In this post, we are going come talk around what a dozen is and its relation to other principles that I’m certain you have heard in math course before.

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What is a dozen?

A dozen is twelve devices of other in a repertoire together. so we have the right to have dozens that things, for example, twelve eggs are a dozen eggs. Twelve cats are a dozen cats and twelve math troubles are a dozen math problems.

A dozen dozens

I’m sure that you have actually heard the words tens and hundreds in math class before. Execute you remember what lock are? You can refresh her memory by checking out this post about units, tens, and hundreds.

Essentially, a ten is comprised of ten units; a hundred is consisted of of ten tens, and also so on. Thus, the ten and also the hundred appear when including a zero come the unit and also are very useful for characterizing three-digit number easily. Because that example, the number 360 is created of 3 hundreds and 6 tens.

As through the hundreds, which space ten tens, us can likewise consider what a dozen dozens are. After a simple calculation, we uncover that 12 x 12 = 144 and, consequently, a dozen dozens is created of 144 units. A dozen dozens is recognized as a “gross.”

Any huge number have the right to be to express by making use of a dozen together a reference. For example, 360 = 2 x 144 + 6 x 12. This 360 is same to 2 grosses and also 6 dozens. The way of numbering is known as the duodecimal, or dozenal, system.

Although it may be strange and also obscure, the dozenal system has actually been widely offered in miscellaneous cultures. And also we still find traces that its use today, prefer with the months of the year. It is thought that its use was herbal for people because, utilizing one hand, you have the right to count to 12 by making use of your ignorance to counting each of the 3 phalanges that the remaining four fingers. That way, if you usage both hand you can count to 24 while simply using entirety fingers you deserve to only counting to 10.


Dozens and the Sexagesimal System

Previously we stated that we deserve to count to 12 on one hand, but what perform we execute with the other hand? If we use the various other hand to count dozens since we have actually 5 fingers, we could count 5 dozens i m sorry is 60. The is thought that the Babylonians made decision the sexagesimal mechanism to counting sixty in sixty, i m sorry is the system that we have inherited to measure angles in geometry and the minutes and seconds with time – in enhancement to making use of it for the 12 hours on a clock.

Is the decimal mechanism or dozen mechanism better?

Imagine that we room making a cooking recipes in the kitchen the calls for four eggs. We go come the store to buy eggs and also we uncover that they only come in ten 10s or a dozen dozens. What works far better for us?

We think we must buy the ones that come in ten tens, in various other words, a ten that eggs. We make the recipe and also see the we have six egg left but it turns out that we prefer the recipe, so us make the again and also now have two egg leftover and also don’t know what to do with them.

It is true that it would not be a severe problem since we can always make 2 fried eggs for dinner. However, if we run a warehouse and need to decide just how to pack tons the eggs, it i do not care a bit much more serious.

The number 10 has four divisors: 1, 2, 5 and 10. Vice versa, 12, can be divided by 1, 2, 3, 4, 6, and also 12. Therefore, a dozen is much more convenient as soon as making deliveries and also storing objects.


Let’s finish with a funny fact!

Although we recognize that a dozen is consisted of of 12 units, there is a rare exemption where the is not. In the medieval Anglo-Saxon world, bakers the deceived your clients to be severely punished. To remove this they chose to include an extra unit through the dozens of loaves they marketed so that they would prevent falling short and also no one could criticize lock for supposed bad faith in your trade.

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Therefore, a set made increase of 13 systems is occasionally referred to as a baker’s dozen. perform you dare try to number out what a baker’s dozen of baker’s dozens would look like?

I hope the you have delighted in this post and also have learned something interesting. If friend would choose to continue learning elementary school mathematics, adapted to her level, join the community, what space you waiting for?!