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PEMDAS - Simplify Expression - Math of Grade-6

by Imran Sami
(Sahiwal, Punjab, Pakistan)










































Pl help me in detail to solve this equation
______
2+{1.25*3.85/(5.64-2.9+1.2)}

I will be thankful.

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Mar 17, 2012
PEMDAS - Simplify Expression
by: Staff


Question:

by Imran Sami
(Sahiwal, Punjab, Pakistan)

Pl help me in detail to solve this equation
______
2 + {1.25*3.85/(5.64 - 2.9 + 1.2)}

I will be thankful.


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 = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction


The order of the letters tells you which mathematical operation to complete first, second, . . . etc.

Complete 1st = Parentheses

Complete 2nd = Exponents

Complete 3rd = Multiplication

Complete 4th = Division

Complete 5th = Addition

Complete 6th = Subtraction




Step 1: you should evaluate the expression inside each set of PARENTHESES

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

There are two nested parentheses.

Outer parentheses: 2 + { . . . }


and

Inner parentheses: { . . .(5.64 - 2.9 + 1.2)}



Evaluate the expression inside the inner parentheses first:

(5.64 - 2.9 + 1.2)

= 3.94

After simplifying the expression inside the inner parentheses, your original expression looks like this:

2 + {1.25*3.85/(5.64 - 2.9 + 1.2)}

= 2 + {1.25*3.85/(3.94)}

= 2 + {1.25*3.85/3.94}

Evaluate the outer PARENTHESES (curly brackets in this case)

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 . . .

2 + {1.25*3.85/3.94}

= 2 + {4.8125/3.94}

= 2 + {1.22145}

= 2 + 1.22145


A recap of the PEMDAS simplification process up to this point is shown below:


2 + {1.25*3.85/(5.64 - 2.9 + 1.2)}

= 2 + {1.25*3.85/(3.94)}

= 2 + {1.25*3.85/3.94}

= 2 + {4.8125/3.94}

= 2 + {1.22145}

= 2 + 1.22145


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Mar 17, 2012
PEMDAS - Simplify Expression
by: s


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

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 no multiplication to evaluate.


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

2 + 1.22145

= 3.22145

After completing this last step, you are finished.


The final answer to your question is: 3.22145

2 + {1.25*3.85/(5.64 - 2.9 + 1.2)} = 3.22145


A step-by-step recap of the entire process is shown below:


2 + {1.25*3.85/(5.64 - 2.9 + 1.2)}

= 2 + {1.25*3.85/(3.94)}

= 2 + {1.25*3.85/3.94}

= 2 + {4.8125/3.94}

= 2 + {1.22145}

= 2 + 1.22145


= 3.22145



Thanks for writing.

Staff
www.solving-math-problems.com



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