Question

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 1/9?

A) 0
B) 1
C) 9
D) 0.1
E) 0.111...

Answer 1

The smallest sequence of repeating digits in the decimal equivalent of 1/9 is the digit 1, which repeats indefinitely as 0.111...

Step-by-step explanation:

The digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 1/9 are 1. When we divide 1 by 9, we get 0.111..., and this pattern continues indefinitely. or The decimal equivalent of 1/9 is 0.111..., which means the digit 1 repeats in this sequence So, the smallest sequence of repeating digits is 1, which keeps repeating after the decimal point.