COMPARING AND ORDERING IRRATIONAL NUMBERS WORKSHEET

List the following numbers in order from least to greatest.

Problem 1 :

39/8, 4.2, √16

Problem 2 :

√24, √33, 5.1

Problem 3 :

√100, √110, 32/7

Problem 4 :

9.4, 19/2, √80

Problem 5 :

√35, √32, √37, 22/3

Problem 6 :

3.5, √10, 13/3,√15

Problem 7 :

√65, √60, 8.5, 37/4

Problem 8 :

√39, √25, 5.3, √26, 23/4

Problem 9 :

√12, √15, 4.3, √9, 14/5

Problem 10 :

√49, √63, 7.3, √38, 15/2

Answer Key

1) √16 < 4.2 < 39/8 .

2) √24 < 5.1 <√33.

3) 32/7 < √100 < √110.

4) √80 < 9.4 < 19/2.

5) √32 <√35 <√37< 22/3.

6) √10 < 3.5 <√15 <13/3.

7) √60 < √65 < 8.5 < 37/4.

8) √25 < √26 < 5.3 < 23/4 < √39.

9) 14/5 < √9 < √12 < √15 < 4.3.

10) √38 < √49 < 7.3, 15/2 < √63.