ORDERING FRACTIONS AND DECIMALS WORKSHEET

In the following exercises, order each pair of numbers, using < or >.

(1)  1/4 __ 0.4

(2)  1/8 __ 0.8

(3)  2/5 __ 0.25

(4)  3/5 __ 0.35

(5)  0.725 __ 3/4

(6)  0.92 __ 7/8

(7)  0.66 __ 2/3

(8)  0.83 __ 5/6

(9)  -0.75 __ -4/5

(10)  -0.44 __ -9/20

(11)  -3/4 __ - 0.925

(12)  -2/3 __ - 0.632

Solution

Answers

1) 1/4 is lesser

2) 1/8 is less

3) 2/5 is greater 

4) 3/5 is greater 

5) 0.725 is less 

6) 0.92 is greater 

7) 0.66 is less

8) 0.83 is less

9) -0.75 is greater

10) - 0.44 is greater

11) - 3/4 is greater

12) - 2/3 is less

In the following exercises, write each set of numbers in order from least to greatest.

1) 3/5, 9/16, 0.55

2) 3/8, 7/20, 0.36

3) 0.702, 13/20, 5/8

4) 0.15, 3/16, 1/5

5) -0.3, -1/3, -7/20

6) -0.2, -3/20, -1/6

7) -3/4, -7/9, -0.7

8) -8/9, -4/5, -0.9

Solution

Problem 9 :

Write these numbers in order of size. Start with the smallest number.

60%, 1/2, 0.3, 3.4, 0.4

Solution

Problem 10 :

The heights of seven footballers are listed below.

1.9 m, 1.82 m, 1.78 m, 1.8 m, 1.88 m, 1.86 m, 1.7 m

(a) Arrange the heights in order from smallest to largest.

(b) Write down the median height.

(c) A player is picked at random. Write down the probability that he is over 1.85 m.

Solution

Problem 11 :

Astronaut A is making some food. He needs to add 1 litres of water to the powder. Astronaut B is preparing a different meal. She needs to add 1.2 litres of water. How many more millilitres of water does astronaut A’s food need compared with astronaut B’s?

Solution

Answers

1) 0.55 < 9/16 < 3/5

2) 0.35 < 0.36 < 0.375

3) 5/8 < 13/20 < 0.702

4) 0.15 < 3/16 < 1/5

6) -0.2 < -1/6 < -3/20

7) -7/9 < -3/4 < -0.7

8) -0.9 < -8/9 < -4/5

7) 5) -7/20 < -1/3 < -0.3

8) -0.9 < -8/9 < -4/5

9)  0.3, 0.4, 1/2, 60%, 3.4

10)  

1.7, 1.78, 1.8, 1.82, 1.86, 1.88, 1.9

(b) Median height = 1.82

(c) Required probability = 3/7

11)  0.2 liters.

Problem 1 :

Place the following numbers in order from least to greatest :

-8.2, 0.4, -2 1/2, 2.4

Solution

Problem 2 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 1.2  ___8/4  (ii) 6.05  ____6.05

Solution

Problem 3 :

Place the following numbers in order from greatest to least :

0.5, -5 1/9, -7.1, 0.9

Solution

Problem 4 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 8.5 _____ 10/5  (ii) 10.2  _____10

Solution

Problem 5 :

Place the following numbers in order from least to greatest :

-2.4, -3 3/9, 9.5, 0.2

Solution

Problem 6 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i) 1.4___-14/7  (ii) 6.8 _____ 8.6

Solution

Problem 7 :

Place the following numbers in order from greatest to least :

7.4, -4 5/10, 0.2, -7.4

Solution

Problem 8 :

Place the following numbers in order from least to greatest :

-34/4, 4, 0.7, -9.3

Solution

Problem 9 :

Place the following numbers in order from greatest to least :

0.3, 3.3, -3.3, -3

Solution

Problem 10 :

Place a >, <, or = symbol on each line to compare the rational numbers below.

(i)  8.5 ____-8.5   (ii) 0.2 ___0.5

Solution

Problem 11 :

Which of these numbers is the smallest?

a) 0.5       b)  0.0501      c)  0.051      d)  0.499       e) 0.49

Solution

Problem 12 :

Which of these fractions is equal to 0.8?

a) 1/8     b) 4/5      c)  0.8/10    d)  8/100     e)  5/4

Solution

Problem 13 :

A bag of rice contains 360 g. A special offer packet contains an extra 15%. Work out how much extra rice is in the special offer packet.

A bag of sugar contains 250 g. A special offer packet contains an extra 50% Work out how much extra sugar is in the special offer packet.

Which packet consist of more quantity ?

Solution

Problem 14 :

Mark all numbers that are bigger than 0.45

0.5, 0.6, 0.4, 0.08, 0.404

Solution

Problem 15 :

Which is larger?

a) 78%     b) 3/4     c) 0.74     d) 5/6

Solution

Problem 16 :

Which is larger?

a) 35%     b) 18/50     c) 0.375      d) 22/60

Solution

Answer Key

1)  -8.2 < -2 1/2 < 0.4 < 2.4

2)  i)  1.2 < 2    ii) 6.05 = 6.05

3)  0.9 > 0.5 > -5 1/9 > -7.1

4)  i) 8.5 > 2   ii)  10.2 > 10

5)  -3 3/9 < -2.4 < 0.2 < 9.5

6)  i)  1.4 > -2    ii)  6.8 < 8.6

7)  7.4 > 0.2 > -4.5 > -7.4

8)  -9.3 < -34/4 < 0.7 < 4

9)  3.3 > 0.3 > -3 >-3.3

10)  i)  8.5 > -8.5     ii)  0.2 < 0.5

11)  0.0501

12)   4/5

13)  Comparing these two, quantity of rice is greater.

14)  0.500 and 0.600 are greater than 0.45

15)  5/6 is the greater.

16)  0.375 is greater.

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