Question

What digit is found at the 13th decimal place of Pi? A) 5 B) 0 C) 4 D) 1

Answer 1

The digit found at the 13th decimal place of Pi is C) 4.

Step-by-step explanation:

Pi (π) is an irrational number, which means it has an infinite number of decimal places that do not repeat. The decimal expansion of Pi begins as follows: 3.1415926535897. To find the digit at the 13th decimal place, we count 13 places after the decimal point. Therefore, the digit at the 13th decimal place is 4.

`\[3.1415926535897\textbf{4}...\]`

Understanding the decimal places of Pi is essential in various mathematical and scientific applications. While many calculations involving Pi use a limited number of decimal places (often just 3.14), certain scientific and mathematical endeavors require a more precise representation of Pi. In such cases, the specific digits beyond the standard 3.14 are considered.

In this instance, identifying the digit at the 13th decimal place provides a glimpse into the intricate and seemingly random pattern of Pi's decimal expansion. Each subsequent digit in Pi holds mathematical significance, contributing to its importance in geometry, trigonometry, and various scientific fields where precise numerical values are essential.