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Math - 17.28 divided by (1.32 - 0.24) x 0.6

by Debra
(New York)











































Apply PEMDAS

Evaluate the following expression:

17.28 divided by (1.32 - 0.24) x 0.6

Comments for Math - 17.28 divided by (1.32 - 0.24) x 0.6

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Oct 12, 2012
Apply PEMDAS
by: Staff


Answer:

Part I


17.28 divided by (1.32 - 0.24) x 0.6

       17.28     

--------------- * 0.6
(1.32 – 0.24)



To evaluate this expression, follow the steps indicated in the PEMDAS order of operations.

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

PEMDAS stands for: parentheses, exponents, multiplication, division, addition, subtraction. These steps must be evaluated in order.

Step 1: evaluate PARENTHESES

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

There is one set of parentheses to evaluate.

(If there were nested parentheses, you would evaluate the expression inside the inner parentheses first, and then evaluate the expression within the outer parentheses.)

For this problem, the expression which must be evaluated is shown in blue:
          17.28     

------------------- * 0.6
(1.32 – 0.24)


Follow the entire PEMDAS sequence inside the parentheses. Ignore the other parts of the expression for now.

evaluate ADDITION & SUBTRACTION (within parentheses)

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

There is one subtraction within the parentheses.

(1.32 - 0.24)

= 1.08


We have completed the evaluation of the expression inside the parentheses.

    17.28     

--------- * 0.6
(1.08)

The expression now looks like this:

17.28
= ------- * 0.6
1.08


------------------------------------------

Oct 12, 2012
Apply PEMDAS
by: Staff


------------------------------------------
Part II

There are no additional parentheses to evaluate. We will now return to Step 2: evaluate EXPONENTS as it applies to the entire expression.

Step 2: evaluate EXPONENTS (for the complete expression)

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

There are no exponents to evaluate.

Step 3: MULTIPLICATION (for the complete expression)


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

There is one multiplication to be completed.

For this problem, the expression which must be evaluated is shown in blue:
    17.28 

= --------- * 0.6
1.08


17.28 * 0.6

= 10.368


    10.368 

= ----------
1.08

The expression now looks like this:

10.368
= --------
1.08


Step 4: DIVISION (for the complete expression)

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

There is one division to be completed.

For this problem, the expression which must be evaluated is shown in blue:

    10.368 

= ----------
1.08


10.368 ÷ 1.08

= 9.6

The expression now looks like this:


= 9.6



------------------------------------------

Oct 12, 2012
Apply PEMDAS
by: Staff


------------------------------------------
Part III

Step 5: evaluate ADDITION & SUBTRACTION (for the complete expression)

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

There is no addition or subtraction to be completed.


You are finished. There are no further steps which need to be completed.

Final Answer:

                 9.6



The complete step by step process of simplification looks like this:
       17.28     

--------------- * 0.6
(1.32 – 0.24)

17.28
= ------- * 0.6
1.08

10.368
= --------
1.08

= 9.6




Thanks for writing.

Staff
www.solving-math-problems.com


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