To answer this question, we need to evaluate the value of the digit 6 in the two given numbers: 62.75 and [tex]$6,275.
First, consider the value of the 6 in 62.75:
- In 62.75, the digit 6 is in the tens place.
- Therefore, the value of 6 here is calculated as \(6 \times 10 = 60\).
Next, consider the value of the 6 in $[/tex]6,275:
- In [tex]$6,275, the digit 6 is in the thousands place.
- Therefore, the value of 6 here is calculated as \(6 \times 1,000 = 6,000\).
Now, we need to find the ratio of these two values:
- The value of 6 in 62.75 is 60.
- The value of 6 in $[/tex]6,275 is 6,000.
To find the ratio of these values, divide the value of 6 in 62.75 by the value of 6 in [tex]$6,275:
\[
\frac{60}{6,000} = \frac{60 \div 60}{6,000 \div 60} = \frac{1}{100}
\]
Thus, the value of the 6 in 62.75 compared to the 6 in $[/tex]6,275 is [tex]\(\frac{1}{100}\)[/tex].
