Category:Definitions/Number-Naming Systems
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This category contains definitions related to Number-Naming Systems.
There are various number-naming systems for naming large numbers (that is: greater than $1 \, 000 \, 000$).
Short Scale
The short scale system is the number-naming system which uses:
- the word million for $10^6 = 1 \, 000 \, 000$
- the Latin-derived prefixes bi-, tri-, quadri-, quint-, etc. for each further multiple of $1 \, 000$, appended to the root -(i)llion, corresponding to the indices $2$, $3$, $4$, $5$, $\ldots$
Thus:
one billion: | \(\ds = 1 \, 000 \, 000 \, 000 \) | \(\ds = 10^9 = 10^{2 \times 3 + 3} \) | |||||||
one trillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{12} = 10^{3 \times 3 + 3} \) | |||||||
one quadrillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{15} = 10^{4 \times 3 + 3} \) | |||||||
one quintillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{18} = 10^{5 \times 3 + 3} \) |
Thus one $n$-illion equals $1000 \times 10^{3 n}$ or $10^{3 n + 3}$
Long Scale
The long scale system is the number-naming system which uses:
- the word million for $10^6 = 1 \, 000 \, 000$
- the Latin-derived prefixes bi-, tri-, quadri-, quint-, etc. for each further multiple of $1 \, 000 \, 000$, appended to the root -(i)llion, corresponding to the indices $2$, $3$, $4$, $5$, $\ldots$
Thus:
one billion: | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{12} = 10^{2 \times 6} \) | |||||||
one trillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{18} = 10^{3 \times 6} \) | |||||||
one quadrillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{24} = 10^{4 \times 6} \) | |||||||
one quintillion | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{30} = 10^{5 \times 6} \) |
Thus one $n$-illion equals $10^{6 n}$.
Additional terms are occasionally found to fill some of the gaps, but these are rare nowadays:
one milliard: | \(\ds = 1 \, 000 \, 000 \, 000 \) | \(\ds = 10^9 \) | |||||||
one billiard | \(\ds = 1 \, 000 \, 000 \, 000 \, 000 \, 000 \) | \(\ds = 10^{15} \) |
Subcategories
This category has the following 7 subcategories, out of 7 total.
B
- Definitions/Billion (5 P)
C
- Definitions/Centillion (3 P)
M
- Definitions/Milli-Millillion (3 P)
Q
- Definitions/Quadrillion (6 P)
- Definitions/Quintillion (5 P)
T
- Definitions/Trillion (5 P)
V
- Definitions/Vigintillion (4 P)
Pages in category "Definitions/Number-Naming Systems"
The following 6 pages are in this category, out of 6 total.