Lesson How to Add and Subtract Negative Numbers
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Algebra: Operations with Signed Numbers
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Source code of 'How to Add and Subtract Negative Numbers'
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<center><a href = "http://www.mathick.com/mathick.php?topic=addnegs">Try a sample problem!</a> <table cellspacing = '5' cellpadding = '5' border = '10'><tr> <td>Problem:</td> <td><center>3 + +5</center></td> <td><center>3 + (-5)</center></td> <td><center>3 - (+5)</center></td> <td><center>3 - -5</center></td> <td><center>-3 + (-5)</center></td> <td><center>-3 - -5</center></td></tr><tr> <td>If you see two signs next to each other, change them to a single sign: <center>++ changes to + +- changes to - -+ changes to - -- changes to +</center></td> <td><center>3 + 5</center></td> <td><center>3 - 5</center></td> <td><center>3 - 5</center></td <td><center>3 + 5</center></td> <td><center>-3 - 5</center></td> <td><center>-3 + 5</center></td></tr><tr> <td>Now there are just <font color='#009933'>two</font> signs. (For example, 3-5 is really <font color='#009933' size = '5'>+</font>3 <font color='#009933' size = '5'>-</font> 5) If the 2 signs are <i><font color='#cc0033'>different</font></i>, the answer has the sign of the <i>larger</i> number. (5 in this case, since 5 is larger than 3.) If they're <i>the <font color='#3300ff'>same</font></i>, the answer also has the same sign. </td> <td><font color='#3300ff' size='15'><center>+</center></font></td> <td><font color='#cc0033' size='15'><center>-</center></font></td> <td><font color='#cc0033' size='15'><center>-</center></font></td> <td><font color='#3300ff' size='15'><center>+</center></font></td> <td><font color='#3300ff' size='15'><center>-</center></font></td> <td><font color='#cc0033' size='15'><center>+</center></font></td></tr><tr> <td>If the signs are <font color="#cc0033">different</font>, subtract the two numbers. If they're the <font color="#3300ff">same</font>, add.</td> <td><center><font color="#3300ff">8</font></center></td> <td><center><font color="#cc0033">2</font></center></td> <td><center><font color="#cc0033">2</font></center></td> <td><center><font color="#3300ff">8</font></center></td> <td><center><font color="#3300ff">8</font></center></td> <td><center><font color="#cc0033">2</font></center></td></tr><tr> <td>Final Answer:</td> <td><center>+8</center></td> <td><center>-2</center></td> <td><center>-2</center></td> <td><center>+8</center></td> <td><center>-8</center></td> <td><center>+2</center></td></tr></table> <a href = "http://www.mathick.com/mathick.php?topic=addnegs">Try one!</a></center>