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<h1 align="center">Basic Math Definitions</h1>
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<table border="0" align="center">
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<tr>
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<td>We have collected some basic definitions on this page. <br>
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For lots more definitions, explanations, etc, use search above.</td>
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</tr>
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<tr>
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<td> </td>
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</tr>
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<tr>
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<td>Or look up your word in the:</td>
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</tr>
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<tr>
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<td align="center"><a href="definitions/index.html">Illustrated Mathematics Dictionary</a></td>
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</tr>
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<tr>
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<td align="center"><table border="0" align="center">
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<tr>
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<td width="20"><a href="definitions/letter-a.html">A</a></td>
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<td width="20"><a href="definitions/letter-b.html">B</a></td>
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<td width="20"><a href="definitions/letter-c.html">C</a></td>
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<td width="20"><a href="definitions/letter-d.html">D</a></td>
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<td width="20"><a href="definitions/letter-e.html">E</a></td>
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<td width="20"><a href="definitions/letter-f.html">F</a></td>
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<td width="20"><a href="definitions/letter-g.html">G</a></td>
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<td width="20"><a href="definitions/letter-h.html">H</a></td>
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<td width="20"><a href="definitions/letter-i.html">I</a></td>
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<td width="20"><a href="definitions/letter-j.html">J</a></td>
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<td width="20"><a href="definitions/letter-k.html">K</a></td>
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<td width="20"><a href="definitions/letter-l.html">L</a></td>
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<td width="20"><a href="definitions/letter-m.html">M</a></td>
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<td width="20"><a href="definitions/letter-n.html">N</a></td>
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<td width="20"><a href="definitions/letter-o.html">O</a></td>
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<td width="20"><a href="definitions/letter-p.html">P</a></td>
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<td width="20"><a href="definitions/letter-q.html">Q</a></td>
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<td width="20"><a href="definitions/letter-r.html">R</a></td>
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<td width="20"><a href="definitions/letter-s.html">S</a></td>
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<td width="20"><a href="definitions/letter-t.html">T</a></td>
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<td width="20"><a href="definitions/letter-u.html">U</a></td>
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<td width="20"><a href="definitions/letter-v.html">V</a></td>
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<td width="20"><a href="definitions/letter-w.html">W</a></td>
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<td width="20"><a href="definitions/letter-x.html">X</a></td>
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<td width="20"><a href="definitions/letter-y.html">Y</a></td>
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<td width="20"><a href="definitions/letter-z.html">Z</a></td>
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</tr>
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</table></td>
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</tr>
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</table>
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<h2>The Basic Operations</h2>
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<p>In basic mathematics there are many ways of saying the same thing:</p>
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<div class="simple">
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<table border="0" align="center">
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<tr>
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<th width="100"> <div align="center">Symbol</div>
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</th>
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<th> <div align="left">Words Used</div>
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</th>
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</tr>
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<tr height="42">
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<td class="huge"><div align="center"><b>+</b></div></td>
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<td height="42"><a href="numbers/addition.html">Addition</a>, Add, Sum, Plus, Increase, Total</td>
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</tr>
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<tr height="42">
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<td class="huge"><div align="center"><b>−</b></div></td>
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<td><a href="numbers/subtraction.html">Subtraction</a>, Subtract, Minus, Less, Difference, Decrease, Take Away, Deduct</td>
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</tr>
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<tr height="42">
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<td class="huge"><div align="center"><b>×</b></div></td>
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<td><a href="tables.html">Multiplication</a>, Multiply, Product, By, Times, Lots Of</td>
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</tr>
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<tr height="42">
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<td class="huge"><div align="center"><b>÷</b></div></td>
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<td><a href="numbers/division.html">Division</a>, Divide, Quotient, Goes Into, How Many Times</td>
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</tr>
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</table>
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</div>
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<h2>Addition is ...</h2>
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<p class="center">... bringing two or more numbers (or things) together to make a new total.</p>
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<p>The numbers to be added together are called the "<b>Addends</b>":</p>
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<p class="center"><img src="numbers/images/addition.svg" alt="addition" /></p>
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<h2>Subtraction is ...</h2>
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<p class="center">... taking one number away from another.</p>
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<p class="center"><b><img src="numbers/images/subtraction.svg" alt="Minuend - Subtrahend = Difference" /><br />
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<br />
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Minuend − Subtrahend = Difference</b></p>
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<p><b>Minuend</b>: The number that is to be subtracted from.<br />
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<b>Subtrahend</b>: The number that is to be subtracted.<br />
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<b>Difference</b>: The result of subtracting one number from another.</p>
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<h2>Multiplication is ...</h2>
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<p class="center">... (in its simplest form) <b>repeated addition</b>. </p>
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<p class="center">Here we see that 6+6+6 (three 6s) make 18:</p>
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<p class="center"><img src="numbers/images/multiply.svg" alt="multiplication" /></p>
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<p class="center">It can also be said that 3+3+3+3+3+3 (six 3s) make 18</p>
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<p>But we can also multiply by fractions or decimals, which goes beyond the simple idea of repeated addition:</p>
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<div class="example">
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<p>Example: <b>3.5 × 5 = 17.5</b> </p>
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<p>which is 3.5 lots of 5, or 5 lots of 3.5 </p>
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</div>
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<h2>Division is ...</h2>
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<p class="center">... splitting into equal parts or groups. It is the result of "fair sharing".</p>
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<p>Division has its own special words to remember. </p>
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<p>Let's take the simple question of <b>22 divided by 5</b>. The answer is <b>4</b>, with <b>2</b> left over. </p>
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<p>Here we see the important words:</p>
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<p align="center"><img src="numbers/images/division-wide.svg" alt="22(dividend) divided by 5(divisor) equals 4(quotient) R 2(remainder)" style="max-width:100%" /></p>
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<p>Which can also be in this form:</p>
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<p align="center"><img src="numbers/images/division-long.svg" alt="5(divisor) into 22(dividend) is 4(quotient) R 2(remainder)" /></p> <h2>A Fraction is ...</h2>
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<p class="center">... part of a whole. </p>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="numbers/images/fraction.svg" alt="fraction" /></p>
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<p>The top part (the numerator) says <b>how many parts we have</b>.</p>
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<p>The bottom part (the denominator) says <b>how many parts the whole is divided into</b>. </p>
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<p>See <a href="fractions-menu.html">Fractions</a> for more details.</p>
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<h2>A Decimal Number is ...</h2>
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<p class="center">... a number
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that contains a Decimal Point.</p>
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<p class="center"><img src="numbers/images/decimal.svg" alt="decimal number" /></p>
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<p>See <a href="decimals-menu.html">Decimals</a> for more details.</p>
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<h2>A Percentage is ...</h2>
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<p class="center">... parts per 100. The symbol is <span class="large">% </span></p>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="numbers/images/percent-grid-25.svg" alt="grid 25 of 100 equals 25%" /></p>
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<p>Example: 25% means 25 per 100 (25% of this box is green)</p>
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<div style="clear:both"></div>
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<p>See <a href="percentage-menu.html">Percentages</a> for more details.</p>
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<h2>Average (Mean) is ...</h2>
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<p class="center">... the <b>sum</b> divided by the <b>count</b>.</p>
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<p>We calculate the average by <b>adding up all the values</b>, then divide by <b>how many values</b>.</p>
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<div class="example">
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<h3>Example: What is the average of 9, 2, 12 and 5?</h3>
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<p>Add up all the values: 9 + 2 + 12 + 5 = 28</p>
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<p>Divide by how many values (there are four of them): 28 ÷ 4 = <b>7</b> </p>
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<p>So the average is <b>7</b></p>
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</div>
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<p>See <a href="mean.html">Mean</a> for more details. </p>
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<p> </p>
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<div class="related"><a href="definitions/index.html">Illustrated Mathematics Dictionary</a> <a href="numbers/index.html">Numbers Index</a></div>
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