Determining the Correct Dictionary Order

The goal is to arrange the given set of words in the sequence they would appear in a standard English dictionary. This process, often called dictionary ordering or alphabetical sorting, involves comparing words letter by letter from the beginning.

The List of Words for Ordering:

• 1. Significant
• 2. Sinful
• 3. Signed
• 4. Singing
• 5. Simplify

Step-by-Step Comparison for Dictionary Sequence:

To find the correct dictionary order, we compare the words systematically:

1. Initial Letters: All the words begin with the letter 'S'.
2. Second Letter: All words have 'i' as the second letter. So, we need to look further.
3. Third Letter Comparison: Let's examine the third letter of each word:
   • Significant: 'g'
   • Sinful: 'n'
   • Signed: 'g'
   • Singing: 'n'
   • Simplify: 'm'
   Based on alphabetical order ('g' comes before 'm', which comes before 'n'), the words starting with 'Sig' will come first, followed by 'Sim', and then 'Sin'.
4. Comparing Words Starting with 'Sig': We have Significant (1) and Signed (3).
   • Both share the first four letters: 'Sign'.
   • We compare the fifth letter: 'i' in Significant vs. 'e' in Signed.
   • Since 'e' precedes 'i' in the alphabet, Signed (3) comes before Significant (1).
   So, the partial order is 3, 1.
5. Placing the Word Starting with 'Sim': The word Simplify (5) has 'm' as the third letter. As established, 'm' comes after 'g' (from 'Sig') and before 'n' (from 'Sin').
   • Therefore, Simplify (5) comes after Signed (3) and Significant (1).
   The order now is 3, 1, 5.
6. Comparing Words Starting with 'Sin': We have Sinful (2) and Singing (4).
   • Both share the first three letters: 'Sin'.
   • We compare the fourth letter: 'f' in Sinful vs. 'g' in Singing.
   • Since 'f' precedes 'g' in the alphabet, Sinful (2) comes before Singing (4).
   Adding these to our sequence, the order becomes 3, 1, 5, 2, 4.

Final Correct Dictionary Order:

Following the comparisons step-by-step, the final alphabetical order of the words is:

1. Signed (3)
2. Significant (1)
3. Simplify (5)
4. Sinful (2)
5. Singing (4)

This corresponds to the numerical sequence 3, 1, 5, 2, 4.