<h2>Key Concepts</h2>
<h3>Add Whole Numbers</h3>
<ul>
<li><strong>Addition Notation</strong> To describe addition, we can use symbols and words.

<table class="unnumbered" data-label="" id="eip-id1170324017502" 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>
</li>
<li><strong>Identity Property of Addition</strong>
<ul id="eip-id1170325229876">
<li>The sum of any number \(a\) and \(0\) is the number. \(a + 0 = a\) \(0 + a = a\)</li>
</ul>
</li>
<li><strong>Commutative Property of Addition</strong>
<ul id="eip-id1170325285133">
<li>Changing the order of the addends \(a\) and \(b\) does not change their sum. \(a + b = b + a.\)</li>
</ul>
</li>
<li><strong>Add whole numbers.</strong>
<ol class="stepwise" id="eip-id1170325253924" type="1">
<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 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>
</li>
</ul>
<h3>Subtract Whole Numbers</h3>
<table data-label="" summary="This is a table with two rows and five columns. The top row is a header row. Each column is labeled from left to right operation, notation, expression, read as, and result. Under operation it says subtraction; under notation is the minus sign; under expression is seven minus three, under read as are the words seven minus three, under result are the words the difference of 7 and 3.">
<thead>
<tr>
<th>Operation</th>
<th>Notation</th>
<th>Expression</th>
<th>Read as</th>
<th>Result</th>
</tr>
</thead>
<tbody>
<tr>
<td>Subtraction</td>
<td>\(-\)</td>
<td>\(7-3\)</td>
<td>seven minus three</td>
<td>the difference of \(7\) and \(3\)</td>
</tr>
</tbody>
</table>
<ul>
<li><strong>Subtract whole numbers.</strong>
<ol type="1">
<li>Write the numbers so each place value lines up vertically.</li>
<li>Subtract the digits in each place value. Work from right to left starting with the ones place. If the digit on top is less than the digit below, borrow as needed.</li>
<li>Continue subtracting each place value from right to left, borrowing if needed.</li>
<li>Check by adding.</li>
</ol>
</li>
</ul>
<section></section>
<section></section>
<h2>Glossary</h2>
<h3>sum</h3>
<p>The sum is the result of adding two or more numbers.</p>
<h3>difference</h3>
<p>The difference is the result of subtracting two or more numbers.</p>

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Key Concepts and Glossary

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.


Key Concepts and Glossary

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