According to the order of operations, brackets are solved first which contains the division operation. Hence, 12 is divided by -6 first.
Order of Operations
Given expression is,
(12 ÷ (-6))(3) + (-2)
According to the BODMAS rule of operations, the precedence order of operations is as follows,
Brackets > Of > Division > Multiplication > Addition > Subtraction
Hence, we will start by solving the brackets first, then solve the division and then the addition.
Evaluation
Solving the given expression as per the order of operations,
Brackets are solved first, then division followed by multiplication and then addition. Division is always of the highest precedence among all operations after brackets and of.
12 ÷ (-6)(3) + (-2)
= 12 ÷ (-6)(3) - 2 [∵ +(-n) = -n]
= (-2)(3) -2
= -6 - 2
= -8
Thus, solving the +(-2) and then division of 12 by (-6) are the first operations to be performed in order to evaluate the given expression.
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