Final answer:
The value of the expression −[−145÷0.3(1.2)]−56 after following PEMDAS order of operations and carrying out the correct calculations is 347. However, this is not among the provided options, indicating a possible error in the question.
Step-by-step explanation:
To evaluate the expression −[−145÷0.3(1.2)]−56, we first need to solve the operation within the brackets, then subtract 56.
- Inside the brackets, multiply 0.3 by 1.2, which equals 0.36.
- Next, divide -145 by 0.36, which equals -402.777...
- Since we have a negative sign outside the brackets, we need to change the sign of the result we obtained, turning -402.777... into 402.777...
- Lastly, subtract 56 from 402.777... to get the final answer.
Calculating the last step, 402.777... − 56, we get 346.777..., which can be rounded to 347, considering it is not one of the provided options, there might be a calculation error or typo in the question.
What is the order of operations in math? The order of operations are the rules that tell us the sequence in which we should solve an expression with multiple operations. The order is PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition and Subtraction (from left to right).