What is #42-:12*82+3#, using order of operations?

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Answer 1 · 2016-08-03T12:09:58

#290#

Count the number of terms first. Each term must be simplified to a single answer which will be added or subtracted in the last line.

Multiplication and division are equally strong, so can be done in any order.

#color(red)(42-:12*82)color(blue)(+3) " has 2 terms"#

=#color(red)((42xx82)/12)color(blue)(+3)#

=#color(red)((42xxcancel82^41)/cancel12^6)color(blue)(+3)#

=#color(red)((cancel42^7xx41)/cancel6)color(blue)(+3)#

=#color(red)(287)color(blue)(+3)#

=#290#