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

Gross to Small Gross conversion table

Gross (gros)Small Gross (sm-gr)
00
11.2
22.4
33.6
44.8
56
67.2
78.4
89.6
910.8
1012
2024
3036
4048
5060
6072
7084
8096
90108
100120
10001200

How to convert gross to small gross?

Converting between Gross and Small Gross involves understanding the numerical values assigned to each unit.

Understanding Gross and Small Gross

A "gross" is a quantity equal to 144 items, while a "small gross" (also known as a "great dozen" or "long dozen") is equal to 120 items.

Converting 1 Gross to Small Gross

To convert 1 gross to small gross, you need to determine what fraction or multiple of a small gross is equal to 1 gross.

  • 1 Gross = 144 items
  • 1 Small Gross = 120 items

To find the conversion factor:

1 Gross1 Small Gross=144120=65=1.2\frac{1 \text{ Gross}}{1 \text{ Small Gross}} = \frac{144}{120} = \frac{6}{5} = 1.2

Therefore, 1 Gross is equal to 1.2 Small Gross.

1 Gross=1.2 Small Gross1 \text{ Gross} = 1.2 \text{ Small Gross}

Converting 1 Small Gross to Gross

To convert 1 small gross to gross, you need to determine what fraction or multiple of a gross is equal to 1 small gross. This is essentially the inverse of the previous calculation.

1 Small Gross1 Gross=120144=560.8333\frac{1 \text{ Small Gross}}{1 \text{ Gross}} = \frac{120}{144} = \frac{5}{6} \approx 0.8333

Therefore, 1 Small Gross is equal to approximately 0.8333 Gross.

1 Small Gross0.8333 Gross1 \text{ Small Gross} \approx 0.8333 \text{ Gross}

Step-by-Step Conversion

Converting Gross to Small Gross:

  1. Start with the quantity in Gross.
  2. Multiply by 1.2 to get the equivalent in Small Gross.

Example: 5 Gross to Small Gross

5 Gross×1.2=6 Small Gross5 \text{ Gross} \times 1.2 = 6 \text{ Small Gross}

Converting Small Gross to Gross:

  1. Start with the quantity in Small Gross.
  2. Multiply by 5/6 (or approximately 0.8333) to get the equivalent in Gross.

Example: 5 Small Gross to Gross

5 Small Gross×564.1667 Gross5 \text{ Small Gross} \times \frac{5}{6} \approx 4.1667 \text{ Gross}

Real-World Examples

These conversions are mainly applicable in inventory management, wholesale, and historical contexts where these units were more commonly used.

  • Office Supplies: A company might order paperclips in gross quantities. If they need to reallocate these paperclips into smaller packages measured in small gross for different departments, the conversion is essential.
  • Manufacturing: A factory producing small components like screws or bolts might deal with these units for production planning and distribution.
  • Historical Trade: Understanding historical trade records may require converting between these units to assess quantities of goods traded.

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 Small Gross to other unit conversions.

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.

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.

Complete Gross conversion table

Enter # of Gross
Convert 1 gros to other unitsResult
Gross to Pieces (gros to pcs)144
Gross to Bakers Dozen (gros to bk-doz)11.076923076923
Gross to Couples (gros to cp)72
Gross to Dozen Dozen (gros to doz-doz)1
Gross to Dozens (gros to doz)12
Gross to Great Gross (gros to gr-gr)0.08333333333333
Gross to Half Dozen (gros to half-dozen)24
Gross to Long Hundred (gros to long-hundred)1.2
Gross to Reams (gros to ream)0.288
Gross to Scores (gros to scores)7.2
Gross to Small Gross (gros to sm-gr)1.2
Gross to Trio (gros to trio)48