Final answer:
In the number 7.999, the digit that is 1/10 the value of the 9 in the hundredths place is in the thousandths place.
Step-by-step explanation:
In the number 7.999, the digit that is 1/10 the value of the 9 in the hundredths place is in the thousandths place. To understand why, consider that each position to the right of the decimal point represents a successive power of 1/10. The first digit to the right is in the tenths place, the next is in the hundredths place, and the one after is in the thousandths place.
Therefore, if we take the 9 in the hundredths place (which is 9/100), and we want to find a digit that is 1/10 of this value, we move one place to the right, which is the thousandths place. So, in the number 7.999, the 9 in the thousandths place is 1/10 of the value of the 9 in the hundredths place because it is 9/1000, which is ten times less than 9/100 or simple mathematically 1/10 of 9/100.