# COMPARING AND ORDERING RATIONAL AND IRRATIONAL NUMBERS WORKSHEET

Order the following numbers from least to greatest :

Problem 1 :

135%, 13.5, 8 3/5

Solution

Problem 2 :

1/6, 16.7%, 0.16

Solution

Order the following numbers from greatest to least :

Problem 3 :

0.42, 4.2%, 2/5

Solution

Problem 4 :

3 1/3, 3.34, 300%

Solution

Put the following in ascending order :

Problem 5 :

45%, 1/2, 0.6, 1

Solution

Problem 6 :

4, 0.8, 50%, 0

Solution

Put the following numbers in descending order :

Problem 7 :

45%, 1/2, 0.045

Solution

Problem 8 :

125%, 1 1/2, 1.26

Solution

Problem 9 :

Which is least number of the following.

0.4, √0.09 and 1/2

Solution

Problem 10 :

Which of the following is greater ? or they are same.

a)  √(100 - 64)          b)  √100 - √64

Solution

Problem 11 :

Graph the numbers on the number line.

2.55, 9/5, √24, π, √9

Solution

Problem 12 :

Write it in order from greatest to least.

10/4, √10, 4.75√16

Solution

Problem 13 :

Use <, > or = compare.

-√104  ____ -10

Solution

Problem 14 :

Several shops are having sales price are reduced by 62.5%, 2/3, 75%, 1/2 and 7/10. Which list shows the price reductions from greatest to least ?

a)  75%, 62.5%, 1/2, 2/3, 7/10

b)  75%, 7/10, 2/3, 62.5%, 1/2

c)  75%, 7/10, 62.5%, 1/2, 2/3

d)  75%, 7/10, 62.5%, 2/3, 1/2

Solution

Problem 15 :

Which is greater ?

a) 0.25    b) 1/4       c) 0.233......

Solution

## Answer Key

1)  135% < 8  3/5 < 13.5

2)  0.16 < 1/6 < 16.7%.

3)  0.42 > 2/5 > 4.2%.

4)  3.34 > 3 1/3 > 300%.

5)  45% < 1/2 < 0.6 < 1.

6)  0 < 50% < 0.8 < 4.

7)  1/2 > 45% > 0.045.

8)  1 1/2 > 1.26 > 125%.

9)  √0.09 is least.

10)  a is greater.

11)

12)  4.75, √16, √10, 10/4

13)  -√104  < -10

14)  75%, 7/10, 2/3, 62.5%, 1/2

15)  2.33 is greater. option c is correct

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