Question

NEEED HELP ASSSSAAAAPPPPP PLEASE

Order the set of numbers from least to greatest: 2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2

2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2.
square root 5, 5 over 2, 2.71 repeating 71, 2 3 over 4
5 over 2, square root 5, 2.71 repeating 71, 2 3 over 4
2 3 over 4, 2.71 repeating 71, 5 over 2, square root 5

Answer 1

Option 2 - square root 5, 5 over 2, 2.71 repeating 71, 2 and 3 over 4.

Explanation:

Given : Numbers 2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2

To find : Order the set of numbers from least to greatest ?

Solution :

First we write numbers in one form i.e. in decimals,

2.71 repeating 71 =
`2.7171....`

2 and 3 over 4 =
`2(3)/(4)=(11)/(4)=2.75`

square root 5 =
`√(5)=2.2360....`

5 over 2 =
`(5)/(2)=2.5`

Arranging from least to greatest,

`2.2360.. < 2.5 < 2.7171.. < 2.75`

or
`√(5)< (5)/(2) < 2.7171.. < 2(3)/(4)`

or square root 5, 5 over 2, 2.71 repeating 71, 2 and 3 over 4.

Therefore, Option 2 is correct.