Round off to the nearest 10 places of 100993:

To round off a number to the nearest 10 places, we need to determine whether the digit in the unit place is closer to 0 or 10.

Step 1: Identify the digit in the unit place:
In the given number 100993, the digit in the unit place is 3.

Step 2: Determine whether to round up or round down:
To make this determination, we look at the digit in the tens place, which is 9 in this case. Since 9 is greater than or equal to 5, we round up.

Step 3: Round off the number:
To round up, we add 1 to the digit in the tens place and replace all digits to the right with zeros. Therefore, the number 100993 rounded off to the nearest 10 places is 101000.

Explanation:
When rounding off to the nearest 10 places, the digit in the unit place, which is 3 in this case, is the deciding factor. If the digit in the unit place is less than 5, the number is rounded down to the nearest 10. If the digit in the unit place is 5 or greater, the number is rounded up to the nearest 10.

In the given number 100993, the digit in the unit place is 3. Since 3 is less than 5, we do not round up. However, the digit in the tens place is 9, which is greater than or equal to 5. Therefore, we round up the digit in the tens place by adding 1 to it, resulting in 10. We replace all digits to the right of the tens place with zeros, giving us the rounded off number 101000.

Summary:
To round off the number 100993 to the nearest 10 places, we determine that the digit in the unit place is 3. Since the digit in the tens place is 9, we round up by adding 1 to it. The resulting number is 101000.

101000