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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

User Chondrops
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1 Answer

2 votes

Answer:

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.

User Taytay
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8.3k points

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