Question

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

Answer 1

Change them all into decimals first.

Square root of 5 (2.236)
5/2 (2.5)
2.7111111
2 3/4 (2.75)

Answer 2

Square root of 5 < 5 over 2 < 2.71 repeating 71 < 2 and 3 over 4

Explanation:

Numbers are the mathematical objects which are used to count and measure.

Given Numbers : 2.717171...

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

Square root of 5 = 2.24

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

We need to order the set of numbers from least to greatest .

Among numbers 2.717171... and 2.75 , digits at ones and tenths place are same , so will compare digits at hundredth place . 1 < 5

So, 2.717171... < 2.75 .Also, digit at tenths place of 2.24 is less than digit at tenth place of 2.5, so , 2.24 < 2.5

Here,
`2.24< 2.5< 2.717171...< 2.75`

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