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211 lines
7.2 KiB
HTML
211 lines
7.2 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/numbers/division.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:45:05 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Division</title>
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<style type="text/css">
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.boxa {
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text-align: center;
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display: inline-block;
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vertical-align:top;
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margin: 5px 5px 5px 5px;
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width: 230px;
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}
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</style>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<meta name="HandheldFriendly" content="true">
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<meta name="referrer" content="always">
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<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
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<link rel="preload" href="../style4.css" as="style">
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<link rel="preload" href="../main4.js" as="script">
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<link rel="stylesheet" href="../style4.css">
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<script src="../main4.js" defer="defer"></script>
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<!-- Global site tag (gtag.js) - Google Analytics -->
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<script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script>
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<script>
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window.dataLayer = window.dataLayer || [];
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function gtag(){dataLayer.push(arguments);}
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gtag('js', new Date());
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gtag('config', 'UA-29771508-1');
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="../index.html"><img src="../images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Division</h1>
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<h3>Division is splitting into equal parts or groups.</h3>
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<h3>It is the result of "fair sharing".</h3><br>
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<div class="example">
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<h3>Example: there are 12 chocolates, and 3 friends want to share them, how do they divide the chocolates?</h3>
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<div class="centerfull">
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<div class="boxa"><img src="images/chocolates-12.svg" alt="12 chocolates" height="159" width="221"><br>
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12 Chocolates</div>
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<div class="boxa"><img src="images/chocolates-12-div-3.svg" alt="12 chocolates divided into 3" height="159" width="221"><br>
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12 Chocolates Divided by 3</div>
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</div>
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<p>Answer: 12 divided by 3 is 4. They get 4 each.</p>
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</div>
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<h2>Symbols</h2>
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<div style="font-size: 72px; color: blue; float:left; padding: 30px 20px 40px 0;">÷ /</div>
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<p>We use the <b>÷</b> symbol, or sometimes the <b>/</b> symbol to mean divide:</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td class="large" align="center">12 ÷ 3 = 4<br>
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12 / 3 = 4
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</td>
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</tr>
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</tbody></table>
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<p>Let's use both symbols here so we get used to them.</p>
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<h2>More Examples</h2>
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<p>Here are some more examples:</p>
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<div class="script" style="height: 480px;">
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images/divide-simple.js
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</div>
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<h2>Opposite of Multiplying</h2>
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<p>Division is the <b>opposite of multiplying</b>. When we know a multiplication fact we can find a division fact:</p>
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<div class="example">
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<p>Example: 3 × 5 = 15, so 15 / 5 = 3.</p>
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<p>Also 15 / 3 = 5.</p>
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</div>
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<p>Why? Well, think of the numbers in rows and columns like in this illustration:</p>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="images/apples-15.svg" alt="apples 3 x 5 = 15" height="210" width="238"></p>
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<div class="simple" style="float:right; margin: 0 0 5px 10px;">
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<table style="border: 0;">
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<tbody>
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<tr>
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<th>Multiplication...</th>
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<th> </th>
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<th>...Division</th>
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</tr>
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<tr>
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<td>3 groups of 5 make 15...</td>
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<td> </td>
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<td>...so 15 divided by 3 is 5</td>
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</tr>
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<tr>
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<td colspan="3"> </td>
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</tr>
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<tr>
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<td colspan="3">
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<div class="center"><i>and also:</i></div></td>
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</tr>
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<tr>
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<td colspan="3"> </td>
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</tr>
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<tr>
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<td>5 groups of 3 make 15...</td>
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<td> </td>
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<td>...so 15 divided by 5 is 3.</td>
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</tr>
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</tbody></table>
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</div>
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<div style="clear:both"></div>
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<p>So there are <b>four related facts</b>:</p>
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<ul>
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<li>3 × 5 = 15</li>
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<li>5 × 3 = 15</li>
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<li>15 / 3 = 5</li>
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<li>15 / 5 = 3</li>
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</ul>
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<p>Knowing your <a href="../tables.html">Multiplication Tables</a> can help you with division!</p>
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<div class="example">
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<h3>Example: What is 28 ÷ 7 ?</h3>
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<p style="float:left; margin: 0 10px 5px 0;"><a href="../tables.html"><img src="images/multiplication-table-thumb.gif" alt="multiplication table thumb" height="103" width="123"></a></p>
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<p>Searching around the multiplication table we find that 28 is 4 × 7, so 28 divided by 7 must be 4.</p>
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<p class="larger">Answer: 28 ÷ 7 = 4</p> </div>
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<h2>Names</h2>
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<p>There are special names for each number in a division:</p>
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<p class="center large">dividend ÷ divisor = quotient</p><br>
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<div class="example">
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<h3>Example: in 12 ÷ 3 = 4:</h3>
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<ul>
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<li>12 is the dividend</li>
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<li>3 is the divisor</li>
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<li>4 is the quotient</li>
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</ul>
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</div><p> </p>
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<h2>But Sometimes It Does Not Work Perfectly!</h2>
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<p>Sometimes we cannot divide things up exactly ... there may be something left over.</p>
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<h3><span class="larger"><b>Example:</b> There are <b>7</b> bones to share with <b>2</b> pups.</span></h3>
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<p class="center">But 7 cannot be divided exactly into 2 groups,<br>
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so each pup gets 3 bones,<br>
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but there will be <b>1 left over</b>:</p>
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<p class="center larger"><img src="images/remainder-7-2-pups.svg" alt="7 / 2 = 3 R 1 (remainder 1)" style="max-width:100%" height="205" width="438"></p>
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<p>We call that the <b>Remainder</b>.</p>
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<p class="center larger">Read more about this at <a href="division-remainder.html">Division and Remainders</a></p>
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<h2>Exercises</h2>
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<p>Try these <a href="../worksheets/division.html">division worksheets</a>.</p>
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<div class="questions">1629, 1630, 1631, 1632, 1633, 1634, 3427, 3428, 3429, 3430</div>
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<div class="related">
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<a href="division-remainder.html">Division and Remainders</a>
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<a href="divide-blocks.html">Divide Blocks</a>
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<a href="../long_division.html">Long Division</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<div id="adend" class="centerfull noprint"></div>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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</div>
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