Rounding to decimal places

We can round numbers to the nearest decimal places using these steps:

1. Find the digit at the th decimal place.
2. Check if the number after that is less than 5:
   • If less than 5, you are rounding down, so keep the th decimal place the same.
   • If more than or equal to 5, you are rounding up, so increase the th decimal place by one (if it is 9, it becomes 0 and you carry 1 to the left, where you do the same).
3. Remove all digits after the th decimal place.

Examples

Round to 2 decimal places

• 2nd decimal place is .
• The number after that is .
• is less than , so we round down and keep the the same.
• Remove all digits after the 2nd decimal place, giving .
• Answer: .

Round to 3 decimal places

• 3rd decimal place is .
• The number after that is .
• is less than , so we round down and keep the the same.
• Remove all digits after the 3rd decimal place, giving .
• Answer: .

Round to 4 decimal places

• 4th decimal place is .
• The number after that is .
• is equal to , so we round up and increase the by to get .
• Remove all digits after the 4th decimal place, giving .
• Answer: .

Round to 2 decimal places

• 2nd decimal place is .
• The number after that is .
• is more than , so we round up and increase the by to get .
• Since becomes , we set the 2nd decimal place to and increase the 1st decimal place by (which is ) to get (so now we have ).
• Remove all digits after the 2nd decimal place, giving .
• Answer: .