Answer:
√121 < 10 1/11 < 10.13 < 10.2 (with the repeating decimal)
Explanation:
Before we start, it's helpful to determine the exact values of 10 1/11, 10.2 (with a repeating decimal), and -√121:
Exact value of 10 1/11:
10 1/11 = 10.09090909
Exact value of 10.2 (with a repeating decimal):
10.2 (with a repeating decimal) = 10.22222222
Exact value of -√121:
-√121 = -11
Thus, the numbers from least to greater are:
-√121 < 10 1/11 < 10.13 < 10.2 (with the repeating decimal):