Number Decomposition: Breaking Down 300.6 into Place Values

Choose the correct decomposition of the number 300.6.

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: $300 + 0.6$.