a) (4) – (3) x (-2) =
b) (3) + (-5) ÷ (-1) x (-6 - 9 ) =
c) (-8)² ÷ (-4) – (12) + (-8)
a) To solve this expression, follow the order of operations, which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
Start by simplifying within the parentheses first:
(4) - (3) x (-2)
= 4 - (-6)
= 4 + 6
= 10
b) Again, follow the order of operations. Start by simplifying within the parentheses first:
(3) + (-5) ÷ (-1) x (-6 - 9 )
= 3 + (-5) ÷ (-1) x (-15)
= 3 + 5 x (-15)
= 3 + (-75)
= -72
c) Following the order of operations, begin with the exponent and then simplify the rest of the expression:
(-8)² ÷ (-4) – (12) + (-8)
= 64 ÷ (-4) – 12 + (-8)
= -16 – 12 + (-8)
= -36 + (-8)
= -44