Question

What digit is found at the 456th decimal place of Pi? A) 1 B) 2 C) 3 D) 4

Answer 1

B) 2

Step-by-step explanation:

Answer 2

The digit found at the 456th decimal place of Pi is 1, option A.

Step-by-step explanation:

The decimal expansion of Pi is an infinite non-repeating sequence. To find the digit at the 456th decimal place, we can use modular arithmetic. The decimal expansion of Pi begins 3.14159..., so we consider the position 456 modulo 6 (the length of the repeating block "141592").

456mod6=0.

Since the remainder is 0, the digit at the 456th decimal place corresponds to the last digit of the repeating block, which is 1. Therefore, the correct answer is option A, and the digit at the 456th decimal place of Pi is 1.

Option A is answer.