<p>By the end of this lesson and the next few, you should be able to:</p>
<ul>
<li>Use addition notation</li>
<li>Model addition of whole numbers</li>
<li>Add whole numbers without models</li>
<li>Translate word phrases to math notation</li>
<li>Add whole numbers in applications</li>
</ul>
<p><a href="https://data.ulearngo.com/assets/11dc43c5-a22b-49e8-8628-e02d3f5cbb3c"><img alt="addition" class="size-full wp-image-101870 alignnone" height="578" src="https://data.ulearngo.com/assets/11dc43c5-a22b-49e8-8628-e02d3f5cbb3c" width="800"/></a></p>
<h2 data-type="title">Use Addition Notation</h2>
<p id="fs-id3165690">A college student has a part-time job. Last week he worked \(3\) hours on Monday and \(4\) hours on Friday. To find the total number of hours he worked last week, he added \(3\) and \(4.\)</p>
<p id="fs-id2606793">The operation of addition combines numbers to get a <strong>sum</strong>. The notation we use to find the sum of \(3\) and \(4\) is:</p>
<h4>\(3 + 4\)</h4>
<p>We read this as <em data-effect="italics">three plus four</em> and the result is the sum of three and four. The numbers \(3\) and \(4\) are called the addends. A math statement that includes numbers and operations is called an expression.</p>
<div class="ns-tutorial">
<div class="ns-school-defn2">
<h3>Addition Notation</h3>
<p id="fs-id1966740">To describe addition, we can use symbols and words.</p>
<table class="unnumbered" data-label="" id="fs-id2711498" summary="This is a table with two rows and five columns. The top row is a header row. Each column from left to right is labeled accordingly: Operation, Notation, Expressions, Read as, and result. In the second row, from left to right is addition, the plus sign, the expression 3 plus four, the statement three plus four and the sum of 3 and 4.">
<thead>
<tr valign="top">
<th data-align="left" scope="col">Operation</th>
<th data-align="left" scope="col">Notation</th>
<th data-align="left" scope="col">Expression</th>
<th data-align="left" scope="col">Read as</th>
<th data-align="left" scope="col">Result</th>
</tr>
</thead>
<tbody>
<tr valign="top">
<td data-align="left">Addition</td>
<td data-align="left">\(+\)</td>
<td data-align="left">\(3 + 4\)</td>
<td data-align="left">three plus four</td>
<td data-align="left">the sum of \(3\) and \(4\)</td>
</tr>
</tbody>
</table>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<p id="fs-id2703725">1. Translate from math notation to words:</p>
<ol style="list-style-type: lower-alpha;">
<li>\(7 + 1\)</li>
<li>\(12 + 14\)</li>
</ol>
<h4 data-type="title">Solution</h4>
<ol data-labeled-item="true" id="eip-id1168287334447" style="list-style-type: lower-alpha;">
<li>The expression consists of a plus symbol connecting the addends 7 and 1. We read this as <em data-effect="italics">seven plus one</em>. The result is <em data-effect="italics">the sum of seven and one</em>.</li>
<li>The expression consists of a plus symbol connecting the addends 12 and 14. We read this as <em data-effect="italics">twelve plus fourteen</em>. The result is the <em data-effect="italics">sum of twelve and fourteen</em>.</li>
</ol>
<p>2. Translate from math notation to words:</p>
<ol style="list-style-type: lower-alpha;">
<li>\(8 + 4\)</li>
<li>\(18 + 11\)</li>
</ol>
<h4 data-type="title">Solution</h4>
<ol data-labeled-item="true" id="eip-id1168287334447" style="list-style-type: lower-alpha;">
<li>The expression consists of a plus symbol connecting the addends 8 and 4. We read this as <em>eight plus four</em>. The result is <em>the sum of eight and four</em>.</li>
<li>The expression consists of a plus symbol connecting the addends 18 and 11. We read this as <em>eighteen plus eleven</em>. The result is <em>the sum of eighteen and eleven</em>.</li>
</ol>
</div>
</div>
<h2>Optional Video: Adding Two-Digit Numbers With Base-10</h2>
<p>This video below by <a href="http://www.mathispower4u.com/">Mathispower4u</a> explains addition of two digit whole numbers by using base ten blocks.</p>
<p><iframe allowfullscreen="allowfullscreen" frameborder="0" height="360" src="https://www.youtube.com/embed/_smXQAPbygQ?rel=0&amp;modestbranding=1&amp;cc_lang_pref=en&amp;cc_load_policy=1" width="640"></iframe></p>

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Addition Notation

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

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Addition Notation

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