Accurate to n Decimal Places/Examples/Pi to 4 Places

Example of Accurate to $n$ Decimal Places

The constant pi ($\pi$) expressed accurate to $4$ decimal places is:

$\pi \approx 3 \cdotp 1415$

Proof

We start with the decimal expansion of $\pi$:

The decimal expansion of $\pi$ starts:

$\pi \approx 3 \cdotp 14159 \, 26535 \, 89793 \, 23846 \, 26433 \, 83279 \, 50288 \, 41971 \ldots$

and so $\pi$ expressed to the first $4$ decimal places is:

$3.1415$

$\blacksquare$

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): accurate or correct: 2. (accurate to $n$ decimal places)