How do you evaluate $2 + 6 (9 - 3^{2}) - 2$ $2+6(9-3^2)-2$ ?

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How do you evaluate $2 + 6 (9 - 3^{2}) - 2$ $2+6(9-3^2)-2$ ?

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Answer 1 · 2017-03-25T21:58:25

The answer is $0$ $0$ .

Explanation:

Use the order of operations $(PEMDAS)$ $("PEMDAS")$ .

$P$ $color(red)"P"$ = parentheses
$E$ $color(blue)"E"$ = exponents
$MD$ $color(orange)"MD"$ = multiplying and dividing
$AS$ $color(violet)"AS"$ = adding and subtracting

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$2 + 6 (9 - 3^{2}) - 2 XXX$ $2+6 color(red)((9-3^2)) -2 color(white)"XXX"$ Evaluate the $P$ $color(red)"P"$ arentheses

within parentheses, we start over with $PEMDAS$ $"PEMDAS"$

$(9 - 3^{2}) XXXXXXX$ $(9-3^2) color(white)"XXXXXXX"$ No $P$ $color(red)"P"$ arentheses
$(9 - 3^{2}) XXxxxxxxx$ $(9-color(blue)(3^2)) color(white)"XXxxxxxxx"$ Evaluate the $E$ $color(blue)"E"$ xponents
$(9 - 9) xxXXxxxxxx$ $(9-9) color(white)"xxXXxxxxxx"$ No $M$ $color(orange)"M"$ ultiplication or $D$ $color(orange)"D"$ ivision
$(9 - 9) xxXXxxxxxx$ $(color(violet)(9-9))color(white)"xxXXxxxxxx"$ Evaluate the $A$ $color(violet)"A"$ ddition and $S$ $color(violet)"S"$ ubtraction
$= (0)$ $=(0)$

$2 + 6 (0) - 2 XXXXXX$ $2 + 6(0) - 2 color(white)"XXXXXX"$ No $E$ $color(blue)"E"$ xponents

$2 + 6 (0) - 2 XXXXXX$ $2 + color(orange)(6(0)) - 2 color(white)"XXXXXX"$ Evaluate the $M$ $color(orange)"M"$ ultiplication and $D$ $color(orange)"D"$ ivision

$2 + 0 - 2 XXXXXXX/$ $color(violet)(2+0-2) color(white)"XXXXXXX/"$ Evaluate the $A$ $color(violet)"A"$ ddition and $S$ $color(violet)"S"$ ubtraction

$= 0$ $=0$

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