0420. What is the value of adding more bits to the mantissa? How can this be illustrated?

The more bits we allocate to the mantissa, the more precision we will have. In other words, we will be able to represent a number to more decimal points.

Consider the numbers: 0.803 and 0.8028765

Even though the number 0.803 is larger than 0.8028765, It takes more bits to represent the latter number (because it contains more digits)