Understanding Dictionary Order

Arranging words in the correct dictionary order is a skill that involves comparing words letter by letter from left to right. This process is also known as alphabetical sorting or lexicographical order.

Let's take the given words and arrange them as they would appear in an English dictionary:

1. Decline
2. Decouple
3. Decrease
4. Decorate
5. Decorum
6. Decode

Step-by-Step Alphabetical Arrangement

We compare the words based on their letters, starting from the first letter.

All the given words begin with the letters "Dec". So, we move to the fourth letter for each word:

• Decline
• Decouple
• Decrease
• Decorate
• Decorum
• Decode

Comparing the fourth letters (l, o, r), the letter 'l' comes first in the alphabet. Therefore, "Decline" (1) is the first word in the dictionary order.

Now, let's look at the remaining words (2, 3, 4, 5, 6). Their fourth letters are 'o', 'r', 'o', 'o', 'o'. The letter 'o' comes before 'r'. This means "Decrease" (3), which has 'r' as the fourth letter, will come after all the words that have 'o' as the fourth letter (words 2, 4, 5, 6).

Let's arrange the words starting with "Deco" (2, 4, 5, 6):

• Decouple
• Decorate
• Decorum
• Decode

Comparing the fifth letters (u, r, r, d), the letter 'd' comes first alphabetically. So, "Decode" (6) is the first word among the "Deco" group.

Remaining "Deco" words are 2, 4, and 5. Their fifth letters are 'u', 'r', 'r'. The letter 'r' comes before 'u'. So, words starting with "Decor" (4 and 5) will come before "Decouple" (2).

Let's arrange "Decorate" (4) and "Decorum" (5) by comparing their sixth letters:

• Decorate
• Decorum

Comparing the sixth letters (a, u), the letter 'a' comes first. So, "Decorate" (4) comes before "Decorum" (5).

The order for words starting with "Decor" is 4, then 5.

Now, the order of the "Deco" words is: 6 ("Decode"), followed by 4 ("Decorate"), then 5 ("Decorum"), and finally 2 ("Decouple").

Putting it all together, the complete dictionary order is:

1. Decline (1) - because 'l' comes first
2. Decode (6) - first among "Deco" words ('d')
3. Decorate (4) - first among "Decor" words ('a')
4. Decorum (5) - second among "Decor" words ('u')
5. Decouple (2) - last among "Deco" words ('u')
6. Decrease (3) - because 'r' comes after 'o'

The correct order of the original numbers is 1, 6, 4, 5, 2, 3.

Summary of Dictionary Order

Revision Table: Key Dictionary Ordering Rules

Additional Information: Lexicographical Sorting

The method used to order words in a dictionary is formally known as lexicographical ordering. This is a standard way of ordering sequences (like words, or even numbers written out) based on the alphabetical order of their components.

Understanding lexicographical order is crucial not just for using dictionaries but also in computer science for sorting strings and data. It ensures a consistent and logical sequence, making information retrieval efficient.

Practicing word arrangement helps build logical reasoning and attention to detail, essential skills for various tests and everyday tasks.