<h2>Model Multiplication of Whole Numbers</h2>
<p><a href="https://data.ulearngo.com/assets/1cf5d8cb-e6a6-4853-8424-1d482278def3"><img alt="model-multiplication" class="size-full wp-image-101883 alignnone" height="537" src="https://data.ulearngo.com/assets/1cf5d8cb-e6a6-4853-8424-1d482278def3" width="800"/></a></p>
<p>There are many ways to model multiplication. Unlike in the previous sections where we used \(\text{base-10}\) blocks, here we will use counters to help us understand the meaning of multiplication. A counter is any object that can be used for counting. We will use round blue counters.</p>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<div data-type="example">
<section>
<div>
<section>
<div>
<p>Model: \(3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8.\)</p>
</div>
<div>
<section>
<h4>Solution</h4>
<p>To model the product \(3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8,\) we’ll start with a row of \(8\) counters. </p>
<img alt="An image of a horizontal row of 8 counters." src="https://data.ulearngo.com/assets/f6b8a7d0-f676-41e7-8c11-b9a71ec9d342"/>
<p>The other factor is \(3,\) so we’ll make \(3\) rows of \(8\) counters. </p>
<img alt="An image of 3 horizontal rows of counters, each row containing 8 counters." src="https://data.ulearngo.com/assets/eb7e2a9f-c138-457e-8682-57995fc7171e"/>
<p>Now we can count the result. There are \(24\) counters in all.</p>
<p>\(3\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}8=24\)</p>
<p>If you look at the counters sideways, you’ll see that we could have also made \(8\) rows of \(3\) counters. The product would have been the same. We’ll get back to this idea later.</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></section>
<section>
<div>
<p>Model each multiplication: \(4\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}6.\)</p>
</div>
<div>
<section><img alt="No Alt Text" src="https://data.ulearngo.com/assets/a7797ec8-43bc-404b-be30-87444e32674c"/></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>Model each multiplication: \(5\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}7.\) </p>
</div>
<div>
<section><img alt="No Alt Text" src="https://data.ulearngo.com/assets/b186f0fa-d6f9-4099-821e-5acf00af8b15"/></section>
</div>
</section>
</div>
</section>
</div>
</div>
</div>
<section></section>
<h2>Optional Video: Multiplying Whole Numbers</h2>
<p>This video below by <a href="http://www.mathispower4u.com/">Mathispower4u</a> explains how to multiply using whole numbers.</p>
<p><iframe allowfullscreen="allowfullscreen" frameborder="0" height="360" src="https://www.youtube.com/embed/kW7JBfplJGE?rel=0&amp;modestbranding=1&amp;cc_lang_pref=en&amp;cc_load_policy=1" width="640"></iframe></p>

77e14597-4d58-4399-be3f-b1bb5c28bc54

Model Multiplication

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.


Model Multiplication

Track Your Learning Progress