If you look at the whole numbers, they are the same (3). Then, you would go to the tenths place, which is 5. Both number's tenths places are 5. Then, you look at the hundredths place. The first has 4 as its hundredths place. The second number has 5 as its hundredths place. 5 is more than 4, so 3.553 is more than 3.544.
