Small Gross (sm-gr) to Great Gross (gr-gr) conversion

Small Gross to Great Gross conversion table

Small Gross (sm-gr)Great Gross (gr-gr)
00
10.06944444444444
20.1388888888889
30.2083333333333
40.2777777777778
50.3472222222222
60.4166666666667
70.4861111111111
80.5555555555556
90.625
100.6944444444444
201.3888888888889
302.0833333333333
402.7777777777778
503.4722222222222
604.1666666666667
704.8611111111111
805.5555555555556
906.25
1006.9444444444444
100069.444444444444

How to convert small gross to great gross?

Let's explore the conversion between Small Gross and Great Gross, covering the steps, mathematical relationship, and real-world contexts where these units might appear.

Understanding Small Gross and Great Gross

A "gross" is a unit of quantity equal to 144 items (12 dozens). "Small Gross" and "Great Gross" are variations on this unit.

  • Small Gross: 1 gross = 144 items
  • Great Gross: 12 gross = 1728 items

This conversion doesn't depend on base 10 or base 2; it's a simple numerical relationship.

Conversion Formulas

Small Gross to Great Gross

To convert from Small Gross to Great Gross, use the following formula:

Great Gross=Small Gross12\text{Great Gross} = \frac{\text{Small Gross}}{12}

For example, converting 1 Small Gross to Great Gross:

Great Gross=1120.0833 Great Gross\text{Great Gross} = \frac{1}{12} \approx 0.0833 \text{ Great Gross}

Great Gross to Small Gross

To convert from Great Gross to Small Gross, use the following formula:

Small Gross=Great Gross×12\text{Small Gross} = \text{Great Gross} \times 12

For example, converting 1 Great Gross to Small Gross:

Small Gross=1×12=12 Small Gross\text{Small Gross} = 1 \times 12 = 12 \text{ Small Gross}

Step-by-Step Instructions

Converting Small Gross to Great Gross:

  1. Start with the quantity in Small Gross.
  2. Divide the quantity by 12.
  3. The result is the equivalent quantity in Great Gross.

Converting Great Gross to Small Gross:

  1. Start with the quantity in Great Gross.
  2. Multiply the quantity by 12.
  3. The result is the equivalent quantity in Small Gross.

Historical Context and Interesting Facts

The use of the "gross" as a unit dates back to medieval trade. The term is believed to have originated from the Old French word "grosse," meaning large or thick. The concept of grouping items into dozens and grosses likely arose from practical needs in commerce for easier counting and handling of goods. The "Great Gross" is simply a larger grouping, equivalent to a dozen grosses.

Real-World Examples

While the use of "Small Gross" and "Great Gross" is not as common in modern contexts, they might still be encountered in specific industries or historical records. These units traditionally applied to manufactured items. Here are some examples of things that you can measure with these units:

  1. Fasteners: A manufacturer producing screws might track inventory and sales in terms of Small Gross (144 screws) or Great Gross (1728 screws).
  2. Buttons or beads: A supplier of craft materials might sell buttons or beads in Small Gross or Great Gross quantities to retailers.
  3. Stationery: Pens, pencils, or erasers could be ordered or stocked in these units by a large office supply company.
  4. Ceramics: Tiles could be purchased in small gross of 144 or great gross of 1728.
  5. Toys: Marbles, stickers, and other small items can be purchased in small or great gross depending on the business needs.

In modern manufacturing and commerce, electronic spreadsheets and databases have largely replaced manual counting and calculations. However, the underlying principle of grouping items for efficiency remains relevant.

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 Great Gross to other unit conversions.

What is a Small Gross?

A small gross, also known as a short gross, is a unit of quantity equal to 12 dozens, or 144 items. It's primarily used for counting items sold in bulk. It's related to a gross, which is equal to 12 dozens or 144 items but it is a historical term less commonly used nowadays.

Formation of Small Gross

The term "gross" originates from the Old French word "grosse," meaning "large" or "thick." Its adoption as a counting unit likely stems from the convenience of representing a quantity larger than a dozen but still manageable for commerce. The "small" modifier is used to distinguish it from other similar terms that are now obsolete.

  • Dozen: 12 items
  • Small Gross: 12 dozens = 144 items
  • Gross: 12 dozens = 144 items

Historical Context and Usage

While there isn't a specific law or famous figure directly tied to the small gross, its significance lies in its historical use in trade and inventory management. Before the widespread adoption of decimal-based systems, units like the small gross provided a standardized way to handle bulk quantities. Today, it's more common to directly use the number 144 or simply refer to a "gross" because "small gross" became an outdated and redundant term.

Real-World Examples of Quantities Measured in Gross or Multiples Thereof

Although using "small gross" is outdated, thinking in terms of 144 (or dozens of dozens) can be helpful:

  • Screws/Nails/Fasteners: In manufacturing or hardware, a large quantity of small components like screws, nails, or fasteners may be purchased, stored, or inventoried in multiples of gross to simplify handling and record-keeping.
  • Buttons/Beads/Craft Supplies: Craft suppliers or manufacturers might sell small items like buttons or beads in gross quantities.
  • Office Supplies: Items like pencils, pens, erasers, or paper clips might be purchased by businesses in gross quantities for stocking supply rooms.
  • Packaging: A company needing to package a large order might calculate the amount of packaging that they need in units of Gross. For example, they might need 2 gross of boxes or bubble wraps to fulfill an incoming order.

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

Complete Small Gross conversion table

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