Given:
The list of numbers have three numbers
To find:
The correct list which shows numbers ordered least to greatest.
Solution:
First we have to convert all numbers in decimal form.
Here, two numbers are already in decimal form.
All numbers before decimal are equal, i.e., 1. So, check the numbers after decimal.
Two numbers have 0 after decimal and
has 1 after decimal. So,
number is greatest.
Now, compare the digit on hundredth place (second place after decimal).
Both numbers 1.01 and1.011111... have 1 on hundredth place.
Now, compare the digit on thousandth place (third place after decimal).
Number 1.01 have nothing on thousandth place. So, it is 0.
Number 1.011111... has 1 on thousandth place. So, 1.011111... is greater than 1.01.
Now, the arrangement in ordered least to greatest is
Therefore, the correct option is C.