Final answer:
The number 'eight hundred and seven thousand, two hundred and five' is written in figures as 807,205 using place value system.
Step-by-step explanation:
The student is asking how to write the number 'eight hundred and seven thousand, two hundred and five' using figures. To write this number in figures, we use the place value system, which helps to position each digit in a number correctly. In a place value system, each position in a number represents a specific power of 10, from the ones place, tens place, hundreds place, and so forth, going left.
The number we need to write has 'eight hundred and seven thousand' which is written as '807' followed by the thousand place, meaning we'll add three zeros ('000') for the thousand position.
Then we have 'two hundred and five,' which is simply '205'.
Putting these all together, we write the entire number as 807,205.