Algebra/Order of Operations/Practice Answers

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Algebra/Order of Operations
 ← Order of Operations Practice Answers

Remember Please Excuse My Dear Aunt Sally!

  1. Evaluate the numerical expression  2+4*3
 P - There are no parentheses.
 E - There are no exponents.
 M - Multiply 4 * 3 and substitute. 
     New expression is 2 + 12
 D - There is no division.
 A - Add 2 + 12
     Final expression is 14
 S- There is no subtraction.
  1. Evaluate the numerical expression  2*4+3
 P - There are no parentheses.
 E - There are no exponents.
 M - Multiply Multiply 2 * 4 and substitute. 
     New expression is 8 + 3
 D - There is no division.
 A - Add 8 + 3
     Final expression is 11
 S- There is no subtraction.
  1. Evaluate the numerical expression  (2+4)*3
 P - add 2 + 4, remove parentheses, and substitute
     New expression is 6 * 3
 E - There are no exponents.
 M - Multiply Multiply 6 * 3 and substitute. 
     Final expression is 18
 D - There is no division.
 A - There is no addition.
 S- There is no subtraction.
  1. Evaluate the expression  9^2 + 1 -7*(8+4)/2
 P - add 8 + 4
     New expression is 9^2 + 1 - 7 * 12 / 2
 E - solve the exponents
     New expression is 81 + 1 - 7 * 12 / 2
 M - multiply 7 * 12 
     New expression is 81 + 1 - 84 /2
 D - Divide 84 /2
     New expression is 81 + 1 -42
 A - Add 81 + 1
     New Expression is 82 - 42
 S - Subtract 82-42
     Final expression is 40