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Order of Operations

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William Heming
William Heming

The document explains the order of operations, known by the acronym PEMDAS: 1) Parentheses, 2) Exponents, 3) Multiplication/Division (from left to right), 4) Addition/Subtraction (from left to right). Following PEMDAS, solve inside parentheses and exponents first before moving left to right with multiplication/division and addition/subtraction. Always show your work and check answers to ensure accuracy.

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Order of Operations By: Billy Heming
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
Starting a Problem ALWAYS START A PROBLEM BY WRITING PEMDAS NEXT TO THE PROBLEM
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
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
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.
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
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.
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
MY PROBLEM: 5x(32)-(30/10+13)+183=?

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Order of Operations

  • 1. Order of Operations By: Billy Heming
  • 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. Starting a Problem ALWAYS START A PROBLEM BY WRITING PEMDAS NEXT TO THE PROBLEM
  • 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. 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. 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. 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. 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. 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

Editor's Notes

  1. Hello, I am Billy and i will tell you about the Order of Operations.