Rounding 0.16 Recurring to 3 Decimal Places
When dealing with recurring decimals, it's essential to understand how to round them to a specific number of decimal places. In this article, we will explore how to round 0.16 recurring to 3 decimal places.
What is 0.16 Recurring?
0.16 recurring is a decimal that has an infinite sequence of 16s. It can be written as 0.1616... where the pattern of 16 repeats indefinitely.
Rounding to 3 Decimal Places
To round 0.16 recurring to 3 decimal places, we need to look at the fourth decimal place, which is the first digit after the 3 decimal places. If the fourth decimal place is 5 or greater, we round up; otherwise, we round down.
Step-by-Step Rounding Process
- Write down the original decimal: 0.1616...
- Identify the 3 decimal places: 0.161
- Look at the fourth decimal place: 6 (which is greater than 5)
- Round up: 0.162
Result
0.16 recurring rounded to 3 decimal places is 0.162.
In conclusion, rounding 0.16 recurring to 3 decimal places involves looking at the fourth decimal place and deciding whether to round up or down. In this case, the fourth decimal place is 6, which is greater than 5, so we round up to get 0.162.
