# Lesson 6- Ordering Decimals

Objective:

At the end of this lesson, students should be able to arrange decimals in increasing or decreasing order of size.

To order decimals means to arrange decimal numbers in an organized manner. This implies arranging decimals in ascending or descending order.

From the previous knowledge applied in comparing decimals, we can identify the largest and smallest decimals as well as the decimals that lie between any two decimals.

Example 1

Order these decimals from smallest to largest.

a) 8.248, 34.635, 2.316, 19.999

b) 3.003, 30.030, 33.000, 0.3030

Solution

a) 2.316, 8.248, 19.999, 34.634

b) 0.3030, 3.003, 30.030, 33.000

Example 2

Arrange these decimals in descending order of size

a) 0.7, 0.007, 0.707, 7.707, 77.007

b) 5.236, 8.236, 1.236, 17.539, 15.8

Solution

a) 77.007, 7.707, 0.707, 0.7, 0.007

b) 17.539, 15.8, 8.236, 5.236, 1.236

Unit 10 Lesson 6: Exercise 1

Arrange each set of decimals in ascending order of size.

1) 7.921, 6.347, 23.528, 18.931

2) 8.274, 8.2, 8.27, 8.02

3) 87.62, 18.647, 34.84, 6.3597

4) 9.70, 9.07, 7.09, 7.009, 7.907

5) 0.5, 5.0, 5.05, 0.005, 5.005

Arrange each set of decimals in descending order.

6) 3.456, 8.759, 2.989, 6.742

7) 328.1, 32.81, 3281, 0.3281

8) 19.001, 19.01, 19.1, 1.901

9) 24.085, 24.2, 24.18, 24.109

10) 5.008, 5.808, 5.08, 5.8

Ascending order:
1) 6.347, 7.921, 18.931, 23.258
2) 8.02, 8.2, 8.27, 8.274
3) 6.3597, 18.647, 34.84, 87.62
4) 7.009, 7.09, 7.907, 9.07, 9.70
5) 0.005, 0.5, 5.005, 5.0, 5.05

Descending order:
6) 8.759, 6.742, 3.465, 2.989
7) 3281, 328.1, 32.81, 0.3281
8) 19.1, 19.01, 19.001, 1.901
9) 24.2, 24.18, 24.109, 24.085
10) 5.808, 5.8, 5.08, 5.008

Unit 10 Lesson 6: Exercise 2

Order the numbers in each set in descending order of size.

Order the following numbers in each set in ascending order of size.

Descending order:
1) 6.4, 6.004, 4.6, 4.06, 4.006
2) 8.1, 4.92, 2.05, 1.8, 0.579
3) 6333, 633.3, 63.333, 63.33, 6.333
4) 81.18, 8.28, 8.25, 8.18, 8.11
5) 3.2, 3.02, 3.002, 2.03, 0.32

Ascending order:
6) 8.025, 8.2, 8.25, 8.5, 8.52
7) 7.031, 7.032, 7.31, 7.32, 17.3
8) 5.027, 5.27, 5.274, 5.278, 5.28
9) 4.089, 4.89, 4.98, 48.9, 49.8
10) 0.8762, 8.762, 87.62, 876.2, 8762

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