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HELP!!!!!!??????

by kaylie
(Sanintonio Tx)











































why are brackets the first ones to be evaluated in an equation with only parentheses and brackets?????????????

Comments for HELP!!!!!!??????

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Apr 07, 2011
Nested Expressions
by: Staff


The question:

by Kaylie
San Antonio (Round Rock), Tx

why are brackets the first ones to be evaluated in an equation with only parentheses and brackets?????????????


The answer:

The answer to your question is: All mathematical expressions must be evaluated in PEMDAS order to arrive at the correct answer.


The three most commonly used grouping symbols are:

() = round brackets, usually just called parentheses
[] = square brackets
{} = braces

If there are several nested brackets, begin by evaluating the expression inside the “INNERMOST” brackets first - before you do anything else.

After evaluating the innermost brackets, evaluate the next innermost brackets, and so on - until there are no brackets left.

If there are several non-nested brackets, evaluate every one of them separately - before you do anything else.


Three sets of nested brackets usually look like this:

{ [ ( ) ] }

As an example, consider the following expression:

{[3(10 + 5) + 21]/3}

Note the arrangement of the nested brackets: { [ ( ) ] }

To evaluate this expression, begin by evaluating the most inner brackets (10 + 5). Note that the ( ) are inside the [ ] brackets [ ( ) ]:

(10 + 5) = (15)

Therefore,

{[3(10 + 5) + 21]/3}

= {[3(15) + 21]/3}

= {[3*15 + 21]/3}

= {[45 + 21]/3}

Second, evaluate the next inner most brackets [45 + 20]. Note that the [ ] are inside the { } braces { [ ] }:

[45 + 21] = [66]

Therefore,

= {[45 + 21]/3}

= {[66]/3}

= {66/3}

Third, evaluate the expression inside the braces {65/3}.

{66/3} = {22}

= 22

FINAL ANSWER:

{[3(10 + 5) + 21]/3} = 22


Thanks for writing.


Staff
www.solving-math-problems.com


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