Final answer:
Numbers from 255 to 264 will round to 260 when rounded to the nearest 10. The rules of rounding state that numbers round up if the ones place is 5 or greater, and round down if it is less than 5.
Step-by-step explanation:
To determine which number rounds to 260 when rounded to the nearest 10, we need to consider the rounding rules. Any number that is halfway between two multiples of 10 (like 255 and 265) will round up to the higher multiple if the digit in the ones place is 5 or more, and round down to the lower multiple if it is less than 5. Therefore, any number from 255 to 264 would round to 260 when applying these rules.
Rounding off is important to provide a more convenient number, especially in calculations. It's crucial to round off to the correct place value to maintain accuracy. If we look at the given ranges like .259 to .264, those would all round down to .260 if we are rounding to the nearest hundredth. However, since we want to round to the nearest ten, we consider the range 255-264.