Question

Find the smallest and greatest numbers which are rounded off to the nearest hundreds as $900$.

Answer 1

To round off to nearest hundred, we observe the digit at tens place. If it is greater than or equal to $5$, we round it up and if it is less than $5$ we round it down.

Since, the greatest number is rounded off to $900$, this means that its tens digit must be less than $5$.

For example: Round off of $935$ to nearest hundreds will be $900$.

Hence, the greatest number that rounds off to $900$will be $949$.

Similarly, the smallest number that is rounded off to $900$ must have its ten's digit $5$ or greater then $5$

For example: Round off of $879$ to nearest hundreds will be $900$.

Hence, the smallest number that rounds off to $900$ will be $850$

Hence, smallest number is $850$ and largest is $949$.