Great Gross (gr-gr) to Long Hundred (long-hundred) conversion

Great Gross to Long Hundred conversion table

Great Gross (gr-gr)Long Hundred (long-hundred)
00
114.4
228.8
343.2
457.6
572
686.4
7100.8
8115.2
9129.6
10144
20288
30432
40576
50720
60864
701008
801152
901296
1001440
100014400

How to convert great gross to long hundred?

Converting between "Great Gross" and "Long Hundred" involves understanding their definitions and then applying the appropriate conversion factor.

Understanding the Units

  • Great Gross: A great gross is a unit of quantity equal to 144 dozens, or 1728 individual items.

  • Long Hundred: A long hundred, also known as a great hundred or twelve dozen, is a unit of quantity equal to 120 individual items.

Conversion Formula

To convert between these units, we'll use the following relationships:

  • 1 Great Gross = 1728 items
  • 1 Long Hundred = 120 items

Converting Great Gross to Long Hundred

To convert from Great Gross to Long Hundred, we determine how many Long Hundreds are equivalent to one Great Gross.

  1. Start with 1 Great Gross:

    • 1 Great Gross=1728 items1 \text{ Great Gross} = 1728 \text{ items}
  2. Convert to Long Hundred:

    • Number of Long Hundreds=Number of itemsItems per Long Hundred\text{Number of Long Hundreds} = \frac{\text{Number of items}}{\text{Items per Long Hundred}}
    • Number of Long Hundreds=1728120=14.4\text{Number of Long Hundreds} = \frac{1728}{120} = 14.4

Therefore, 1 Great Gross is equal to 14.4 Long Hundreds.

1 Great Gross=14.4 Long Hundreds1 \text{ Great Gross} = 14.4 \text{ Long Hundreds}

Converting Long Hundred to Great Gross

To convert from Long Hundred to Great Gross, we determine how many Great Grosses are equivalent to one Long Hundred.

  1. Start with 1 Long Hundred:

    • 1 Long Hundred=120 items1 \text{ Long Hundred} = 120 \text{ items}
  2. Convert to Great Gross:

    • Number of Great Grosses=Number of itemsItems per Great Gross\text{Number of Great Grosses} = \frac{\text{Number of items}}{\text{Items per Great Gross}}
    • Number of Great Grosses=1201728=0.069444...\text{Number of Great Grosses} = \frac{120}{1728} = 0.069444...

Therefore, 1 Long Hundred is approximately equal to 0.0694 Great Grosses.

1 Long Hundred0.0694 Great Grosses1 \text{ Long Hundred} \approx 0.0694 \text{ Great Grosses}

Historical Context and Usage

These units (Great Gross and Long Hundred) are historical units of quantity and are not commonly used in modern contexts. They were primarily used in commerce and inventory management, particularly for items sold in bulk, such as nails, fasteners, or small manufactured goods.

Real-World Examples (Hypothetical)

While not commonly used today, imagine:

  1. Fastener Manufacturing: A manufacturer produces screws. Instead of counting individual screws, they might track inventory in Great Grosses. If a sales order comes in for 28.8 Long Hundreds of screws, they would need to ship 2 Great Gross.

    • 28.8 Long Hundred÷14.4 Long Hundred/Great Gross=2 Great Gross28.8 \text{ Long Hundred} \div 14.4 \text{ Long Hundred/Great Gross} = 2 \text{ Great Gross}
  2. Button Sales: A vintage button shop might buy buttons in Long Hundreds to repackage and sell individually or in smaller sets. One Great Gross (1728 buttons) equals 14.4 Long Hundreds of buttons.

Credible source

  1. NIST (National Institute of Standards and Technology): Although they may not specifically address Great Gross or Long Hundred, NIST provides fundamental definitions and standards for measurement units, which can help contextualize these historical quantities. Look for resources related to historical measurement units. https://www.nist.gov/

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 Long Hundred to other unit conversions.

What is great gross?

Great Gross is a rather uncommon unit of quantity, mainly used historically in commerce and inventory management. Let's explore its definition, formation, and some examples.

Defining Great Gross

A great gross is a unit of quantity equal to 12 gross, or 144 dozens, or 1728 individual items. It is primarily used when dealing with large quantities of small items.

Formation of Great Gross

The great gross is formed through successive groupings:

  • 12 items = 1 dozen
  • 12 dozens = 1 gross (144 items)
  • 12 gross = 1 great gross (1728 items)

Thus, a great gross represents a significantly larger quantity than a gross or a dozen.

Common Usage & Examples

While not as common today due to the adoption of more standardized units and digital inventory systems, great gross was historically used for items sold in bulk:

  • Buttons: A haberdasher might order buttons in great gross quantities to ensure they had enough for various clothing projects.
  • Screws/Nails: A hardware store could purchase small screws or nails in great gross to stock shelves.
  • Pencils: A large school district might order pencils in great gross for the entire year.
  • Small Toys: A toy manufacturer might produce small toys in great gross quantities for distribution.

Historical Significance and Laws

While there isn't a specific "law" directly tied to the great gross unit, its use highlights historical trade practices and inventory management techniques. There aren't any famous people directly associated with "Great Gross." Its significance is rooted in the pre-metric system era where base-12 calculations were prevalent. These concepts came from ancient Sumaria and Babylonia.

Modern Relevance

Today, while great gross might not be a common term, the concept of bulk ordering remains relevant. Businesses still consider quantity discounts and economies of scale when purchasing supplies, even if they are measuring those quantities in different units.

Volume Calculation

If you were to calculate the volume of items in great gross you could use following formula

Vgreatgross=NVsingleitemV_{greatgross} = N * V_{singleitem}

Where:

VgreatgrossV_{greatgross} is volume of the items in great gross N=1728N = 1728 the number of items in Great Gross VsingleitemV_{singleitem} is the volume of a single item

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.

Complete Great Gross conversion table

Enter # of Great Gross
Convert 1 gr-gr to other unitsResult
Great Gross to Pieces (gr-gr to pcs)1728
Great Gross to Bakers Dozen (gr-gr to bk-doz)132.92307692308
Great Gross to Couples (gr-gr to cp)864
Great Gross to Dozen Dozen (gr-gr to doz-doz)12
Great Gross to Dozens (gr-gr to doz)144
Great Gross to Gross (gr-gr to gros)12
Great Gross to Half Dozen (gr-gr to half-dozen)288
Great Gross to Long Hundred (gr-gr to long-hundred)14.4
Great Gross to Reams (gr-gr to ream)3.456
Great Gross to Scores (gr-gr to scores)86.4
Great Gross to Small Gross (gr-gr to sm-gr)14.4
Great Gross to Trio (gr-gr to trio)576