Understanding Dictionary Order

Arranging words in the order they appear in an English dictionary is also known as arranging them in alphabetical or lexicographical order. This process involves comparing the words letter by letter from left to right.

Let's take the given words and arrange them based on this principle:

1. Success
2. Surreal
3. Succumb
4. Suction
5. Surrogate
6. Surprise

We will compare the words letter by letter:

• All words start with 'S'.
• All words start with 'Su'.
• The third letter is either 'c' (for Success, Succumb, Suction) or 'r' (for Surreal, Surrogate, Surprise). Since 'c' comes before 'r' in the alphabet, the words starting with 'Suc' will come before the words starting with 'Sur'.

Ordering 'Suc' words (1, 3, 4): Success, Succumb, Suction

Let's compare these three words:

• Success (S U C C E S S)
• Succumb (S U C C U M B)
• Suction (S U C T I O N)

Comparing the fourth letter:

• Success and Succumb have 'c' as the fourth letter.
• Suction has 't' as the fourth letter.

Since 'c' comes before 't', Success and Succumb will come before Suction.

Now let's compare Success and Succumb (both start with S U C C):

• Success (S U C C E S S)
• Succumb (S U C C U M B)

Comparing the fifth letter:

• Success has 'e'.
• Succumb has 'u'.

Since 'e' comes before 'u', Success comes before Succumb.

So, the order for the 'Suc' words is: Success (1), Succumb (3), Suction (4).

Ordering 'Sur' words (2, 5, 6): Surreal, Surrogate, Surprise

Let's compare these three words:

• Surreal (S U R R E A L)
• Surrogate (S U R R O G A T E)
• Surprise (S U R P R I S E)

Comparing the fourth letter:

• Surreal and Surrogate have 'r' as the fourth letter.
• Surprise has 'p' as the fourth letter.

Since 'p' comes before 'r', Surprise will come before Surreal and Surrogate.

Now let's compare Surreal and Surrogate (both start with S U R R):

• Surreal (S U R R E A L)
• Surrogate (S U R R O G A T E)

Comparing the fifth letter:

• Surreal has 'e'.
• Surrogate has 'o'.

Since 'e' comes before 'o', Surreal comes before Surrogate.

So, the order for the 'Sur' words is: Surprise (6), Surreal (2), Surrogate (5).

Combining the Lists

Now we combine the ordered 'Suc' words and the ordered 'Sur' words. The 'Suc' words come first as 'c' < 'r'.

Combined list in dictionary order:

1. Success (from 'Suc' group)
2. Succumb (from 'Suc' group)
3. Suction (from 'Suc' group)
4. Surprise (from 'Sur' group)
5. Surreal (from 'Sur' group)
6. Surrogate (from 'Sur' group)

The corresponding numbers for this arrangement are: 1, 3, 4, 6, 2, 5.

Comparing letter by letter confirms the order: Success (1), Succumb (3), Suction (4), Surprise (6), Surreal (2), Surrogate (5).

The correct numerical sequence is 1, 3, 4, 6, 2, 5.

Revision Table: Dictionary Order Practice

Additional Information: Lexicographical Ordering Concepts

Lexicographical order is the method used to order words in dictionaries, phone books, and similar lists. It's based on the alphabetical order of the characters. When comparing two words, you look at the first character where they differ. The word with the character that comes earlier in the alphabet is placed first.

• If one word is a prefix of another (e.g., "apple" and "apply"), the shorter word comes first ("apple" before "apply"). In our case, none of the words are prefixes of others.
• The process continues until all words are placed in their correct sequence.
• Understanding this concept is fundamental for various sorting algorithms in computer science as well.