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Quantity converter

Enter a number of pairs, dozens, scores, grosses or single items and read the same count in every listed grouping. The calculator works in whole items, not money.

Calculator

Enter a non-negative quantity in the chosen grouping. Fractions are allowed, so 0.5 dozen means 6 items.

Value in single units
1 units
Value in pairs
0.5 pairs
Value in half dozens
0.166667 half dozens
Value in dozens
0.0833333 dozen
Value in baker's dozens
0.0769231 baker's dozen
Value in scores
0.05 score
Value in grosses
0.00694444 gross
Value in great grosses
0.000578704 great gross
Value in decades (groups of ten)
0.1 decades

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How this calculator works

These words are traditional ways of counting groups of items. A pair is two, a dozen is twelve, a baker's dozen is thirteen because bakers once added a thirteenth loaf to avoid a short weight, a score is twenty, a gross is a dozen dozens (144) and a great gross is a dozen gross (1,728). A decade is a group of ten and is unrelated to a decade of years.

Formula

items = entered value x F(group), where F is the number of items in the group: pair 2, half dozen 6, dozen 12, baker's dozen 13, score 20, gross 144, great gross 1,728 and decade 10. The value in another group is items ÷ F(that group).

Worked example

3 dozen is 36 items, 3 pairs, 1.8 scores and 0.25 gross. 2 great gross is 3,456 items, 288 dozen or 24 gross. 5 scores is 100 items or 8.333 dozen.

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Frequently asked questions

Why is a baker's dozen 13?

Bakers in medieval England faced heavy penalties for selling short weight. Adding a thirteenth loaf to a dozen reduced the risk that a batch would be under weight.

Is a gross the same as a great gross?

No. A gross is 12 dozen, or 144 items. A great gross is 12 gross, or 1,728 items.

Can I enter a fraction of a dozen?

Yes. The calculator works in items, so 0.5 dozen is 6 items and 2.25 scores is 45 items. It does not round to whole groups.

Sources

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