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<title>Order of Operations Calculator</title>
<meta name="description" content="Type in your sum to see how to solve it step by step" />
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<h1 class="center">Order of Operations Calculator</h1>
<p class="center">Type in your sum to see how to solve it step by step.
Examples: <b>2+3*4</b> or <b>3/4*3</b></p>
<script>operationsMain();</script>
<p>&nbsp;</p>
<p>&nbsp;</p>
<h2>Description</h2>
<p>Just type in sums like these (see <a href="../operation-order-pemdas.html">Order of Operations</a> for more detail):</p>
<div class="example">
<h3>Examples:</h3>
<ul>
<li><b>1+2*3</b></li>
<li><b>7 + (6 * 5^2 + 3)</b></li>
<li><b>cos(1.2^2)+3</b></li>
<li><b>(5&minus;3)(5+3)</b></li>
<li><b>( &minus;6 + √(6²&minus;4&times;5&times;1) ) / (2&times;5)</b></li>
<li><b>sqrt(3^2+4^2)</b></li>
</ul>
</div>
<p>You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution.</p>
<p>Note: there can be more than one way to find a solution.</p>
<p class="center80">The calculator is still under development and may get things <b>wrong</b>, so be careful!</p>
<h2>Tree View</h2>
<p>Press the &quot;tree&quot; button to see your sum as a tree. You would do the calculations from the top down ... sometimes you have a choice which calculation to do first.</p>
<h2><a name="functions" id="functions"></a> All Functions</h2>
<h3>Operators</h3>
<table width="100%" border="0" cellpadding="4">
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">+</th>
<td width="82%">Addition operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">-</th>
<td width="82%">Subtraction operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">*</th>
<td width="82%">Multiplication operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">/</th>
<td width="82%">Division operator</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">^</th>
<td width="82%"><a href="../exponent.html">Exponent</a> (Power) operator</td>
</tr>
</table>
<p>&nbsp;</p>
<h3>Functions</h3>
<table width="100%" border="0" cellpadding="4">
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sqrt</b></th>
<td width="82%">Square Root of a value or expression.</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sin</b></th>
<td width="82%">sine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>cos</b></th>
<td width="82%">cosine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>tan</b></th>
<td width="82%">tangent of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>asin</b></th>
<td width="82%">inverse sine (arcsine) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>acos</b></th>
<td width="82%">inverse cosine (arccos) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>atan</b></th>
<td width="82%">inverse tangent (arctangent) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>sinh</b></th>
<td width="82%">Hyperbolic sine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>cosh</b></th>
<td width="82%">Hyperbolic cosine of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>tanh</b></th>
<td width="82%">Hyperbolic tangent of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>exp</b></th>
<td width="82%"> e (the Euler Constant) raised to the power of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>ln</b></th>
<td width="82%">The natural logarithm of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%"><b>log</b></th>
<td width="82%">The base-10 logarithm of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">floor</th>
<td width="82%">Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">ceil</th>
<td width="82%">Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">abs</th>
<td width="82%">Absolute value (distance from zero) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">sign</th>
<td width="82%">Sign (+1 or &minus;1) of a value or expression</td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">&nbsp;</th>
<td width="82%">&nbsp;</td>
</tr>
</table>
<h3>Constants</h3>
<table width="100%" border="0" cellpadding="4">
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">pi</th>
<td width="82%">The constant <span class="times">&pi;</span> (3.141592654...) </td>
</tr>
<tr>
<td width="8%">&nbsp;</td>
<th width="10%">e</th>
<td width="82%">The Euler constant (2.71828...), the base for the natural logarithm</td>
</tr>
</table>
<p>&nbsp;</p>
<div class="related">
<a href="../operation-order-gems.html">Order of Operations - GEMS</a>
<a href="../operation-order-bodmas.html">Order of Operations - BODMAS</a>
<a href="../operation-order-pemdas.html">Order of Operations - PEMDAS</a>
<a href="index.html">Algebra Index</a>
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