Final answer:
Aubra is correct; 1.265 should be rounded up to 1.27 according to standard rounding rules, which dictate rounding to the nearest even number in such cases.
Step-by-step explanation:
The question revolves around how to correctly round off the number 1.265 to the nearest hundredth. When rounding a number that is exactly halfway between two increments (in this case, 1.26 and 1.27), the correct approach according to the standard rounding rules (also known as. rounding half to even or banker's rounding) is to round to the nearest even number. Thus, Aubra is correct in saying that the number should be rounded up to 1.27, since the hundredths place is 6, which is an even number. Tony's assertion that it could be rounded to either value is a common misconception.