e39465ad2f
new file: Files/flashplayer_32_sa.exe
new file: favicon.ico
new file: globe.gif
new file: imgs/download.png
new file: imgs/zuck.jpg
new file: index.html
new file: other.ico
new file: script.js
new file: site.webmanifest
new file: sitemap.html
new file: styles/backround.css
new file: styles/border.css
new file: styles/fonts/Titillium_Web/OFL.txt
new file: styles/fonts/Titillium_Web/TitilliumWeb-Black.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Bold.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-BoldItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-ExtraLight.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-ExtraLightItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Italic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Light.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-LightItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Regular.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-SemiBold.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-SemiBoldItalic.ttf
new file: styles/fonts/webfontkit-20221027-163353/generator_config.txt
new file: styles/fonts/webfontkit-20221027-163353/specimen_files/grid_12-825-55-15.css
new file: styles/fonts/webfontkit-20221027-163353/specimen_files/specimen_stylesheet.css
new file: styles/fonts/webfontkit-20221027-163353/stylesheet.css
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-demo.html
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff2
new file: styles/fonts/webfontkit-20221027-165950/generator_config.txt
new file: styles/fonts/webfontkit-20221027-165950/specimen_files/grid_12-825-55-15.css
new file: styles/fonts/webfontkit-20221027-165950/specimen_files/specimen_stylesheet.css
new file: styles/fonts/webfontkit-20221027-165950/stylesheet.css
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-demo.html
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff2
new file: styles/style.css
new file: tools/2048/.gitignore
new file: tools/2048/.jshintrc
new file: tools/2048/CONTRIBUTING.md
new file: tools/2048/LICENSE.txt
new file: tools/2048/README.md
new file: tools/2048/Rakefile
new file: tools/2048/favicon.ico
new file: tools/2048/index.html
new file: tools/2048/js/animframe_polyfill.js
new file: tools/2048/js/application.js
new file: tools/2048/js/bind_polyfill.js
new file: tools/2048/js/classlist_polyfill.js
new file: tools/2048/js/game_manager.js
new file: tools/2048/js/grid.js
new file: tools/2048/js/html_actuator.js
new file: tools/2048/js/keyboard_input_manager.js
new file: tools/2048/js/local_storage_manager.js
new file: tools/2048/js/tile.js
new file: tools/2048/meta/apple-touch-icon.png
new file: tools/webretro/cores/neocd_libretro.js
new file: tools/webretro/cores/neocd_libretro.wasm
new file: tools/webretro/cores/nestopia_libretro.js
new file: tools/webretro/cores/nestopia_libretro.wasm
new file: tools/webretro/cores/o2em_libretro.js
new file: tools/webretro/cores/o2em_libretro.wasm
new file: tools/webretro/cores/opera_libretro.js
new file: tools/webretro/cores/opera_libretro.wasm
151 lines
5.0 KiB
HTML
151 lines
5.0 KiB
HTML
<!DOCTYPE html>
|
||
<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
|
||
|
||
<!-- Mirrored from www.mathsisfun.com/numbers/subtraction-regrouping.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:58:47 GMT -->
|
||
<head>
|
||
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
|
||
|
||
<!-- #BeginEditable "doctitle" -->
|
||
<title>Subtraction by Regrouping (Borrowing)</title>
|
||
<meta name="Description" content="Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.">
|
||
|
||
<script src="../images/player.js" type="text/javascript"></script>
|
||
<link rel="stylesheet" type="text/css" href="../stylejs.css">
|
||
|
||
<!-- #EndEditable -->
|
||
<meta name="keywords" content="math, maths, mathematics, school, homework, education">
|
||
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
|
||
<meta name="HandheldFriendly" content="true">
|
||
<meta name="referrer" content="always">
|
||
<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
|
||
<link rel="preload" href="../style4.css" as="style">
|
||
<link rel="preload" href="../main4.js" as="script">
|
||
<link rel="stylesheet" href="../style4.css">
|
||
<script src="../main4.js" defer="defer"></script>
|
||
<!-- Global site tag (gtag.js) - Google Analytics -->
|
||
<script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script>
|
||
<script>
|
||
window.dataLayer = window.dataLayer || [];
|
||
function gtag(){dataLayer.push(arguments);}
|
||
gtag('js', new Date());
|
||
gtag('config', 'UA-29771508-1');
|
||
</script>
|
||
</head>
|
||
|
||
<body id="bodybg">
|
||
|
||
<div id="stt"></div>
|
||
<div id="adTop"></div>
|
||
<header>
|
||
<div id="hdr"></div>
|
||
<div id="tran"></div>
|
||
<div id="adHide"></div>
|
||
<div id="cookOK"></div>
|
||
</header>
|
||
|
||
<div class="mid">
|
||
|
||
<nav>
|
||
<div id="menuWide" class="menu"></div>
|
||
<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
|
||
|
||
<div id="search" role="search"></div>
|
||
<div id="linkto"></div>
|
||
|
||
<div id="menuSlim" class="menu"></div>
|
||
<div id="menuTiny" class="menu"></div>
|
||
</nav>
|
||
|
||
<div id="extra"></div>
|
||
|
||
<article id="content" role="main">
|
||
|
||
<!-- #BeginEditable "Body" -->
|
||
|
||
<h1 class="center">Subtraction by "Regrouping"</h1>
|
||
|
||
<p class="center"><i>(Also called "borrowing" or "trading")</i></p>
|
||
<p>To subtract numbers with more than one digit:</p>
|
||
<ul>
|
||
<li>write down the larger number first and the smaller number directly below it<br>
|
||
<b>making sure to line up the columns!</b><br>
|
||
</li>
|
||
<li>then do subtractions one column at a time like this (press play button):</li>
|
||
</ul>
|
||
|
||
<script>playerMain("images/subtract-a.txt",600,160);</script>
|
||
|
||
<h2>Smaller Number - Bigger Number</h2>
|
||
<p style="float:left; margin: 0 10px 5px 0;"><img src="images/subtract-before-borrow.gif" alt="subtract before borrow" height="111" width="97"></p>
|
||
<p>But what if a column has a <b>smaller number on the top?</b></p>
|
||
<p class="larger">How do we do <b>2 − 5</b> ?</p>
|
||
<div style="clear:both"></div>
|
||
<p><span class="large">The Solution</span>: Make the "2" larger by "regrouping" (press arrow button):</p>
|
||
|
||
<div style="width:300px; display:inline-block;">
|
||
<div class="script" style="height: 380px;">
|
||
images/moving-tens.js
|
||
</div>
|
||
</div>
|
||
|
||
<div style=" margin-left:10px; display:inline-block;">
|
||
|
||
<p>In <span class="large">32</span>:</p>
|
||
<ul>
|
||
<li>the "3" means <b>3 tens</b>,</li>
|
||
<li>the "2" means <b>2 ones</b>,</li>
|
||
</ul>
|
||
<p>So we:</p>
|
||
<ul>
|
||
<li>reduce the 3 by <b>1</b></li>
|
||
<li>increase the 2 by <b>10</b></li>
|
||
</ul>
|
||
<p>And we get:</p>
|
||
<ul>
|
||
<li><b>2 tens</b>,</li>
|
||
<li><b>12 ones</b></li>
|
||
</ul>
|
||
</div>
|
||
|
||
|
||
<div style="clear:both"></div>
|
||
<p>And here is how to do it with a pencil and paper:</p>
|
||
|
||
<script>playerMain("images/subtract-b.txt",600,200);</script>
|
||
|
||
|
||
<p>We use this method <b>whenever a column has a smaller number on top</b>, as in this example:</p>
|
||
|
||
<script>playerMain("images/subtract-c.txt",600,200);</script>
|
||
|
||
|
||
|
||
<h2>Zero</h2>
|
||
<p>But we can't regroup from <b>zero</b> ...</p>
|
||
<p>But we <b>can</b> make a "0" into a "10" by regrouping it first, them carry on normally, like this:</p>
|
||
|
||
|
||
<script>playerMain("images/subtract-d.txt",600,200);</script>
|
||
|
||
|
||
<p> </p>
|
||
<p>Now, you can practice with these <a href="../worksheets/subtraction.html">Subtraction Worksheets</a></p>
|
||
|
||
<div class="questions">1600, 1601, 3412, 3413, 1602, 1603, 3414, 3415, 2948</div>
|
||
|
||
<div class="related">
|
||
<a href="subtraction.html">Subtraction</a>
|
||
<a href="index.html">Numbers Index</a>
|
||
</div>
|
||
<!-- #EndEditable -->
|
||
|
||
</article>
|
||
|
||
<div id="adend" class="centerfull noprint"></div>
|
||
<footer id="footer" class="centerfull noprint"></footer>
|
||
<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
|
||
|
||
</div>
|
||
</body><!-- #EndTemplate -->
|
||
<!-- Mirrored from www.mathsisfun.com/numbers/subtraction-regrouping.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:58:48 GMT -->
|
||
</html> |