<h2>Translate Word Phrases to Math Notation</h2>
<p>In a previous lesson, we translated math notation into words. Now we’ll reverse the process and translate word phrases into math notation. Some of the words that indicate multiplication are given in the table below.</p>
<table summary="A table with 4 columns and 3 rows. The first column is labeled “operation” and has the value “multiplication”, which spans all rows. The second column is labeled “word phrase” and has the values “times; product; and twice”. The third column is labeled “example” and has the values “3 times 8; the product of 3 and 8; twice 4”. The fourth column is labeled “expression” and has the values “3 times 8 (with 3 notations); 3 times 8 (in parentheses notation); and 2 times 4 (in dot notation)”.">
<thead>
<tr>
<th>Operation</th>
<th>Word Phrase</th>
<th>Example</th>
<th>Expression</th>
</tr>
</thead>
<tbody>
<tr>
<td data-valign="top">Multiplication</td>
<td data-valign="top">times

<div> </div>

product

<div> </div>

twice</td>
<td data-valign="top">\(3\) times \(8\)

<div> </div>

the product of \(3\) and \(8\)

<div> </div>

twice \(4\)</td>
<td data-valign="top">\(3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8,3·8,\left(3\right)\left(8\right),\)

<div> </div>

\(\left(3\right)8,\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}3\left(8\right)\)

<div> </div>

\(2·4\)</td>
</tr>
</tbody>
</table>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<div data-type="example">
<section>
<div>
<section>
<div>
<p>Translate and simplify: the product of \(12\) and \(27.\)</p>
</div>
<div>
<section>
<h4>Solution</h4>
<p>The word <em>product</em> tells us to multiply. The words <em>of</em> \(12\) <em>and</em> \(27\) tell us the two factors.</p>
<table summary=" ">
<tbody>
<tr>
<td> </td>
<td>the product of 12 and 27</td>
</tr>
<tr>
<td>Translate.</td>
<td>\(12\cdot 27\)</td>
</tr>
<tr>
<td>Multiply.</td>
<td>\(324\)</td>
</tr>
</tbody>
</table>
</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 the product of \(13\) and \(28.\)</p>
</div>
<div>
<h4>Answer</h4>
<section>
<p>13 · 28; 364</p>
</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 the product of \(47\) and \(14.\)</p>
</div>
<div>
<h4>Answer</h4>
<section>
<p>47 · 14; 658</p>
</section>
</div>
</section>
</div>
</section>
</div>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<div data-type="example">
<section>
<div>
<section>
<div>
<p>Translate and simplify: twice two hundred eleven.</p>
</div>
<div>
<section>
<h4>Solution</h4>
<p>The word <em>twice</em> tells us to multiply by \(2.\)</p>
<table data-label="" summary=".">
<tbody>
<tr>
<td> </td>
<td>twice two hundred eleven</td>
</tr>
<tr>
<td>Translate.</td>
<td>2(211)</td>
</tr>
<tr>
<td>Multiply.</td>
<td>422</td>
</tr>
</tbody>
</table>
</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: twice one hundred sixty-seven.</p>
<h4>Answer</h4>
</div>
<div>
<section>
<p>2(167); 334</p>
</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: twice two hundred fifty-eight.</p>
</div>
<div>
<h4>Answer</h4>
<section>
<p>2(258); 516</p>
</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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