Final answer:
Option C, 12,500, is the number where the value of the digit 1 represents 10 times the value of the digit 1 in 21,005, because in 12,500, the digit 1 is in the ten thousands place, giving it a value of 10,000.
Step-by-step explanation:
The question asks to identify in which number the value of the digit 1 represents 10 times the value of the digit 1 in 21,005. To determine this, we look at the place value of the number 1 in each of the options provided. In the number 21,005, the digit 1 is in the thousands place, which means it has a value of 1,000. Therefore, to be 10 times more, the value of the digit 1 would need to be 10,000.
Now let's look at the options given:
- A) 1,205 - The digit 1 is in the thousands place (value of 1,000).
- B) 2,010 - The digit 1 is in the tens place (value of 10).
- C) 12,500 - The digit 1 is in the ten thousands place (value of 10,000).
- D) 20,150 - The digit 1 is in the hundreds place (value of 100).
It is clear from the examination that option C) 12,500 is the number in which the value of the digit 1 represents 10 times the value of the digit 1 in 21,005, since in this number, the digit 1 has a value of 10,000.