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Understanding the order of operations is crucial when simplifying expressions. The order of operations tells us the sequence in which mathematical operations should be performed to correctly solve an expression.

Remember the acronym PEMDAS to help you remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

In the exercise, we first handle the expression inside the parentheses before moving on to any multiplication. This ensures we follow the correct sequence and arrive at the right answer.

Adding decimals might seem tricky, but it's quite straightforward if you line up the decimal points correctly. Ensuring the numbers are aligned by their decimal points makes it easier to add each column of digits.

In our exercise, we added 10.6 and 0.024. Here’s how you do it:

1. Write each number vertically with the decimal points aligned.
2. If the numbers have a different number of decimal places, fill the smaller number with zeros to the right to match the larger number.
3. Add each digit starting from the rightmost column.

Therefore, adding 10.6 and 0.024 correctly gives us 10.624.

Once the expression inside the parentheses is simplified, the next step is to perform the multiplication. Multiplying decimals with whole numbers is like multiplying whole numbers, but you need to keep track of the decimal places.

To multiply, follow these steps:

1. Ignore the decimal point and multiply the numbers as if they were whole numbers.
2. Count the total number of digits to the right of the decimal points in the original numbers.
3. Place the decimal point in the product so that it has the same number of digits to the right as the combined count from the original numbers.

In our exercise, multiplying 42 by 10.624 results in 446.208. This ensures that you have correctly placed the decimal point in the final answer.