# Order of operations problem

by Marie
(Los Angeles, CA)

Simplifying a numerical expression

How do I simplify this expression using the PEMDAS order of operations?

4 × (4 - 4 + 4)

Hint: perform the operations within the parentheses first.

### Comments for Order of operations problem

 Aug 25, 2013 PEMDAS by: Staff Answer Part I Simplify the Expression Step 1: evaluate expression within PARENTHESES PEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtraction ----------------------------------------------------------

 Aug 25, 2013 PEMDAS by: Staff ---------------------------------------------------------- Part II Step 1 A: apply PEMDAS to the expression within the PARENTHESES PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION The PEMDAS order of evaluation applies to the expression within the parentheses, just as it applies to the overall expression. the expression now looks like this ----------------------------------------------------------

 Aug 25, 2013 PEMDAS by: Staff ---------------------------------------------------------- Part III Step 2: evaluate EXPONENTS PEMDAS order of evaluation: 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 ----------------------------------------------------------

 Aug 25, 2013 PEMDAS by: Staff ---------------------------------------------------------- Part IV Step 4: DIVISION PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction There is no part of the expression which requires division. Step 5: evaluate ADDITION & SUBTRACTION PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION There is no part of the expression which requires addition or subtraction. The final answer is: Thanks for writing. Staff www.solving-math-problems.com