ALGEBRA - Order of Operations

by Stacy

HOW TO WORK OUT ans solve 40-(10-{4-2} )

E evaluate this expression using the PEMDAS order of operations.

P = Parentheses

E = Exponents

M = Multiplication

D = Division

S = Subtraction

Comments for ALGEBRA - Order of Operations

 Sep 18, 2011 Evaluate Expression by: Staff ------------------------------------------------------- Part II Step 2: evaluate EXPONENTS PEMDAS order of evaluation for (simplified) overall expression: parentheses, EXPONENTS, multiplication, division, addition, subtraction There are no exponents to evaluate. Step 3: MULTIPLICATION PEMDAS order of evaluation: parentheses, exponents, MULTIPLICATION, division, addition, subtraction There is one multiplication: - (8) = (-1) * (8) = -8 A recap of the PEMDAS simplification process up to this point is shown below: 40 - ( 10 - {4 - 2} ) = 40 - ( 10 - {2} ) = 40 - (10 + (-1) * {2}) = 40 - (10 - 2) = 40 - (8) = 40 + (-1) * (8) = 40 - 8 Step 4: DIVISION PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction There are no division operations to evaluate. Step 5: evaluate ADDITION & SUBTRACTION PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION 40 - 8 = 32 After completing the last step, you are finished. The final answer to your question is: 32 40 - ( 10 - {4 - 2} ) = 32 A step-by-step recap of the entire process is shown below: 40 - ( 10 - {4 - 2} ) = 40 - ( 10 - {2} ) = 40 - (10 + (-1) * {2}) = 40 - (10 - 2) = 40 - (8) = 40 + (-1) * (8) = 40 - 8 = 32 Thanks for writing. Staff www.solving-math-problems.com

 Sep 18, 2011 Evaluate Expression by: Staff Part IThe question:by Stacy (Trinidad)HOW TO WORK OUT ans solve 40 - ( 10 - {4 - 2} )The answer: You can evaluate this expression using the PEMDAS order of operations. PEMDAS is an acronym. PEMDAS is an abbreviation for a six step process. Each letter stands for a different mathematical procedure:P = Parentheses E = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionThe order of the letters tells you which mathematical operation to complete first, second, . . . etc.Complete 1st = ParenthesesComplete 2nd = ExponentsComplete 3rd = MultiplicationComplete 4th = DivisionComplete 5th = AdditionComplete 6th = SubtractionStep 1: you should evaluate the expression inside each set of PARENTHESESPEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtractionThere are two nested parentheses. Outer parentheses: (10 - { . . . } )andInner parentheses: (. . . {4 - 2})Evaluate the expression inside the inner parentheses (curly brackets in this case) first:{4 - 2}= {2}= 2After simplifying the expression inside the inner parentheses, your original expression looks like this:40 - ( 10 - {4 - 2} )= 40 - ( 10 - {2} )Evaluate the outer PARENTHESES PEMDAS applies inside parentheses . . . The step-by-step procedure for evaluating expressions inside parentheses, square brackets, or curly brackets is exactly the same as the step-by-step procedure for evaluating the overall expression . . .( 10 - {2} )= ( 10 + (-1) * {2} )= ( 10 - 2 )= ( 8 )A recap of the PEMDAS simplification process up to this point is shown below:40 - ( 10 - {4 - 2} )= 40 - ( 10 - {2} )= 40 - (10 + (-1) * {2})= 40 - (10 - 2)= 40 - (8)-------------------------------------------------------