Long Hundred (long-hundred) to Gross (gros) conversion

Long Hundred to Gross conversion table

Long Hundred (long-hundred)Gross (gros)
00
10.8333333333333
21.6666666666667
32.5
43.3333333333333
54.1666666666667
65
75.8333333333333
86.6666666666667
97.5
108.3333333333333
2016.666666666667
3025
4033.333333333333
5041.666666666667
6050
7058.333333333333
8066.666666666667
9075
10083.333333333333
1000833.33333333333

How to convert long hundred to gross?

Here's a guide on converting between Long Hundred and Gross, focusing on the core principles and avoiding repetition of information already available on individual unit definitions.

Understanding the Conversion Between Long Hundred and Gross

Converting between Long Hundred and Gross involves understanding their relationship within the historical counting systems. A Long Hundred (also known as a "great hundred" or "long count") is 120 items, while a Gross is 144 items (12 dozens).

Conversion Formula and Steps

Long Hundred to Gross

To convert Long Hundred to Gross, use the following relationship:

1 Long Hundred=120 items1 \text{ Long Hundred} = 120 \text{ items}

1 Gross=144 items1 \text{ Gross} = 144 \text{ items}

To find out how many Gross are in a Long Hundred, divide the number of items in a Long Hundred by the number of items in a Gross:

Gross=Long Hundred itemsItems in a Gross\text{Gross} = \frac{\text{Long Hundred items}}{\text{Items in a Gross}}

Gross=120144\text{Gross} = \frac{120}{144}

Gross=560.8333\text{Gross} = \frac{5}{6} \approx 0.8333

Therefore:

1 Long Hundred0.8333 Gross1 \text{ Long Hundred} \approx 0.8333 \text{ Gross}

Gross to Long Hundred

To convert Gross to Long Hundred, use the inverse relationship:

Long Hundred=Gross itemsItems in a Long Hundred\text{Long Hundred} = \frac{\text{Gross items}}{\text{Items in a Long Hundred}}

Long Hundred=144120\text{Long Hundred} = \frac{144}{120}

Long Hundred=65=1.2\text{Long Hundred} = \frac{6}{5} = 1.2

Therefore:

1 Gross=1.2 Long Hundred1 \text{ Gross} = 1.2 \text{ Long Hundred}

Historical Context and Interesting Facts

The Long Hundred and the Gross are remnants of historical counting systems used in commerce. The Long Hundred was used to give merchants a slight advantage by including an extra 20 items per "hundred," which could be beneficial in trade. The concept of a "baker's dozen" (13 instead of 12) is another example of such practices.

Real-World Examples

While the Long Hundred and Gross are not commonly used in modern retail, understanding their relationships is useful in historical contexts and certain specialized industries. Here are some analogous examples:

  1. Inventory Management: A company might purchase items in Gross (144 units) for better bulk pricing. If they historically used Long Hundreds for inventory tracking, they would need to convert between these quantities.
  2. Historical Reenactments: Merchants at historical reenactments might sell goods using traditional units like Long Hundreds, requiring conversions for modern transactions.
  3. Archival Research: Historians studying trade records might encounter these units and need to convert them for analysis.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Gross to other unit conversions.

What is long hundred?

The long hundred, also known as a great hundred or a twelve-score, is an obsolete unit of quantity equal to 120 items. It's a relic of a counting system where calculations were sometimes done in base-12 or base-20, rather than the standard base-10 system we use today.

Origin and Formation

The long hundred arises from the practice of counting in dozens (groups of 12). Unlike the "short hundred" (decimal hundred) that contains 100 items, the long hundred is based on a duodecimal system influence or simply a traditional way of counting specific goods. It is formed by multiplying twelve (a dozen) by ten, resulting in 120.

  • Dozen: 12 items
  • Long Hundred: 12 dozens, or 12 * 10 = 120 items

This contrasts with the decimal system, where a hundred is simply 10 * 10 = 100.

Historical Context and Usage

The long hundred was most commonly used in trade and commerce, particularly when dealing with goods that were easily grouped into dozens, such as eggs, nails, or other small wares. It provided a convenient way to count and package these items. While no specific laws directly mandated its use, it was a customary practice deeply ingrained in certain industries.

Examples of Quantities Using Long Hundred

Here are a few examples of how long hundreds might be used:

  • Nails: A hardware store might sell nails in long hundreds, making it easier to manage inventory.
  • Herrings: In the herring trade, fish were often counted and sold using the long hundred.
  • Other small wares: Any items that were easy to bundle into dozens could be sold using this unit.

Let's say you are buying nails, then

1 Long Hundred = 120 nails.

So buying 3 long hundreds would get you 360 nails.

3×120=3603 \times 120 = 360

Why did long hundreds cease to exist?

The adoption of the metric system and decimal-based accounting practices gradually led to the decline and eventual obsolescence of the long hundred. These modern systems provided greater efficiency and standardization.

What is Gross?

A "gross" is a unit of quantity equal to 144 items. It's commonly used as a collective unit, especially when dealing with large quantities of small items. Think of it as a "dozen dozens." The term is derived from the Old French word "grosse," meaning "large" or "thick."

Formation of a Gross

A gross is formed by multiplying a dozen (12) by another dozen (12). This is a simple multiplication:

1 gross=12×12=1441 \text{ gross} = 12 \times 12 = 144

Historical Context and Usage

The use of "gross" dates back to the Middle Ages, particularly in trade and commerce. It provided a convenient way to count and package items like buttons, pins, and other small goods. While not as prevalent today, it still finds use in certain industries.

Real-World Examples

  • Office Supplies: Boxes of pencils, pens, or paperclips are sometimes sold in gross quantities to large offices or schools.
  • Fasteners: Screws, bolts, and other small fasteners are often packaged and sold by the gross. For example, a hardware store might order a gross of a specific size of wood screw.
  • Craft Supplies: Beads, buttons, or other small crafting components may be purchased in gross quantities by artisans or manufacturers.
  • Retail: In the past, items like matches or small candies might have been sold by the gross in general stores.

Complete Long Hundred conversion table

Enter # of Long Hundred
Convert 1 long-hundred to other unitsResult
Long Hundred to Pieces (long-hundred to pcs)120
Long Hundred to Bakers Dozen (long-hundred to bk-doz)9.2307692307692
Long Hundred to Couples (long-hundred to cp)60
Long Hundred to Dozen Dozen (long-hundred to doz-doz)0.8333333333333
Long Hundred to Dozens (long-hundred to doz)10
Long Hundred to Great Gross (long-hundred to gr-gr)0.06944444444444
Long Hundred to Gross (long-hundred to gros)0.8333333333333
Long Hundred to Half Dozen (long-hundred to half-dozen)20
Long Hundred to Reams (long-hundred to ream)0.24
Long Hundred to Scores (long-hundred to scores)6
Long Hundred to Small Gross (long-hundred to sm-gr)1
Long Hundred to Trio (long-hundred to trio)40