Question

Oder the following from least (top) to greatest (bottom) 22/99, 7/9, 7/5, √20, 20%

Answer 1

To order the numbers 20%, 22/99, 7/9, √20, and 7/5 from least to greatest: convert percentages to fractions, decimals, or compare to the value of 1. The order is 20%, 22/99, 7/9, √20, and 7/5.

Step-by-step explanation:

The task is to order the given numbers from least to greatest. To compare these values, we should convert each to a common format, such as a decimal or a fraction, wherever possible.

1. 20% is equivalent to 0.20 or 20/100 which can be simplified to 1/5. As we know, anything less than 1 is smaller than any fraction that has a numerator greater than its denominator (which would be greater than 1).
2. 22/99 simplifies to 2/9 which is approximately 0.22, still less than 1.
3. 7/9 is about 0.78, less than 1 but greater than 22/99 and 20%.
4. √20 is approximately 4.47, placing it after 7/9 but before 7/5.
5. Finally, 7/5 which is 1.4, making it the greatest number in the list because it is the only value greater than 1.

The correct order from least to greatest is: 20%, 22/99, 7/9, √20, and 7/5.