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ALGEBRA - Order of Operations

by Stacy
(Trinidad)











































HOW TO WORK OUT ans solve 40-(10-{4-2} )

E evaluate this expression using the PEMDAS order of operations.

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

Comments for ALGEBRA - Order of Operations

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Sep 18, 2011
Evaluate Expression
by: Staff

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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 one multiplication:

- (8)

= (-1) * (8)

= -8


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

40 - ( 10 - {4 - 2} )

= 40 - ( 10 - {2} )

= 40 - (10 + (-1) * {2})

= 40 - (10 - 2)

= 40 - (8)

= 40 + (-1) * (8)

= 40 - 8


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

40 - 8

= 32

After completing the last step, you are finished.


The final answer to your question is: 32

40 - ( 10 - {4 - 2} ) = 32


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

40 - ( 10 - {4 - 2} )


= 40 - ( 10 - {2} )

= 40 - (10 + (-1) * {2})

= 40 - (10 - 2)

= 40 - (8)

= 40 + (-1) * (8)

= 40 - 8

= 32



Thanks for writing.

Staff
www.solving-math-problems.com



Sep 18, 2011
Evaluate Expression
by: Staff

Part I

The question:

by Stacy
(Trinidad)

HOW TO WORK OUT ans solve 40 - ( 10 - {4 - 2} )


The 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: (10 - { . . . } )

and

Inner parentheses: (. . . {4 - 2})



Evaluate the expression inside the inner parentheses (curly brackets in this case) first:

{4 - 2}

= {2}

= 2

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

40 - ( 10 - {4 - 2} )

= 40 - ( 10 - {2} )


Evaluate the outer PARENTHESES

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 . . .

( 10 - {2} )

= ( 10 + (-1) * {2} )

= ( 10 - 2 )

= ( 8 )


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

40 - ( 10 - {4 - 2} )

= 40 - ( 10 - {2} )

= 40 - (10 + (-1) * {2})

= 40 - (10 - 2)

= 40 - (8)

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