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# Order of Operations

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### Order of Operations

1. 1. Order of Operations By: Billy Heming
2. 2. What Are the Order of Operations <ul><li>Parentheses (and Division Bars) </li></ul><ul><li>Exponents </li></ul><ul><li>Multiplication </li></ul><ul><li>Division </li></ul><ul><li>Addition </li></ul><ul><li>Subraction </li></ul><ul><li>  </li></ul><ul><li>You can remember these with the acronym PEMDAS </li></ul><ul><li>  </li></ul><ul><li>P LEASE E XCUSE M Y D EAR A UNT S ALLY </li></ul>
3. 3. Starting a Problem <ul><li>ALWAYS START A PROBLEM BY WRITING PEMDAS NEXT TO THE PROBLEM </li></ul>
4. 4. P arentheses       (        ) <ul><ul><li>Parentheses and Division Bars are first in PEMDAS. </li></ul></ul><ul><ul><li>Do what is inside them first when starting a problem </li></ul></ul><ul><ul><li>When you get inside the parentheses, start over with PEMDAS </li></ul></ul><ul><ul><li>Example: </li></ul></ul><ul><ul><ul><ul><li>5(4+6x7)= </li></ul></ul></ul></ul><ul><ul><ul><ul><li>5(4+42)= </li></ul></ul></ul></ul><ul><ul><ul><ul><li>5(46)= </li></ul></ul></ul></ul><ul><ul><ul><ul><li>230 </li></ul></ul></ul></ul><ul><li>  </li></ul><ul><li>  </li></ul><ul><ul><li>When you have a division bar, do what is on the top and then divide the top number by the bottom number. </li></ul></ul><ul><ul><li>Example: </li></ul></ul><ul><ul><ul><ul><li>  6+18 =24 =3 </li></ul></ul></ul></ul><ul><li>                     8       8 </li></ul>
5. 5. E xponents     52 <ul><ul><li>Exponents are the same as powers. </li></ul></ul><ul><ul><li>Solve exponents after all parentheses and division bars are solved. </li></ul></ul><ul><ul><li>Example: </li></ul></ul><ul><ul><ul><ul><li>24x2=32 </li></ul></ul></ul></ul><ul><ul><ul><li>24is equal to 2x2x2x2 </li></ul></ul></ul><ul><ul><ul><ul><ul><li>             4x2x2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>             8x2 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>             16 </li></ul></ul></ul></ul></ul>
6. 6. M ultiplication and  D ivision     10x3    20/5 <ul><ul><li>You start multiplication and division after all parentheses, division bars, and exponents are solved. </li></ul></ul><ul><ul><li>When solving multiplication and division, you go from left to right. </li></ul></ul><ul><ul><li>Say you have 20 divided by 2 times 3, for example, you would not do 2 times 3 and then divide 20 by 6. </li></ul></ul><ul><ul><li>Instead you would divide because it is first from left to right. 20 divided by 2 equals 10. Then you multiply 10 and 3, which equals 30. That is your answer. </li></ul></ul>
7. 7. A ddition and S ubtraction     8+7     20-13 <ul><ul><li>Addition and subtraction are started after everything else is finished. </li></ul></ul><ul><ul><li>Just like multiplication and division, you go from left to right. </li></ul></ul><ul><ul><li>Examples: </li></ul></ul><ul><ul><ul><ul><li>8+7=15 </li></ul></ul></ul></ul><ul><ul><ul><ul><li>20-13=7 </li></ul></ul></ul></ul><ul><ul><ul><li>Another example with both: </li></ul></ul></ul><ul><ul><ul><ul><ul><li>27+43-50= </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>First, you do 27+43=70 </li></ul></ul></ul></ul></ul><ul><ul><ul><ul><ul><li>Now subtract. 70-50=20 </li></ul></ul></ul></ul></ul>
8. 8. Checking your work <ul><ul><li>Checking your work is very important. </li></ul></ul><ul><ul><li>Make sure to always check your work. </li></ul></ul><ul><ul><li>You can check with a calculator or by hand. </li></ul></ul>
9. 9. Where I got my photos <ul><ul><li>http://www.inmagine.com/searchterms/calculators-3.html </li></ul></ul><ul><ul><li>http://www.inmagine.com/searchterms/math.html </li></ul></ul><ul><ul><li>http://www.inmagine.com/searchterms/math_equations.html </li></ul></ul>
10. 10. MY PROBLEM: <ul><li>5x(32)-(30/10+13) +183=? </li></ul>