<h2>Key Concepts</h2>
<ul data-bullet-style="bullet">
<li><strong>Multiplication of Signed Numbers</strong>
<ul style="list-style-type: square;">
<li>To determine the sign of the product of two signed numbers:

<table data-label="" summary="This is a table with two columns. The first column states same signs. The second column states product. The first row under same signs states two positives and under that two negatives. In the right column under product, it states positive. Under this row is another column head, this time stating different signs. In the row under this column head, it states positive and negative, and under that, negative and positive. In the right column under product, it states negative.">
<thead>
<tr>
<th>Same Signs</th>
<th>Product</th>
</tr>
</thead>
<tbody>
<tr>
<td>Two positives

<div> </div>

Two negatives</td>
<td data-valign="top">Positive

<div> </div>

Positive</td>
</tr>
</tbody>
</table>
<div> </div>
<table data-label="" summary="This is a table with two columns. The first column states same signs. The second column states product. The first row under same signs states two positives and under that two negatives. In the right column under product, it states positive. Under this row is another column head, this time stating different signs. In the row under this column head, it states positive and negative, and under that, negative and positive. In the right column under product, it states negative.">
<thead>
<tr>
<th>Different Signs</th>
<th>Product</th>
</tr>
</thead>
<tbody>
<tr>
<td>Positive • negative

<div> </div>

Negative • positive</td>
<td data-valign="top">Negative

<div> </div>

Negative</td>
</tr>
</tbody>
</table>
</li>
</ul>
</li>
<li><strong>Division of Signed Numbers</strong>
<ul style="list-style-type: square;">
<li>To determine the sign of the quotient of two signed numbers:

<table data-label="" summary="This is a table with two columns. The first column states same signs. The second column states product. The first row under same signs states two positives and under that two negatives. In the right column under product, it states positive. Under this row is another column head, this time stating different signs. In the row under this column head, it states positive and negative, and under that, negative and positive. In the right column under product, it states negative.">
<thead>
<tr>
<th>Same Signs</th>
<th>Quotient</th>
</tr>
</thead>
<tbody>
<tr>
<td>Two positives

<div> </div>

Two negatives</td>
<td data-valign="top">Positive

<div> </div>

Positive</td>
</tr>
</tbody>
</table>
<div> </div>
<table data-label="" summary="This is a table with two columns. The first column states same signs. The second column states product. The first row under same signs states two positives and under that two negatives. In the right column under product, it states positive. Under this row is another column head, this time stating different signs. In the row under this column head, it states positive and negative, and under that, negative and positive. In the right column under product, it states negative.">
<thead>
<tr>
<th>Different Signs</th>
<th>Quotient</th>
</tr>
</thead>
<tbody>
<tr>
<td>Positive • negative

<div> </div>

Negative • Positive</td>
<td data-valign="top">Negative

<div> </div>

Negative</td>
</tr>
</tbody>
</table>
</li>
</ul>
</li>
<li><strong>Multiplication by \(-1\)</strong>
<ul data-bullet-style="open-circle" style="list-style-type: square;">
<li>Multiplying a number by \(-1\) gives its opposite: \(-1a=-a\)</li>
</ul>
</li>
<li><strong>Division by \(-1\)</strong>
<ul data-bullet-style="open-circle" style="list-style-type: square;">
<li>Dividing a number by \(-1\) gives its opposite: \(a÷\left(-1\right)=\mathit{\text{−a}}\)</li>
</ul>
</li>
</ul>
<figure data-label="">
<p> </p>
</figure>

77e14597-4d58-4399-be3f-b1bb5c28bc54

Key Concepts

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 integers, learn to locate numbers on the number line, find opposites, simplify expressions with absolute value, model addition, subtraction, multiplication, and division of integers, and solve equations using properties of equality in this tutorial.


Key Concepts

Key Concepts

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