What is $42 \div 12 \cdot 82 + 3$ $42-:12*82+3$ , using order of operations?

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Answer 1 · 2016-08-03T12:09:58

$290$ $290$

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.

$42 \div 12 \cdot 82 + 3 has 2 terms$ $color(red)(42-:12*82)color(blue)(+3) " has 2 terms"$

= $\frac{42 \times 82}{12} + 3$ $color(red)((42xx82)/12)color(blue)(+3)$

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

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

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

= $290$

What is 42-:12*82+342÷12⋅82+342-:12*82+3, using order of operations?