Final answer:
The 3 in 0.3 is 100 times greater than the 3 in 0.203 because 0.3 represents 3 tenths while 0.203 represents 3 thousandths, and 3 tenths divided by 3 thousandths equals 100.
Step-by-step explanation:
To find out how many times greater the 3 in 0.3 is than the 3 in 0.203, we first need to understand the value of the digit 3 in each of the numbers. In the number 0.3, the digit 3 is in the tenths place, which means it has a value of 3 x 10-1 or 3/10. In the number 0.203, the digit 3 is in the thousandths place, meaning it has a value of 3 x 10-3 or 3/1000.
To compare these values, you simply divide the greater value by the lesser value. Hence, (3/10) / (3/1000) = (3 x 1000) / (3 x 10) = 1000 / 10 = 100. So, the 3 in 0.3 is 100 times greater than the 3 in 0.203.