Round 3.14159 to 2 Decimal Places

Round 3.14159 to 2 decimal places with step-by-step explanation of the rounding rules.

Round to decimal places
Answer: 3.14159 ≈ 3.14
Step-by-Step Solution
Step 1 Understand Rounding

Rounding simplifies a number while keeping it close to the original value.


The rule: Look at the digit to the RIGHT of where you're rounding.

• If it's 5 or greater: round UP (increase the digit)

• If it's less than 5: round DOWN (keep the digit the same)

Step 2 Identify the Deciding Digit

We want to round 3.14159 to the 2 decimal places.


The deciding digit (the one to the right of our rounding position) is: 1

Step 3 Apply the Rounding Rule

The deciding digit is 1.


Since 1 is less than 5, we round DOWN.


3.14159 rounded to 2 decimal places = 3.14

Step 4 Verify the Result

Original number: 3.14159

Rounded result: 3.14


The difference is 0.0015900000, which confirms our rounding is correct.


The rounded value is as close as possible to the original while having only 2 decimal places.