Final answer:
To round 8.569 to the nearest hundred, you round up because the digit in the tens place is greater than 5. So, the correct answer is option 1) 800.
Step-by-step explanation:
To round 8.569 to the nearest hundred, we consider the digit in the tens place, which is 5. Since 5 is exactly halfway between 0 and 10, we round to the nearest even number.
In this case, the digit in the tens place is greater than 5, so we round up. Rounding up means adding 1 to the hundreds place, making it 9.
Therefore, the rounded value is 9 in the hundreds place and 0 in the tens and units' places, resulting in 900. This method ensures a balanced rounding approach, considering both the upward and downward possibilities when the digit in the rounding position is exactly 5.
So, the correct answer is option 1) 800.