To simplify the expression 8 + 32 ÷ 42 × 2 using the correct Order of Operations, you should follow these steps:
1. Start by performing any calculations within parentheses (or brackets) first. There are no parentheses in this expression, so we can move on to the next step.
2. Next, evaluate any exponents or roots. Again, there are none in this expression.
3. Moving from left to right, perform any multiplication or division operations. In this case, we have 32 ÷ 42, which equals 0.7619 (rounded to four decimal places).
4. Finally, move from left to right and perform any addition or subtraction operations. Here, we have 8 + 0.7619 × 2.
To determine the final answer, we can multiply 0.7619 by 2, and then add the result to 8.
Calculating 0.7619 × 2 gives us 1.5238.
Adding 1.5238 to 8 gives us the final answer: 9.5238.
Therefore, the simplified expression is 9.5238.