#### How many is a dozen?, How many is 1 dozen? How much is 1 deck? how many dozen?, how many in a deck? Detailed explanations of your questions are in our article!

The terms deck and layout are mathematical expressions that we encounter constantly both in daily life and in the education system. These decks and dozens, used for the number of physical products in a group, reveal that 10 and 12 products are mentioned, respectively. In order to be more explanatory, in the continuation of our article; We will touch on topics such as “how many a deck and a dozen are, examples of the deck and dozen, the differences of the deck and the dozen, and the advantages of using them”.

### How Are Numbers Expressed in Deck and Dozen?

One (1) deck consists of 10 units of the same type. In order for the deck to be formed, the assets must be of the same type. Two sets of items of different types, totaling 10, cannot form 1 deck. This situation can be explained with the following example:

• For example, even if the sum of 7 notebooks and 3 books is 10, since there are two different items in this group, he would not have completed a deck yet. If a total of 7 notebooks and 3 notebooks were mentioned in the group, the total unit of two items of the same kind would be 10 and a deck could be mentioned.
• Similarly, if the sum of two different numbers, 7 erasers and 5 erasers, were mentioned in a bag, then it could be said that the sum of all the erasers in a group makes 1 order.

### How Many Is One (1) Deck?

For a product group with a total number of 10, 1 (one) deck expression can be used. A product group of 100 pieces includes 10 packs. In other words, it is clearly understood that 100 products are mentioned for 10 packs from the multiplication of 10×10=100. The word “deck” consists of 5 letters. 2 times is 10. If there is confusion about how many decks there are, this mathematical operation can be done as a hint.

Question-1 : If 2 computers are sold in a day in a technology store with 10 packs of computers, how many computers will remain after a week?

Answer-1 : 10 decks of computers means that from the transaction 10×10=100, there are 100 computers in the store at the beginning. Since 2 computers are sold in a day in the market and a week is 7 days; From 7×2=14, it is understood that 14 computers were sold one week later.  As a result, one week after 100-14=86, there were 86 computers left in the technology store .

Question-2 : There are 30 chickens in a farm. 1 deck of these chickens has laid eggs. How many packs of chickens have not laid eggs?

Answer-2 : Since 1 deck is 10 pieces, 30 chickens represent 3 decks (from 30/10=3 operations). Since 1 pack of 3 packs of chickens lays eggs, 3-1=2 operation indicates that 2 packs of chickens in the farm did not lay eggs.

### How Many Is One (1) Dozen?

One (1) dozen is 12. If the total of the items in the group is 12, then 1 dozen items are mentioned. The word “dozen” consists of 6 letters. 2 times is 12. If there is confusion about the number of dozen, this mathematical operation can be brought to mind as a clue.

### Dozen Sample Questions and Answers

Question-1: The total number of households in a village is 5 less than 5 dozen. In this case, how many houses are there in the village?

Answer-1: 5 dozen houses means 5×12=60 and 60-5=55, it is understood that there are 55 houses in the village.

Question-2: Ali gave 4 dozen of his 9 dozen marbles to his friend Hasan and 2 dozen to Ayşe. He gave one third of the remaining marbles to his brother Ekrem. How many decks of marbles does Ali have left in this case?

Answer-2: Ali has the number of marbles from 9×12=108 at the beginning. He gave 4 dozen to Hasan and 2 dozen to Ayşe. In other words, he gave a total of 6×12=72 marbles to Ayşe and Hasan. He left 108-72=36 marbles and gave one third to his brother Ekrem. In this case, he gave 36/3=12 marbles to Ekrem. Ali’s remaining number of marbles is obtained from 36-12=24 operation. 24 marbles means 24/12=2 dozen. So Ali has 2 marbles left.

When the second question is examined, it is clear that only over a dozen information is given. For a shorter calculation method, the answer can be reached without calculating the dozen-pieces. While Ali had 9 dozen marbles, he gave 4 dozen to Hasan and 2 dozen to Ayşe. It is understood from 4+2=6 that Ali gave 6 dozen to Ayşe and Hasan before his brother. Since he had 9-6=3 dozen marbles left, and a third of them made 3/3=1, he gave 1 dozen out of 3 dozen to his brother. He has 3-1=2 dozen marbles left.

### What are the Differences Between Deck and Dozen?

The difference between the deck and the dozen is that the numbers they indicate are different. 1 pack denotes 10, while 1 dozen denotes 12.  The difference between the dozen and the deck is mathematically 2 out of 12-10.

### The Benefits of Using a Deck and Dozen

Products that are packaged and sold as bundles make trade easier. 10 pencils make up a deck, and 12 erasers make up a dozen. The assets grouped in both concepts are required to be of the same type.

Among the examples of products sold in bundles, the first ones that come to mind are; socks, pens, forks, knives, plates, balls of yarn, book sets, packaged foods, various stationery products and hangers. The concept of bundle and dozen, which is widely used in the packaging industry, makes it easier to transport and sell individual products. Examples are given to make the concept of deck and dozen a part of daily life, especially in mathematics problems prepared at primary school level.