How do you simplify (4 / 2) + 4(5 - 2)^2 using PEMDAS?

2 Answers
Jim G.
Mar 27, 2018

38

Explanation:

"simplify using PEMDAS"

["P-parenthesis (brackets), E-exponents (powers), "
"M-multiplication, D-division, A-addition, S-subtraction"]

rArr2+4(3)^2larrcolor(red)"parenthesis"

=2+4xx9larrcolor(red)"exponents"

=2+36larrcolor(red)"multiplication"

=38larrcolor(red)"addition"

EZ as pi
Mar 27, 2018

38

Explanation:

The most important thing is to identify and count the number of TERMS first.

Terms are separated by + and - signs.

Each term is simplified to a single answer and they are added or subtracted in the last step.

Within each term: the order is

Brackets
powers and roots
Of
multiplication and division

" "color(blue)((4 / 2))color(red)( + 4(5 - 2)^2)" "larr there are 2 terms
" "darr color(white)(xxx..x)darr" " division and subtraction
=color(blue)((2))" "color(red)( +" " 4(3)^2)
" "darr color(white)(xxx..x)darr
=color(blue)(2)" "color(red)( +" " 4(9)
" "darr color(white)(xxxx.x)darr
=color(blue)(2)" "color(red)( +" " 36)

=38

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