Which list of numbers is ordered from least to greatest?

To determine the correctness of the provided answer, it’s important to first convert all the numbers in the options to the same format, preferably decimals, to facilitate comparison.

1. Convert Fraction to Decimal:

• ( \frac{9}{25} ) can be converted by performing the division ( 9 \div 25 = 0.36 ).

• ( \frac{2}{5} ) converts to ( 2 \div 5 = 0.4 ).

2. Understanding Repeating Decimals:

• The notation ( 0.35¯ ) represents the repeating decimal which is ( 0.353535... ). This value is greater than ( 0.35 ) but less than ( 0.36 ).

Now, align all numbers in decimal form:

• ( 9/25 = 0.36 )

• ( 0.35 )

• ( 2/5 = 0.4 )

• ( 0.35¯ ) approximately equals ( 0.353535... )

Next, list the numbers in decimal form:

• ( 0.35 )

• ( 0.353