How do you evaluate #12\div [ 9\times ( 11- 8) - 21]#?

1 Answer
Jim G.
Apr 3, 2017

#2#

Explanation:

When evaluating expressions with #color(blue)"mixed operations"# there is a particular order that must be followed.

Follow the order as set out in the acronym PEMDAS

[Parenthesis ( brackets ), Exponents ( powers ), Multiplication, Division, Addition, Subtraction ]

Given 2 sets of brackets always evaluate the #color(blue)"inner"# bracket before evaluating the #color(blue)"outer"# bracket.

#12 -:[9xxcolor(red)(3)-21]larrcolor(red)" inner bracket"#

#=12-:[color(magenta)(27)-21]larrcolor(red)" multiplication"#

#=12-:color(magenta)(6)larrcolor(red)"subtraction/ outer bracket"#

#=2larrcolor(red)" division"#

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