What is the largest decimal number with two decimal places which becomes 3 when rounded to the nearest whole number?

Answer 1

When rounding to a whole number, half of the numbers round up, half round down.

Thus those with a fractional part 0.5 or greater round up, and those with a fractional part less than 0.5 round down.

So the question becomes what is the largest two digit decimal less than 0.5?

The smallest 2 digit decimal is 0.01

→ 0.5 - 0.01 = 0.49 is the largest 2 digit decimal that can round down.

→ 3 + 0.49 = 3.49 is the largest 2 digit decimal number that rounds to 3 when rounded to the nearest whole number.