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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

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Aug 25, 2013
PEMDAS
by: Staff


Answer

Part I

Simplify the Expression


Simplify the Expression  4 × (4 - 4 + 4)




Step 1: evaluate expression within PARENTHESES

PEMDAS order of evaluation: PARENTHESES, exponents, multiplication, division, addition, subtraction


evaluate expression within PARENTHESES (4 - 4 + 4)




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Aug 25, 2013
PEMDAS
by: Staff


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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.


compute value of expression within PARENTHESES (4 - 4 + 4)




the expression now looks like this



Status of PEMDAS evaluation








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Aug 25, 2013
PEMDAS
by: Staff


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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


PEMDAS order of evaluation:  parentheses, exponents, MULTIPLICATION, division, addition, subtraction






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Aug 25, 2013
PEMDAS
by: Staff


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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:


Evaluation of 4 × (4 - 4 + 4) using PEMDAS. 

 4 × (4 - 4 + 4) = 16








Thanks for writing.

Staff
www.solving-math-problems.com


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