Question

How do you round $265, 427$ to the nearest ten thousand?

Answer 1

Hint:
Here in these types of problems, we need to identify the ten thousand placeholders which are fifth from the right, and then we need to see which digit is next to it. If it is greater than or equal to $5$ then we will add one to the ten-thousandth place and replace all the succeeding digits as $0$ as we need to make it the multiple of ten thousand.

Complete step by step solution:
Here we are given the six-digit number which is $265,427$ and we need to convert it into the nearest ten thousand. So we need to know that from the right we have the digit at ones, tens, hundredth, thousand, ten-thousandth place. For example: If we have the number say $145879$ so we can say that $9$ is at one place, $7$ at tens, $8$ at the hundredth place, $5$ at the thousandth place, and $4$ at a ten-thousandth place. If we need to convert it to the nearest ten thousand places, we just need to make it the multiple of ten thousand. So it will be of the form $140,000$but this will be wrong as here we need to see even the previous to the ten thousand places which is the thousandth place. If it is greater than or equal to $5$ then we will add one to the ten-thousandth place.
As here thousandth place is $5$ so we will add one at the ten-thousandth place so we will get $150,000$.
Now similarly we are given the digit $265,427$ and we need to convert it to the nearest ten thousand. Here we can see that $7$ is at one place, $2$ at tens, $4$ at the hundredth place, $5$ at the thousandth place, and $6$ at ten-thousandth place. If we need to convert it to the nearest ten thousand places, we just need to make it the multiple of ten thousand. So it will be of the form $260,000$but this will be wrong as here we need to see even the previous to the ten thousand places which is the thousandth place. If it is greater than or equal to $5$ then we will add one to the ten-thousandth place.
As here thousandth place is $5$ so we will add one at the ten-thousandth place so we will get $270,000$.

Hence we get the answer as $270,000$.

Note:
Here the student must remember this point that we need to even check the next digit to the ten thousand places that are the thousandth place as it will decide whether we have to add one or not. For example: if we have the number $264,425$ here it would have been $260,000$ as a thousandth digit is less than $5$.