In a repeating decimal 0.1234512345…., What is the 2018th digit to the right of the decimal number?​

1 thought on “In a repeating decimal 0.1234512345…., What is the 2018th digit to the right of the decimal number?​”

1. Step-by-step explanation:

   Given:–

   The repeating decimal is 0.1234512345…

   To find:–

   In a repeating decimal 0.1234512345…., What is the 2018th digit to the right of the decimal number?

   Solution:–

   Given decimal number = 0.1234512345…

   It is a non terminating recurring decimal

   The period of the number = 12345

   Periodicity of the number = 5

   The 2018th digit the right of the decimal

   =>2018 can be written as

   =>2015+3

   2015 is a multiple of 5 so the pattern is completed .

   So ,2015 th digit = 5

   2016th digit = 1

   2017th digit = 2

   2018 th digit = 3

   (or)

   2018/5 = 403.6

   So the pattern would repeat 403 times.

   2016th digit = 1

   2017th digit = 2

   2018 th digit = 3

   Answer:–

   In a repeating decimal 0.1234512345…the 2018th digit to the right of the decimal number is 3

   Reply