Let's first look at the number that we are given.25,973. We would read this number as eighty-nine and five hundred forty seven thousandths.
In this number, the 5 is in the tenths place. That is equivalent to 5/10 or five tenths (five divided by ten or 0.5).
The questions asks you to write a number in which the digit "5" is one-tenth the value of the number 5 in 25,973
You are looking for a number that is one-tenth of 0.5. Remember, one-tenth equals 1/10 which equals 0.1.
One-tenth of 0.5 equals 0.1 multiplied by 0.5 which equals 0.05. Hence, the number 5 has to be in the hundredths place to answer the question.
Using the number that we were given (89.547), if you multiply 25,973 by (1/10) you get 8.9547.
In the number 8.9547, the digit 5 is one-tenth the value of the number 5 in 25,973
The answer is 8.9547.
I hope this explanation helps.
