Number Decomposition: Breaking Down 600,104 into Place Values

To decompose the number 600,104 correctly using the decimal structure, we will examine each digit and its corresponding place value:

• The digit $6$ is in the hundred-thousands place, so its value is $6 \times 100,000$.
• The digit $0$ is in the ten-thousands place, contributing $0 \times 10,000$, so it is not included in the decomposition.
• The digit $0$ in the thousands place will also not contribute since it is $0 \times 1,000$.
• The digit $1$ is in the thousands place, so its value is $1 \times 1,000$.
• The digit $0$ is in the tens place, contributing $0 \times 10$, so it is not included in the decomposition.
• The digit $4$ is in the units place, so its value is $4 \times 100$.

Combining these, the correct decomposition of $600,104$ is:

$6\times100,000 + 1\times1,000 + 4\times100 = 600,104$

This confirms that the correct answer is choice 3: $6\times100,000 + 1\times1,000 + 4\times100=600,104$.