Number Decomposition: Breaking Down 450,182 into Place Values

To decompose the number 450,182, we'll break it down according to its constituent place values:

• The first digit is 4, and it is in the hundred-thousands place. Thus, it contributes $4 \times 100,000$.
• The second digit is 5, and it is in the ten-thousands place. Thus, it contributes $5 \times 10,000$.
• The third digit is 0, and it's in the thousands place, contributing $0 \times 1,000$.
• The fourth digit is 1, and it's in the hundreds place, contributing $1 \times 100$.
• The fifth digit is 8, and it's in the tens place, contributing $8 \times 10$.
• The last digit is 2, and it's in the units place, contributing $2 \times 1$.

Thus, the decomposition of 450,182 is as follows:
$4 \times 100,000 + 5 \times 10,000 + 0 \times 1,000 + 1 \times 100 + 8 \times 10 + 2 \times 1 = 450,182$.

Therefore, the decomposition matches choice id="4": $4\times100,000+5\times10,000+1\times100+8\times10+2\times1=450,182$.