How do you simplify (-105 dividedBy 35+6) (9) ?

1 Answer
Jul 10, 2015

(-105 dividedBy 35+6)(9) = 27

Explanation:

Rewriting using standard symbols:
color(white)("XXXX")(-105 div 35 + 6)(9)

Everything inside the parentheses is done first with parentheses evaluated left to right
So (-105 div 35 + 6) is evaluated first

color(white)("XXXX")Within the parentheses multiplication and division is done before addition and subtraction
color(white)("XXXX")So -105 div 35 is done first
color(white)("XXXX")color(white)("XXXX")-105 div 35 = -3
color(white)("XXXX")(-105div 35 + 6) therefore becomes (-3 +6)
color(white)("XXXX")color(white)("XXXX")-3+6 = 3
color(white)("XXXX")(-105 div 35 +6) becomes (-3+6) becomes (3) or just 3

Moving to the second set of parentheses:
we have nothing to evaluate except (9) = 9

We are left with an implied multiplication
color(white)("XXXX")3xx9 = 27