Question

What is $98,464$ rounded to the nearest ten thousand?

Answer 1

Hint: In order to round off the given number to the nearest ten thousand, first look about the cut-off point, or the digit which is in the ten thousand’s place. Next look for the digit on the right side of the cut-off point, compare it with $5$, and round off the value accordingly.

Complete step by step solution:
We are given the number $98,464$.
The digit in the ten thousand’s place is $9$, so considering the space between $9$ and $8$our cut off point., which is represented as:
$9|8,464$, where “|” is the cut-off point.
Now, on the right-hand side of the cut-off point we have $8$ which is greater than $5$.
As, we know that if the value next cut-off point on the right side is $ \geqslant 5$, then the value is rounded up and plus $1$ is added to the left value of the cut-off point and rest every digit becomes zero.

So, accordingly $1$ is added to the left value of cut-off point that is $9$, and the rest value becomes zero and we get:
$98,464 = \left( {9 + 1} \right)0000 = 100,000$, which is our rounded number.

Therefore, $98,464$ rounded to the nearest ten thousand is $100,000$.

Note:
1) If the number on the right of the cut-off point is $ \leqslant 5$, then the value is rounded down and excluding the number on the left of the cut-off point, rest every digit becomes zero.
2) There can be any round off to nearest places like, nearest ten, nearest hundred, etc All will work similarly. The cut-off point would be selected and rest steps will follow as same.