Final answer:
To round a number to the nearest hundred, look at the digit in the tens place. If the digit in the ones place is 5 or greater, increase the tens place digit by 1 and replace all digits in the ones and tens places with zeros.
Step-by-step explanation:
Hannah rounded 17,582 to the nearest hundred. To round a number to the nearest hundred, we look at the digit in the tens place, which is 8. If the digit in the ones place is 5 or greater, we increase the tens place digit by 1 and replace all digits in the ones and tens places with zeros.
In this case, since the digit in the ones place is 5 or greater (it's 7), we round up the tens place digit to 9 and replace the ones and tens places with zeros. Therefore, Hannah rounded 17,582 to the nearest hundred, which is 17,600.