Understanding Dictionary Order

Arranging words in dictionary order, also known as alphabetical order, requires comparing words letter by letter from left to right. If the letters match, you move to the next letter. If one word runs out of letters while being a prefix of another word, the shorter word comes first. If letters differ, the word with the letter that appears earlier in the alphabet comes first.

Analyzing the Given Words

We are given five words to arrange in the correct English dictionary order:

1. Glob
2. Globule
3. Global
4. Globe
5. Gloom

Step-by-Step Dictionary Arrangement

Let's compare the words letter by letter:

• All words start with G.
• The second letter is l for all words.
• The third letter is o for all words.
• The fourth letter is where we first see a difference:
  • Glob: b
  • Globule: b
  • Global: b
  • Globe: b
  • Gloom: m
• Since 'b' comes before 'm' in the alphabet, "Gloom" (5) will come after all the words starting with "Glob".

Now let's order the words starting with "Glob": Glob (1), Globule (2), Global (3), Globe (4).

• Compare these four words starting from the fifth letter.
  • Glob (1): (ends)
  • Globule (2): u
  • Global (3): a
  • Globe (4): e
• When a word is a prefix of others, it comes first. "Glob" (1) is a prefix for "Globule", "Global", and "Globe". Therefore, "Glob" (1) comes first among these four.
• Now compare the remaining words: "Global" (3), "Globule" (2), and "Globe" (4). Look at their fifth letters: 'a', 'u', and 'e'.
• Arranging 'a', 'u', and 'e' alphabetically: 'a', 'e', 'u'.
• This gives us the order: "Global" (3), followed by "Globe" (4), followed by "Globule" (2).

Combining the orders:

1. Glob (1)
2. Global (3)
3. Globe (4)
4. Globule (2)
5. Gloom (5)

The correct order of the numbers corresponding to the words is 1, 3, 4, 2, 5.

Summary of Dictionary Order

Let's list the words again with their correct dictionary position:

The sequence of original numbers is 1, 3, 4, 2, 5.

Revision Table: Key Concepts in Alphabetical Ordering

Additional Information on Lexicographical Order

Dictionary order is a specific application of what is formally known as lexicographical order. This type of ordering isn't just used for words but can be applied to sequences of any type of elements, like numbers, symbols, or characters. When ordering words, the standard English alphabet provides the sequence for comparison.

Key points about dictionary order:

• Comparison stops as soon as a difference is found.
• Case sensitivity might matter in some contexts, but typically for standard dictionary order of common words, capitalization is ignored after the first letter if the word is a proper noun or at the beginning of a sentence. In this case, all words start with 'G', and we treat them as if they were lowercase for ordering.
• Spaces and punctuation also have an order value, usually before letters in computer sorting, but are not relevant in this specific question with only simple words.