The precedence rules, also known as the order of operations, determine the order in which arithmetic operations are performed. In the expression 2**3/2*6-4*(3-4/2), the operations are performed in the following order:
- Exponentiation
(**): 2**3
- Division
(/): (2**3)/2
- Multiplication
(*): ((2**3)/2)*6
- Subtraction
(-): (((2**3)/2)*6)-4
- Multiplication
(*): (((2**3)/2)*6)-4*3
- Division
(/): (((2**3)/2)*6)-4*(3-4/2)
The final result is -1.
The precedence rules for arithmetic operations specify the
order in which operations are performed. In the expression you provided, **
(exponentiation) has the highest precedence, followed by *, /,
and - (multiplication, division, and subtraction, respectively).
Parentheses can be used to group operations and change the order in which they
are performed.
Here is the order of operations, from highest precedence to
lowest:
- Exponentiation
(**)
- Multiplication
and division (* and /) (performed left to right)
- Addition
and subtraction (+ and -) (performed left to right)
In the expression you provided, the parentheses group 3-4/2
as (3-4)/2. Therefore, the expression is evaluated as follows:
print(2**3/2*6-4*(3-4/2))
# => 8/2*6-4*(3-4/2)
# => 8/2*6-4*(-1/2)
# => 4*6-4*(-1/2)
# => 24-4*(-1/2)
# => 24-4*(-0.5)
# => 24-2
# => 22So the result of the expression is 22.
