Explain how I would organize my step by step calculations in evaluating the order of operations problem below. (Remember PEMDAS) there should be 5 steps in this calculation. For full credit you must fill in the blanks with your step by step explanation as well as computation for the correct answer.
8÷2(1+3)-2in the 3rd power
Step 1: Simplify the expression inside the parentheses.
1 + 3 = 4
Step 2: Raise the result from step 1 to the 3rd power.
4^3 = 64
Step 3: Perform the multiplication inside the parentheses.
8 ÷ 2 * 64 - 2
Step 4: Perform the division.
8 ÷ 2 = 4
4 * 64 - 2
Step 5: Perform the final subtraction.
4 * 64 = 256
256 - 2 = 254
Final Answer: 254
To evaluate the given expression using the order of operations (PEMDAS), follow these steps:
Step 1: Simplify within parentheses.
8 ÷ 2(1+3)-2^3
= 8 ÷ 2(4)-2^3
= 8 ÷ 8 - 2^3
Step 2: Evaluate powers.
= 8 ÷ 8 - 8
Step 3: Perform multiplication and division from left to right.
= 1 - 8
Step 4: Perform subtraction.
= -7
Step 5: Final result.
The final answer is -7.