<h2>Translate Word Phrases to Math Notation</h2>
<p>In a previous lesson, we translated math notation for division into words. Now we’ll translate word phrases into math notation. Some of the words that indicate division 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 “division”, which spans all rows. The second column is labeled “word phrase” with the values “divided by; quotient of; divided into”. The thirs column has the values “12 divided by 4; the quotient of 12 and 4; 4 divided into 12”. The fourth column is labeled “expression” and has 3 different representations of division - the division symbol, the fraction bar, and the division bar.">
<thead>
<tr>
<th>Operation</th>
<th>Word Phrase</th>
<th>Example</th>
<th>Expression</th>
</tr>
</thead>
<tbody>
<tr>
<td data-valign="top">Division</td>
<td data-valign="top">divided by

<div> </div>

quotient of

<div> </div>

divided into</td>
<td data-valign="top">\(12\) divided by \(4\)

<div> </div>

the quotient of \(12\) and \(4\)

<div> </div>

\(4\) divided into \(12\)</td>
<td data-valign="top">\(12÷4\)

<div> </div>

\(\frac{12}{4}\)

<div> </div>

\(12\text{/}4\)

<div> </div>

\(4\overline{)12}\)</td>
</tr>
</tbody>
</table>
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<h3>Example</h3>
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<p>Translate and simplify: the quotient of \(51\) and \(17.\)</p>
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<h4>Solution</h4>
<p>The word <em>quotient</em> tells us to divide.</p>
<p>\(\begin{array}{cccc}&amp; &amp; &amp; \text{the quotient of 51 and 17}\hfill \\ \text{Translate.}\hfill &amp; &amp; &amp; 51÷17\hfill \\ \text{Divide.}\hfill &amp; &amp; &amp; 3\hfill \end{array}\)</p>
<p>We could just as correctly have translated <em>the quotient of</em> \(51\) <em>and</em> \(17\) using the notation</p>
<p>\(17\overline{)51}\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.4em}{0ex}}\frac{51}{17}.\)</p>
</section>
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<h3>Extra:</h3>
<div data-type="note">
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<section>
<div>
<p>Translate and simplify: the quotient of \(91\) and \(13.\)</p>
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<h4>Answer</h4>
<section>
<p>91 ÷ 13; 7</p>
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<h3>Extra:</h3>
<div data-type="note">
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<p>Translate and simplify: the quotient of \(52\) and \(13.\)</p>
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<h4>Answer</h4>
<section>
<p>52 ÷ 13; 4</p>
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Translate Word Phrases to Math

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore the world of numbers and learn about their history, properties, and applications, including place value, addition, subtraction, multiplication, and division.


Translate Word Phrases to Math

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