what is the hundredth digit of pi? this would include the 3 in the beginning.
The hundredth digit of π, starting with the leading 3, is 7.
This matches the standard convention where π begins as 3.14159..., counting
the integer digit first, as your query specifies "this would include the 3 in
the beginning."
Pi's Digits Breakdown
Pi (π) is the mathematical constant representing the ratio of a circle's circumference to its diameter, approximately 3.14159, and it's irrational—meaning its decimal expansion never ends or repeats.
The full sequence to 100 digits after the decimal is well-documented across math sites and calculators.
Counting from the start (position 1: 3, position 2: 1, etc.), position 100 lands on 7, just before the decimal's 100th digit (9).
Here's the first 101 digits for reference (positions 1-101), with the 100th digit bolded :
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211**7**06798...
(Source: Standard pi expansions; position 100 is consistently 7 when including the 3.)
Two Common Counting Views
- Including the 3 (your method): 100th digit = 7. This treats π as a sequence of digits starting at the integer part, popular in memorization challenges like the Pi Song (which covers 100 digits ending near there).
- After decimal only: 100th digit = 9. Some sites emphasize this for precision work, but it excludes the leading 3 as specified.
Counting Method| 100th Digit| Example Use Case| Source
---|---|---|---
Including 3| 7| Memorization, quizzes| 15
Post-Decimal| 9| Computational tables| 3
Fun Fact: Pi in Pop Culture
People have memorized hundreds of digits for fun—think math pi day events (March 14) or songs like ASAPScience's "Pi Song" hitting exactly 100 digits by the chorus. As of 2026, supercomputers have calculated trillions of digits, but 100 remains a classic benchmark.
TL;DR: It's 7 when counting the 3 first—easy to verify with any pi generator.
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