<h2>Translate Word Phrases to Math Notation</h2>
<p>As with addition, word phrases can tell us to operate on two numbers using subtraction. To translate from a word phrase to math notation, we look for keywords that indicate subtraction. Some of the words that indicate subtraction are listed in the table below.</p>
<table summary="This table has two rows and five columns. The first row is a header row. Columns are labeled from left to right operation, word phrase, example, and expression. Under the operation column in the second row is the word subtraction. Under the word phrase column are the words minus, difference, decreased by, less than, subtracted from. Under the example column is a list of examples: 5 minus 2, the difference of 9 and 4, 7 decreased by 3, 5 less than 8, 1 subtracted from 6. The expression column includes the expressions in a list 5 minus 1, 9 minus 4, 7 minus 3, 8 minus 5, 6 minus 1.">
<thead>
<tr>
<th>Operation</th>
<th>Word Phrase</th>
<th>Example</th>
<th>Expression</th>
</tr>
</thead>
<tbody>
<tr>
<td data-valign="top">Subtraction</td>
<td data-valign="top">minus</td>
<td>\(5\) minus \(1\)</td>
<td>\(5-1\)</td>
</tr>
<tr>
<td> </td>
<td>difference</td>
<td>the difference of \(9\) and \(4\)</td>
<td>\(9-4\)</td>
</tr>
<tr>
<td> </td>
<td>decreased by</td>
<td>\(7\) decreased by \(3\)</td>
<td>\(7-3\)</td>
</tr>
<tr>
<td> </td>
<td>less than</td>
<td>\(5\) less than \(8\)</td>
<td>\(8-5\)</td>
</tr>
<tr>
<td> </td>
<td>subtracted from</td>
<td data-valign="top">\(1\) subtracted from \(6\)</td>
<td data-valign="top">\(6-1\)</td>
</tr>
</tbody>
</table>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<div data-type="example">
<section></section>
<section>
<div>
<p>Translate and then simplify:</p>
<ol style="list-style-type: lower-alpha;" type="1">
<li>the difference of \(13\) and \(8\)</li>
<li>subtract \(24\) from \(43\)</li>
</ol>
</div>
<div>
<section>
<h4>Solution</h4>
<p>(a) The word <em>difference</em> tells us to subtract the two numbers. The numbers stay in the same order as in the phrase.</p>
<table data-label="" summary="a">
<tbody>
<tr>
<td> </td>
<td>the difference of 13 and 8</td>
</tr>
<tr>
<td>Translate.</td>
<td>\(13-8\)</td>
</tr>
<tr>
<td>Simplify.</td>
<td>5</td>
</tr>
</tbody>
</table>
<p>(b) The words <em>subtract</em> <em>from</em> tells us to take the second number away from the first. We must be careful to get the order correct.</p>
<table data-label="" summary="a">
<tbody>
<tr>
<td> </td>
<td>subtract 24 from 43</td>
</tr>
<tr>
<td>Translate.</td>
<td>\(43-24\)</td>
</tr>
<tr>
<td>Simplify.</td>
<td>19</td>
</tr>
</tbody>
</table>
</section>
</div>
</section>
</div>
</div>
</div>
<div class="ns-tutorial">
<div class="ns-school-defn2">
<h3>Extra:</h3>
<div data-type="note">
<section>
<div>
<section>
<div>
<p>Translate and simplify:</p>
<ol style="list-style-type: lower-alpha;" type="1">
<li>the difference of \(14\) and \(9\)</li>
<li>subtract \(21\) from \(37\)</li>
</ol>
</div>
<div>
<h4>Solution</h4>
<section>
<ol style="list-style-type: lower-alpha;" type="1">
<li>14 − 9 = 5</li>
<li>37 − 21 = 16</li>
</ol>
</section>
</div>
</section>
</div>
</section>
</div>
</div>
</div>
<div class="ns-tutorial">
<div class="ns-school-defn2">
<h3>Extra:</h3>
<div data-type="note">
<section>
<div>
<section>
<div>
<p>Translate and simplify:</p>
<ol style="list-style-type: lower-alpha;" type="1">
<li>\(11\) decreased by \(6\)</li>
<li>\(18\) less than \(67\)</li>
</ol>
</div>
<div>
<h4>Solution</h4>
<section>
<ol style="list-style-type: lower-alpha;" type="1">
<li>11 − 6 = 5</li>
<li>67 − 18 = 49</li>
</ol>
</section>
</div>
</section>
</div>
</section>
</div>
</div>
</div>
<section></section>

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Translate Word Phrases to Math

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Translate Word Phrases to Math

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