Question

How do you round \[1462\] to the nearest hundred?

Answer 1

Hint: Rounding off a number follows certain set of rules and guidelines to follow with, the rules for rounding off says that the number at the tenth place will be same if the unit place is less than five and the number at the tenth place will exceed by one if the unit place number is greater or equal to five. This rule is also valid for the next higher places, for rounding off a higher number you have to move step by step.

Complete step by step solution:
The given question is to round off the given number \[1462\] to the nearest hundred, we know that for the number to be considered in hundred we should deal with the unit and tenth place, here for this number we are going to first deal with the two places so that we can round off to the hundred place. On solving we get:
\[
   \Rightarrow\text{ the given number is} 1462 \\
   \Rightarrow \text{the unit place have the number 2 which is less than 5} \\
   \Rightarrow \text{that means the tenth place will remain same} \\
   \Rightarrow \text{the new number after rounding off} = 1460 \\
\Rightarrow \text{now solving for hundred place we see that tenth place is\ greater than 5 hence hundred position will increase by one unit} \\
   \Rightarrow\text{ hence we obtain after rounding off as }= 1500 \\
 \]
Here we obtain the final rounded off number to nearest hundred for the given question which is fifteen hundred.

Note: To round off the number you should follow the given set of rules to go with, rest any method cannot assure the correct answer and approach for rounding off. Rounding off at a time is not limited, that is you can round off to the third or fourth place at a single step if you can imagine the coming solution, but to avoid mistakes we should go step by step.