To round 4600 to the greatest hundred, we need to look at the hundreds digit, which is 6. Since the digit to the right of the hundreds place is 0, we do not need to round up. Therefore, 4600 rounded to the greatest hundred is 4600 itself.
Well, darling, if we're rounding 4600 to the nearest hundred, we look at the digit in the hundreds place, which is 6. Since 6 is greater than 5, we round up to the next hundred. So, 4600 rounded to the greatest hundred is 4700. Hope that clears things up for you, sweetie!