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Math - Order of Operations











































what is the answer to the following math question ((2*2)+2-2)/2

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May 13, 2011
Math - PEMDAS - Order of Operations
by: Staff


The question:

what is the answer to the following math question ((2*2)+2-2)/2

The answer:

((2*2)+2-2)/2

To simplify this expression, use the PEMDAS order of operations.

PEMDAS order tells you what to do first, second, . . . etc.

PEMDAS stands for: parentheses, exponents, multiplication, division, addition, subtraction

Step 1: evaluate PARENTHESES

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

Two parentheses are nested - one inside the other.

1st parentheses (inner parentheses)

(2*2) = (4)

2nd parentheses (outer parentheses)

((4)+2-2)

(4+2-2)

(4)

At this stage in the simplification process, your expression looks like this: (4)/2


Step 2: evaluate EXPONENTS


PEMDAS order of evaluation: parentheses, EXPONENTS, multiplication, division, addition, subtraction

There area no exponents to evaluate.


Step 3: MULTIPLICATION


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

There is no multiplication to evaluate.


Step 4: DIVISION


PEMDAS order of evaluation: parentheses, exponents, multiplication, DIVISION, addition, subtraction

(4)/2

4/2

2


Step 5: evaluate ADDITION & SUBTRACTION

PEMDAS order of evaluation: parentheses, exponents, multiplication, division, ADDITION, SUBTRACTION

There is no addition or subtraction to evaluate.


The final answer is: 2


The entire step by step process of simplification looks like this:

((2*2)+2-2)/2

((4)+2-2)/2

(4+2-2)/2

(4+0)/2

(4)/2

4/2

2



Thanks for writing.

Staff
www.solving-math-problems.com



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