Understanding Dictionary Order

To arrange words in the correct English dictionary order, we compare them letter by letter from left to right. If the letters are the same, we move to the next letter until we find a difference. The word with the letter that comes earlier in the alphabet will appear first.

Words to Arrange

Here are the words we need to arrange, along with their corresponding numbers:

Step-by-Step Comparison for Dictionary Sequence

Let's compare the words letter by letter:

• All words begin with 'F'.
• All words have 'a' as the second letter.
• Now, let's look at the third letter of each word:
  • Fasting (1): s
  • Fascinating (2): s
  • Fashionable (3): s
  • Faux (4): u
  • Fault (5): u
  • Farther (6): r
  • Father (7): t

Comparing the third letters (s, u, r, t) alphabetically, 'r' comes first, then 's', then 't', and finally 'u'.

Grouping and Ordering by Third Letter:

• Group 1 (Third letter 'r'): Farther (6). There is only one word in this group, so it comes first among all the words.
• Group 2 (Third letter 's'): Fasting (1), Fascinating (2), Fashionable (3). We need to compare these further.
  • Comparing the fourth letter: Fasting (1) has 't', Fascinating (2) has 'c', Fashionable (3) has 'h'.
  • Comparing 't', 'c', 'h' alphabetically: 'c' comes first, then 'h', then 't'.
  • So, within this group, the order is: Fascinating (2), Fashionable (3), Fasting (1).
• Group 3 (Third letter 't'): Father (7). There is only one word in this group.
• Group 4 (Third letter 'u'): Faux (4), Fault (5). We need to compare these further.
  • Comparing the fourth letter: Faux (4) has 'x', Fault (5) has 'l'.
  • Comparing 'x' and 'l' alphabetically: 'l' comes first, then 'x'.
  • So, within this group, the order is: Fault (5), Faux (4).

Final Dictionary Order

Combining the groups in the order of their third letters ('r', 's', 't', 'u'), we get the final sequence:

1. From Group 1 ('r'): Farther (6)
2. From Group 2 ('s'): Fascinating (2), Fashionable (3), Fasting (1)
3. From Group 3 ('t'): Father (7)
4. From Group 4 ('u'): Fault (5), Faux (4)

The complete order of the words is: Farther, Fascinating, Fashionable, Fasting, Father, Fault, Faux.

The corresponding numbers in order are: 6, 2, 3, 1, 7, 5, 4.

Revision Table: Dictionary Order Steps

Additional Information on Alphabetical Sorting

Alphabetical sorting is a fundamental skill used not just in dictionaries but also in indexes, phone books, sorting data, and organizing files. The principle remains the same: compare character by character from the beginning until a difference is found.

• When comparing words of different lengths that are identical up to the end of the shorter word (e.g., "cat" and "catalog"), the shorter word comes first. Think of the end of a word as having an invisible space, and a space comes before any letter.
• Capitalization is usually ignored in standard dictionary order, treating 'A' and 'a' the same. However, in some specific sorting contexts (like computer sorting), capitalization might matter.
• Symbols and numbers have their own sorting rules, often appearing before or after letters depending on the sorting system.