# How do you Round to the Nearest Ten Thousand

## How do you Round to the Nearest Ten Thousand

### Rounding off numbers

We have already learnt rounding off the numbers to the nearest tens, hundreds, etc. Let us review them. Let us consider a number, say 12 on a number line. It lies between 10 and 20. We observe that the gap between 10 and 12 is less than the gap between 12 and 20, i.e., 12 is nearer to 10 than 20. So, we round off 12 to 10, that is, to the nearest ten.
Similarly, if we take a number say 16, then it is nearer to 20 as compared to 10. So, we will round off 16 to the nearest ten as 20.
But if number 15 is considered, which is at equal distance from both 10 and 20, it is also rounded off to 20.
Similarly,

1. In 46, the digit in the ones place is 6. Hence, 46 rounded off to the nearest ten is 50.
2. In 251, the digit in the ones place is 1. Hence, 251 rounded off to the nearest ten is 250.
3. In 345, the digit in the tens place is 4. Hence, 345 rounded off to the nearest hundred is 300.
4. In 9157, the digit in the tens place is 5. Hence, 9157 rounded off to the nearest hundred is 9200.
5. In 5473, the digit at the hundreds place is 4. Hence, 5473 rounded off to the nearest thousand is 5000.

### Rounding off a number to the nearest ten thousand

1. Consider the digit in thousands place of the given number.
2. If it is less than 5, replace the digits in thousands, hundreds, tens, and ones by 0, keeping the digits in other places as they are.
3. If it is 5 or more than 5, replace the digits in thousands, hundreds, tens, and ones by 0 and increase the digit in ten thousands by 1.

Examples

1. In number 18785, the digit in thousands place is 8 and 8 > 5, so when rounded off the number nearest to ten thousand is 20000.
2. In number 73568, the digit in thousands place is 3 and 3 < 5, so when rounded off the number nearest to ten thousand is 70000.

### Rounding off a number to the nearest lakh

1. Consider the digit in ten thousands place of the given number.
2. If it is 5 or more than 5, replace the digits in ten thousands, thousands, hundreds, tens, and ones by 0 and increase the digit in lakhs by 1.
3. If it is less than 5, replace the digits in ten thousands, thousands, hundreds, tens, and ones by 0 keeping the digits in other places as they are.

Examples

1. In number 560712, the digit in ten thousands place is 6, and 6 > 5, so the rounded off number is 600000.
2. In number 821058, the digit in ten thousands place is 2, and 2 < 5, so the rounded off number is 800000.