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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 Parentheses (and Division Bars) Exponents Multiplication Division Addition Subraction You can remember these with the acronym PEMDAS PLEASE EXCUSE MY DEAR AUNT SALLY
3. 3. Starting a Problem ALWAYS START A PROBLEM BY WRITING PEMDAS NEXT TO THE PROBLEM
4. 4. Parentheses ( ) • Parentheses and Division Bars are first in PEMDAS. • Do what is inside them first when starting a problem • When you get inside the parentheses, start over with PEMDAS • Example:  5(4+6x7)=  5(4+42)=  5(46)=  230 • When you have a division bar, do what is on the top and then divide the top number by the bottom number. • Example:  6+18 =24 =3 8 8
5. 5. Exponents 52 • Exponents are the same as powers. • Solve exponents after all parentheses and division bars are solved. • Example: 24x2=32 o 24is equal to 2x2x2x2  4x2x2  8x2  16
6. 6. Multiplication and Division 10x3 20/5 • You start multiplication and division after all parentheses, division bars, and exponents are solved. • When solving multiplication and division, you go from left to right. • Say you have 20 divided by 2 times 3, for example, you would not do 2 times 3 and then divide 20 by 6. • 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.
7. 7. Addition and Subtraction 8+7 20-13 • Addition and subtraction are started after everything else is finished. • Just like multiplication and division, you go from left to right. • Examples:  8+7=15  20-13=7 o Another example with both:  27+43-50=  First, you do 27+43=70  Now subtract. 70-50=20
8. 8. Checking your work • Checking your work is very important. • Make sure to always check your work. • You can check with a calculator or by hand.
9. 9. Where I got my photos • http://www.inmagine.com/searchterms/calculators-3.html • http://www.inmagine.com/searchterms/math.html • http://www.inmagine.com/searchterms/math_equations.html
10. 10. MY PROBLEM: 5x(32)-(30/10+13) +183=?