Final answer:
Yes, 20.41 is greater than 20.078. After comparing the digits place by place, it's clear that 20.41 exceeds 20.078.
Step-by-step explanation:
The student asked if 20.41 is more than 20.078. To determine which of the two numbers is greater, we compare the digits from left to right. Both have 20 as the whole number part, so we move to the decimal parts. The tenths place is the same (4 in 20.41 and 0 in 20.078), but in the hundredths place, 20.41 has a 1 whereas 20.078 has a 7.
Since 1 is less than 7, we might think at first glance that 20.41 is less. However, we must also consider the thousandths place; 20.41 has an implied zero in the thousandths place (20.410), which is greater than the 8 in 20.078. Thus, 20.41 is indeed greater than 20.078.