f. Arrange in order from least to greatest: \( 1.3,1.35,1 . \overline{3} \)

To arrange the numbers \(1.3, 1.35, 1.\overline{3}\) in order from least to greatest, we need to compare their decimal representations. 1. \(1.3\) is a terminating decimal with two decimal places. 2. \(1.35\) is a terminating decimal with three decimal places. 3. \(1.\overline{3}\) is a repeating decimal where the digit 3 repeats infinitely. To compare these numbers, we can convert them to a common form. Let's convert \(1.\overline{3}\) to a decimal form by dividing it by 9: \[1.\overline{3} = \frac{1}{9} + \frac{3}{9} = \frac{4}{9} \approx 0.4444\] Now, we can compare the decimal representations: 1. \(1.3\) is less than \(1.35\). 2. \(1.35\) is less than \(1.\overline{3}\) (which is approximately 0.4444). Therefore, the order from least to greatest is: 1. \(1.3\) 2. \(1.35\) 3. \(1.\overline{3}\)