Final answer:
The value of the digit 3 in 903.7 is 29.7 larger than its value in 4.31 because 3 holds a tens place value in 903.7 versus a tenths place value in 4.31.
Step-by-step explanation:
To find out how much larger the value of the digit 3 is in 903.7 compared to its value in 4.31, we need to analyze the place value of each 3 in both numbers. In the number 903.7, the digit 3 is in the tens place, which means it has a value of 30 (3 tens). In the contrast, in the number 4.31, the digit 3 is in the tenths place, representing a value of 0.3 (3 tenths).
Now, we subtract the smaller value from the larger value to find the difference:
30 (value of 3 in 903.7) - 0.3 (value of 3 in 4.31) = 29.7
Therefore, the value of the digit 3 in 903.7 is 29.7 greater than its value in 4.31.