How many zeros are there beteen the decimal point and the first significant figure of <span class="math-tex">\(4.63\times10^{-12}\)</span>?</p></div><div class="q-answer"><p><input type="text" style="height: auto;" data-c="11"> <span class="review"></span> </p></div><div class="q-explanation"><p>The number given is <span class="math-tex">\(0.00000000000463\)</span>. There are <span class="math-tex">\(11\)</span> zeros between the decimal point and the first significant figure. </p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">8</div><div class="exercise shadow-bottom"><div class="q-question"><p>Water flows through a tube at a rate of <span class="math-tex">\(12\space ms^{-1}\)</span>. How long will it take to fill a pool with volume <span class="math-tex">\(1.7\times10^{3}\space m^{3}\)</span>? Leave your answer to the nearest second. </p></div><div class="q-answer"><p><input type="text" style="height: auto;" data-c="142"> <span class="review"></span> </p></div><div class="q-explanation"><p>Division: <span class="math-tex">\((1.7\times10^{3})\div12=141.667 s\)</span>. The answer is shown to the nearest second. </p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">9</div><div class="exercise shadow-bottom"><div class="q-question"><p>It takes light approximately 8 minutes to reach the Earth from the Sun. If light travels at <span class="math-tex">\(3\times10^{8}\space ms^{-1}\)</span>, calculate the distance between the Earth and the Sun. Give your answer in km, written in standard form.</p></div><div class="q-answer"><p><label class="radio"><input type="radio"> <span class="math-tex">\(1.8\times10^{10}\space km\)</span></label></p><p><label class="radio"><input class="c" type="radio"> <span class="math-tex">\(1.44\times10^{8}\space km\)</span></label></p><p><label class="radio"><input type="radio"> <span class="math-tex">\(1.44\times10^{11}\space km\)</span></label></p><p><label class="radio"><input type="radio"> <span class="math-tex">\(2.4\times10^{6}\space km\)</span></label></p></div><div class="q-explanation"><p>Since <span class="math-tex">\(8\)</span> minutes is <span class="math-tex">\(420\)</span> seconds, multiply <span class="math-tex">\(3\times10^{8}\times420=1.44\times10^{11}\space m\)</span>. To change metres into kilometres, we divide by <span class="math-tex">\(1000\)</span>. However, dividing by <span class="math-tex">\(10^{3}\)</span> is equivalent to subtracting <span class="math-tex">\(3\)</span> from the power, leaving <span class="math-tex">\(1.44\times10^{8}\space km\)</span>.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">10</div><div class="exercise shadow-bottom"><div class="q-question"><p>Write <span class="math-tex">\(600.7\times10^{-6}\)</span> the form <span class="math-tex">\(a\times 10^{k}, where\space 1\leq a<10\space and\space k \in \mathbb{Z}\)</span>.</p></div><div class="q-answer"><p><span class="math-tex">\(a=\)</span> <input type="text" style="height: auto;" data-c="6.007"> <span class="review"></span> </p><p><span class="math-tex">\(k=\)</span> <input type="text" style="height: auto;" data-c="-4"> <span class="review"></span> </p></div><div class="q-explanation"><p>Since the first number has to be a number between <span class="math-tex">\(1\)</span> and <span class="math-tex">\(10\)</span>(<span class="math-tex">\(10\)</span> not included), we must divide it by <span class="math-tex">\(100\)</span> or <span class="math-tex">\(10^{2}\)</span>. To balance out that division so as not to change the number, we must multiply <span class="math-tex">\(10^{-6}\)</span> by <span class="math-tex">\(10^2\)</span>. This gives the answer shown.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="totals"><span class="score"></span><button class="btn btn-success btn-block text-center check-total"><i class="fa fa-check-square-o"></i> Check</button></div></div><hr> </section> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following questions are based on IB exam style questions from past exams. You should print these off (from the document at the top) and try to do these questions under exam conditions. Then you can check your work with the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/q1(2).png" style="width: 600px; height: 193px;"></p> <p>Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/415269598"></iframe></div> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p> Question 2</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/q2.png" style="width: 600px; height: 264px;"></p> <p>Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/415269841"></iframe></div> </section> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <div> <p><img alt="" src="../../images/q3.png" style="width: 600px; height: 196px;"></p> <p>Video Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/415270058"></iframe></div> </section> </div> </div> </div> </div> </div> <div class="page-container panel-self-assessment" data-id="2117"> <div class="panel-heading">MY PROGRESS</div> <div class="panel-body understanding-rate"> <div class="msg"></div> <label class="label-lg">Self-assessment</label><p>How much of <strong>1.1 Standard Index Form </strong> have you understood?</p><div class="slider-container text-center"><div id="self-assessment-slider" class="sib-slider self-assessment " data-value="1" data-percentage=""></div></div> <label class="label-lg">My notes</label> <textarea name="page-notes" class="form-control" rows="3" placeholder="Write your notes here..."></textarea> </div> <div class="panel-footer text-xs-center"> <span id="last-edited" class="mb-xs-3"> </span> <div class="actions mt-xs-3"> <button id="save-my-progress" type="button" class="btn btn-sm btn-primary text-center btn-xs-block"> <i class="fa fa-fw fa-floppy-o"></i> Save </button> </div> </div></div> <div id="modal-feedback" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h4 class="modal-title">Feedback</h4> <button type="button" class="close hidden-xs hidden-sm" data-dismiss="modal" aria-label="Close"> <span aria-hidden="true">×</span> </button> </div> <div class="modal-body"> <div class="errors"></div> <p><strong>Which of the following best describes your feedback?</strong></p> <form method="post" style="overflow: hidden"> <div class="form-group"> <div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Recommendation"> Recommend</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Problem"> Report a problem</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Improvement"> Suggest an improvement</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Other"> Other</label></div> </div> <hr> <div class="row"> <div class="col-md-6"> <div class="form-group"> <label for="feedback-name">Name</label> <input type="text" class="form-control" name="feedback-name" placeholder="Name" value=" "> </div> </div> <div class="col-md-6"> <div class="form-group"> <label for="feedback-email">Email address</label> <input type="email" class="form-control" name="feedback-email" placeholder="Email" value="@airmail.cc"> </div> </div> </div> <div class="form-group"> <label for="feedback-comments">Comments</label> <textarea class="form-control" name="feedback-comments" style="resize: vertical;"></textarea> </div> <input type="hidden" name="feedback-ticket" value="082b9c9c4ae3624d"> <input type="hidden" name="feedback-url" value="https://studyib.net/mathsapplications/page/2117/11-standard-index-form-"> <input type="hidden" name="feedback-subject" value="15"> <input type="hidden" name="feedback-subject-name" value="Maths: Applications & Interpretations SL"> <div class="pull-left"> </div> </form> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary btn-xs-block feedback-submit mb-xs-3 pull-right"> <i class="fa fa-send"></i> Send </button> <button type="button" class="btn btn-default btn-xs-block m-xs-0 pull-left" data-dismiss="modal"> Close </button> </div> </div> </div></div> </article> <hr class="hidden-md hidden-lg"> <div class="hidden-md hidden-lg mt-xs-3"> <button class="btn btn-default btn-block text-xs-center" data-toggle="modal" data-target="#modal-feedback" style="margin-bottom: 10px"><i class="fa fa-send"></i> Feedback</button> </div> </div> <input type="hidden" id="user-id" value="38342"></div><input id="ticket" type="hidden" value="082b9c9c4ae3624d"><input id="tzoffset" type="hidden" value="new"><input id="fp" class="fp" type="hidden" value=""></div><div id="std-footer"> <div class="wmap"> <div class="layout-wrapper"> <p> <a href="https://www.inthinking.net"> © <span id="footer-year"></span> <em>InThinking</em> <script>document.getElementById("footer-year").innerHTML = new Date().getFullYear();</script> </a> | <a target="_self" href="../../../about.html"> About us </a> | <a target="_self" href="../../../terms-and-conditions.html"> Legal </a> | <a target="_self" href="../../../contact.html"> Contact </a> </p> <p> <a class="social" target="_blank" href="https://twitter.com/#!/inthinker"> <img src="../../../img/social/twitter-square.svg"> Twitter </a> <a class="social" target="_blank" href="https://www.facebook.com/inthinking.net"> <img src="../../../img/social/facebook-square.svg"> Facebook </a> <a class="social" target="_blank" href="https://www.linkedin.com/profile/view?id=139741989"> <img src="../../../img/social/linkedin-square.svg"> LinkedIn </a> </p> </div> </div></div><script src="../../../js/jquery-1.11.3.min.js"></script><script src="../../../js/bootstrap.min.js"></script><script src="../../../js/jquery-fancybox/jquery.fancybox.min.js"></script><script>var pageId = 2117;</script><script type="text/javascript" src="../../../js/jqueryui/jquery-ui-custom.min.js"></script><script type="text/javascript" src="../../../js/jqueryui/jquery.ui.touch-punch.js"></script><script type="text/javascript" src="../../../js/std-quizzes-helpers.min.js?v=20220406"></script><script type="text/javascript" src="../../../js/std-quizzes.min.js?v=2022041300"></script><script type="text/javascript" src="../../../js/jqueryui/jquery-ui.min.js"></script><script type="text/javascript" src="../../../js/jqueryui/jquery.ui.touch-punch.min.js"></script><script src="../../../js/user/page-my-progress.min.js?v=202211221000"></script><script>var sAJAX='/pages/subjects/activity/user-stats-page.php?t=082b9c9c4ae3624d&p=2117&s=15&x=23910';var sData='k4iA6GSB03BgPm14OUubIxiA6GSB0bfq7Y9FwFiA6GSBPFAF7YcHEKvrZ0fREzP5Pmu2OzpUSYc2EYc4ExpiWnfBkxpYWbi8PxPRPHpsE3KeSYcH74P5EncR739RPnLsSYK4ZGcR74P5EncR739RPHaL6nfhWGcjWFP5PFPRPHpsSYlFwFi7I3LsSYsD60pAWYBm60fjW3qD0xvA6GSB0xX4OUub0xXyOzLDSYc2EYc4ExLjWnfBkxLnWbi8Iziv';var loopSecs = 30;var minSecsLog = 60;var lsKey = '15-83609-2117';</script><script src="../../../js/subjects/activity/user-stats-page.min.js?v=202205311700"></script><script src="../../../js/subjects/activity/my-favorites.min.js?v=20220610"></script><script src="../../../js/subjects/feedback.min.js?v=202211221000"></script><script>var sessionUpdateSecs = 300;</script><script type="text/javascript" src="../../../js/session-updater.js"></script><script>(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');ga('create', 'UA-98480796-1', 'auto');ga('send', 'pageview');</script><script src="../../../js/devicefp/devicefp.min.js"></script><script src="../../../js/jq-quickfit/jq-quickfit.min.js?v=20220201"></script><script src="../../../js/frontpage-subjects.min.js?v=202211161300"></script><script type="text/javascript" src="../../../js/studyib-jq.min.js?v=202211241300"></script><script type="text/javascript">$(document).ready(function(){ $('#trigger-modal-video-overview').click(function() { if( $('#modal-video-overview .modal-body iframe').attr('src').length == 0 ) { $('#modal-video-overview .modal-body iframe').attr('src', 'https://www.youtube.com/embed/hxxtdiLdTFk?rel=0'); } }); $('#modal-video-overview').on('hidden.bs.modal', function() { $('#modal-video-overview .modal-body iframe').attr('src', ''); }); });</script></body></html>