Final answer:
The least decimal in hundredths that can be rounded up to 14.5 is 14.45, considering the rules for rounding decimals to the nearest tenths place.
Step-by-step explanation:
The question asks for the least decimal number in hundredths that can be rounded to 14.5 when considering significant figures and the rules for rounding.
When rounding numbers, we look at the digit immediately after the place we are rounding to. Since we are looking for a decimal in the hundredths place, the tenths place is 0.1. For a number ending in the hundredths place to round up to 14.5, it would have to be 14.45 or higher.
Therefore, the least decimal in hundredths that can be rounded up to 14.5 is 14.45 because the digit in the hundredths place (5) indicates that the tenths place (4) should be rounded up.