<h2>Adding Whole Numbers</h2>
<div class="ns-tutorial">
<div class="ns-school-defn2">
<h3>How to Add Whole Numbers</h3>
<ol>
<li>Write the numbers so each place value lines up vertically.</li>
<li>Add the digits in each place value. Work from right to left starting with the ones place. If a sum<br/>
 in a place value is more than \(9,\) carry to the next place value.</li>
<li>Continue adding each place value from right to left, adding each place value and carrying if needed.</li>
</ol>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<p>Add: \(43 + 69.\)</p>
<h4>Solution</h4>
<table class="unnumbered unstyled" id="eip-id1168287505854" summary="a">
<tbody>
<tr>
<td>Write the numbers so the digits line up vertically.</td>
<td>\(\begin{array}{r}<br/>
 43 \\<br/>
 \underline{+\;69} \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the digits in each place.

<div data-type="newline"> </div>

Add the ones: \(3 + 9 = 12\)</td>
<td> </td>
</tr>
<tr>
<td>Write the \(2\) in the ones place in the sum.

<div data-type="newline"> </div>

Add the \(1\) ten to the tens place.</td>
<td>
<p>\(\begin{array}{r}<br/>
 \overset{1}{4}3 \\<br/>
 +\;69 \\<br/>
 \hline<br/>
 2 \\<br/>
 \end{array}\)</p>
</td>
</tr>
<tr>
<td>Now add the tens: \(1 + 4 + 6 = 11\)

<div data-type="newline"> </div>

Write the \(11\) in the sum.</td>
<td>\(\begin{array}{r}<br/>
 \overset{1}{4}3 \\<br/>
 +\;69 \\<br/>
 \hline<br/>
 112 \\<br/>
 \end{array}\)</td>
</tr>
</tbody>
</table>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<p>Add: \(324 + 586.\)</p>
<h4>Solution</h4>
<table class="unnumbered unstyled" id="eip-id1168287251210" summary="a">
<tbody>
<tr>
<td>Write the numbers so the digits line up vertically.</td>
<td><a href="https://data.ulearngo.com/assets/89521561-2949-41ad-8afd-a588bf960459"><img alt="" class="size-full wp-image-100624 alignnone" height="46" src="https://data.ulearngo.com/assets/89521561-2949-41ad-8afd-a588bf960459" width="73"/></a></td>
</tr>
<tr>
<td>Add the digits in each place value.

<div data-type="newline"> </div>

Add the ones: \(4 + 6 = 10\)

<div data-type="newline"> </div>

Write the \(0\) in the ones place in the sum and carry the \(1\) ten to the tens place.</td>
<td><a href="https://data.ulearngo.com/assets/d318f642-ff78-4015-8b0a-4c6e1ba61bb4"><img alt="" class="size-full wp-image-100625 alignnone" height="82" src="https://data.ulearngo.com/assets/d318f642-ff78-4015-8b0a-4c6e1ba61bb4" width="73"/></a></td>
</tr>
<tr>
<td>Add the tens: \(1 + 2 + 8 = 11\)

<div data-type="newline"> </div>

Write the \(1\) in the tens place in the sum and carry the \(1\) hundred to the hundreds</td>
<td><a href="https://data.ulearngo.com/assets/28de2ca5-e7de-4917-89bf-f6b7c2f9c3b4"><img alt="" class="size-full wp-image-100626 alignnone" height="82" src="https://data.ulearngo.com/assets/28de2ca5-e7de-4917-89bf-f6b7c2f9c3b4" width="73"/></a></td>
</tr>
<tr>
<td>Add the hundreds: \(1 + 3 + 5 = 9\)

<div data-type="newline"> </div>

Write the \(9\) in the hundreds place.</td>
<td><a href="https://data.ulearngo.com/assets/27895d2e-8251-4aac-9a2c-e4a5a0baca80"><img alt="" class="size-full wp-image-100627 alignnone" height="82" src="https://data.ulearngo.com/assets/27895d2e-8251-4aac-9a2c-e4a5a0baca80" width="73"/></a></td>
</tr>
</tbody>
</table>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<p>Add: \(1,683 + 479.\)</p>
<h4>Solution</h4>
<table class="unnumbered unstyled" id="eip-id1168288687380" summary="a">
<tbody>
<tr>
<td>Write the numbers so the digits line up vertically.</td>
<td>\(\begin{array}{r}<br/>
 1,683 \\<br/>
 \underline{+\;479} \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the digits in each place value.</td>
<td> </td>
</tr>
<tr>
<td>Add the ones: \(3 + 9 = 12.\)

<div data-type="newline"> </div>

Write the \(2\) in the ones place of the sum and carry the \(1\) ten to the tens place.</td>
<td>\(\begin{array}{r}<br/>
 1,6\overset{1}{8}3 \\<br/>
 +\;479 \\<br/>
 \hline<br/>
 2 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the tens: \(1 + 7 + 8 = 16\)

<div data-type="newline"> </div>

Write the \(6\) in the tens place and carry the \(1\) hundred to the hundreds place.</td>
<td>\(\begin{array}{r}<br/>
 1,\overset{1}{6}\overset{1}{8}3 \\<br/>
 +\;479 \\<br/>
 \hline<br/>
 62 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the hundreds: \(1 + 6 + 4 = 11\)

<div data-type="newline"> </div>

Write the \(1\) in the hundreds place and carry the \(1\) thousand to the thousands place.</td>
<td>\(\begin{array}{r}<br/>
 1,\overset{1}{6}\overset{1}{8}3 \\<br/>
 +\;479 \\<br/>
 \hline<br/>
 162 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the thousands: \(1 + 1 = 2.\)

<div data-type="newline"> </div>

Write the \(2\) in the thousands place of the sum.</td>
<td>\(\begin{array}{r}<br/>
 1,\overset{1}{6}\overset{1}{8}3 \\<br/>
 +\;479 \\<br/>
 \hline<br/>
 2,162 \\<br/>
 \end{array}\)</td>
</tr>
</tbody>
</table>
<p id="fs-id2280341">When the addends have different numbers of digits, be careful to line up the corresponding place values starting with the ones and moving toward the left.</p>
</div>
</div>
<div class="ns-school-emp">
<h3>Example</h3>
<div class="ns-school-defn">
<p>Add: \(21,357 + 861 + 8,596.\)</p>
<h4>Solution</h4>
<table class="unnumbered unstyled" id="eip-id1168288531101" summary="a">
<tbody>
<tr>
<td>Write the numbers so the place values line up vertically.</td>
<td>\(\begin{array}{r}<br/>
 21,357 \\<br/>
 861 \\<br/>
 \underline{+\;8,596} \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the digits in each place value.</td>
<td> </td>
</tr>
<tr>
<td>Add the ones: \(7 + 1 + 6 = 14\)

<div data-type="newline"> </div>

Write the \(4\) in the ones place of the sum and carry the \(1\) to the tens place.</td>
<td>\(\begin{array}{r}<br/>
 21,3\overset{1}{5}7 \\<br/>
 861 \\<br/>
 +\;8,596 \\<br/>
 \hline<br/>
 4 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the tens: \(1 + 5 + 6 + 9 = 21\)

<div data-type="newline"> </div>

Write the \(1\) in the tens place and carry the \(2\) to the hundreds place.</td>
<td>\(\begin{array}{r}<br/>
 21,\overset{2}{3}\overset{1}{5}7 \\<br/>
 861 \\<br/>
 +\;8,596 \\<br/>
 \hline<br/>
 14 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the hundreds: \(2 + 3 + 8 + 5 = 18\) 

<div data-type="newline"> </div>

Write the \(8\) in the hundreds place and carry the \(1\) to the thousands place.</td>
<td>\(\begin{array}{r}<br/>
 2\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\<br/>
 861 \\<br/>
 +\;8,596 \\<br/>
 \hline<br/>
 814 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the thousands: \(1 + 1 + 8 = 10\)

<div data-type="newline"> </div>

Write the \(0\) in the thousands place and carry the \(1\) to the ten thousands place.</td>
<td>\(\begin{array}{r}<br/>
 \overset{1}{2}\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\<br/>
 861 \\<br/>
 +\;8,596 \\<br/>
 \hline<br/>
 0,814 \\<br/>
 \end{array}\)</td>
</tr>
<tr>
<td>Add the ten-thousands: \(1 + 2 = 3\)

<div data-type="newline"> </div>

Write the \(3\) in the ten thousands place in the sum.</td>
<td>\(\begin{array}{r}<br/>
 \overset{1}{2}\overset{1}{1},\overset{2}{3}\overset{1}{5}7 \\<br/>
 861 \\<br/>
 +\;8,596 \\<br/>
 \hline<br/>
 30,814 \\<br/>
 \end{array}\)</td>
</tr>
</tbody>
</table>
<p id="fs-id1246087">This example had three addends. We can add any number of addends using the same process as long as we are careful to line up the place values correctly.</p>
</div>
</div>
<h2>Optional Video: Adding Whole Numbers</h2>
<p>This video below by <a href="http://www.mathispower4u.com/">Mathispower4u</a> explains how to add whole numbers.</p>
<p><iframe allowfullscreen="allowfullscreen" data-mce-fragment="1" frameborder="0" height="360" src="https://www.youtube.com/embed/eoK9JEiFioI?rel=0&amp;modestbranding=1&amp;cc_lang_pref=en&amp;cc_load_policy=1" width="640"></iframe></p>

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Adding Whole Numbers

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

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Adding Whole Numbers

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