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Dozen — Definition, Formula & Examples

A dozen is a word that means exactly 12 of something. It is commonly used when counting items like eggs, donuts, or muffins.

The term "dozen" denotes a fixed quantity equal to 12 units and serves as a standard grouping size in counting, commerce, and everyday measurement.

Key Formula

Total items=n×12\text{Total items} = n \times 12
Where:
  • nn = Number of dozens

How It Works

Whenever you see the word "dozen," you can replace it with the number 12. Two dozen means 2×12=242 \times 12 = 24. Half a dozen means 12÷2=612 \div 2 = 6. You can multiply or divide with 12 just like any other number to figure out how many items are in multiple dozens or parts of a dozen.

Worked Example

Problem: A bakery sells 3 dozen cookies and half a dozen brownies. How many baked goods is that in total?
Step 1: Convert 3 dozen cookies to a number.
3×12=36 cookies3 \times 12 = 36 \text{ cookies}
Step 2: Convert half a dozen brownies to a number.
12×12=6 brownies\frac{1}{2} \times 12 = 6 \text{ brownies}
Step 3: Add the two amounts together.
36+6=4236 + 6 = 42
Answer: The bakery sells 42 baked goods in total.

Why It Matters

Eggs, donuts, and many other products are sold by the dozen, so understanding this term helps you calculate costs and quantities while shopping. It also builds comfort with multiplying and dividing by 12, a skill used in time (12 months, 12 hours) and measurement.

Common Mistakes

Mistake: Confusing a dozen (12) with a baker's dozen (13).
Correction: A standard dozen is always 12. A baker's dozen is a separate term that equals 13, originally meant to ensure customers received at least 12 good items.