<h2>Model Division of Whole Numbers</h2>
<p><a href="https://data.ulearngo.com/assets/48e90e59-3e4a-4aea-9b90-39de3a4dda30"><img alt="model-division" class="size-full wp-image-102025 alignnone" height="538" src="https://data.ulearngo.com/assets/48e90e59-3e4a-4aea-9b90-39de3a4dda30" width="800"/></a></p>
<p>As we did with multiplication, we will model division using counters. The operation of division helps us organize items into equal groups as we start with the number of items in the dividend and subtract the number in the divisor repeatedly.</p>
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<h3>Example</h3>
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<p>Model the division: \(24÷8.\)</p>
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<h4>Solution</h4>
<p>To find the quotient \(24÷8,\) we want to know how many groups of \(8\) are in \(24.\)</p>
<p>Model the dividend. Start with \(24\) counters.</p>
<img alt="An image of 24 counters placed randomly." src="https://data.ulearngo.com/assets/5a764702-b5b7-4d4c-b5e9-9c1d2e20eb58"/>
<p>The divisor tell us the number of counters we want in each group. Form groups of \(8\) counters.</p>
<img alt="An image of 24 counters, all contained in 3 bubbles, each bubble containing 8 counters." src="https://data.ulearngo.com/assets/30a2df38-5d47-4cbc-a362-b522872c1983"/>
<p>Count the number of groups. There are \(3\) groups.</p>
<p>\(24÷8=3\)</p>
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<h3>Extra:</h3>
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<p>Model: \(24÷6.\)</p>
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<section><img alt="No Alt Text" src="https://data.ulearngo.com/assets/70cf717b-0be8-4333-9be6-f3dd8a06846d"/></section>
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<p>Model: \(42÷7.\)</p>
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<section><img alt="No Alt Text" src="https://data.ulearngo.com/assets/1ceda0c6-c79e-4687-8a28-85927be50482"/></section>
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<h2>Optional Video: Dividing Whole Numbers Without a Remainder</h2>
<p>This video below by <a href="http://www.mathispower4u.com/">Mathispower4u</a> provides an example of dividing a 4 digit whole number by a 2 digit whole number without a remainder.</p>
<p><iframe allowfullscreen="allowfullscreen" data-mce-fragment="1" frameborder="0" height="360" src="https://www.youtube.com/embed/V7Korf09iWI?rel=0&amp;modestbranding=1&amp;cc_lang_pref=en&amp;cc_load_policy=1" width="640"></iframe></p>

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Model Division

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 Division

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