To determine which is greater between 3.44 and 3.432, we need to compare these two values.
Step 1: Compare the decimal part before the decimal point:
In both numbers, the part before the decimal point is equal (3). Thus there is no distinction there.
Step 2: Compare the decimal part after the decimal point:
The number after the decimal point for the first value is 44, and for the second value, it is 432. Although 432 is more than 44, we need to pay attention to the place value. Here, we are actually comparing 0.44 and 0.432.
Decomposed, 0.44 is like 44 hundredths, while 0.432 is like 432 thousandths. Even though 432 looks larger than 44, since it is counted in terms of a smaller unit (thousandths) it's value is actually less than 0.44.
In conclusion, comparing these two decimal fractions clearly shows us that 3.44 is greater than 3.432.