Number Decomposition: Breaking Down 300.6 into Place Values

The task is to decompose 300.6 into its constituent parts based on its decimal structure.

The number 300.6 consists of:

• 300, which is the whole number (integer) part.
• 0.6, which is the fractional (decimal) part.

To decompose 300.6 correctly, we must express it as the sum of these two components:

$300.6 = 300 + 0.6$

Now, let's evaluate the provided answer choices:

• Choice 1: $300 + 0.6$ - This correctly represents the decomposition.
• Choice 2: $300 + 6$ - This incorrectly assumes 0.6 is just 6.
• Choice 3: $30 + 306$ - This misrepresents both the integer and the decimal parts.
• Choice 4: $30 + 0.6$ - This only partially decomposes the integer incorrectly.

Therefore, the correct decomposition of 300.6 is choice 1: $300 + 0.6$.