Question

Help me with this question…..

Answer 1

In order from least to greatest, the numbers would be organized as such:
`(2)/(3)` ,
`√(5)` ,
`(5)/(2)` ,
`\pi`. So C is the correct answer.

Explanation:

At first glance, these numbers are not the simple whole and decimal numbers one might be used to. However, we can find their approximate values and order them correspondingly.
`(2)/(3)` is a fraction that is less than one, so on a number line it would be between 0 and 1, making it the smallest number out of the four.
`√(5)` and
`(5)/(2)` are both between 2 and 3, but
`√(5)` is approximately equal to 2.24, while
`(5)/(2)` is equal to 2.5. Therefore, we can conclude that
`(5)/(2)` is greater than
`√(5)`. Lastly,
`\pi` is a constant number that is the ratio of a circle's circumference to its diameter that equals approximately 3.14, so we can conclude that
`\pi` is the greatest number out of the four.

Now that we have the four numbers in an easier and visually more clear way to find their exact values, we know that the order of these numbers from least to greatest would be choice C:
`(2)/(3)` ,
`√(5)` ,
`(5)/(2)` ,
`\pi` .

Have a great day! Feel free to let me know if you have any more questions :)