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Numbers in Indian Mathematics
[According to Naarad Puraan, p 242]
see also Numbers 1-10;
Numbers 10-108;
Numbers-9; Numbers-108;
Numbers in Ved;
Paraardh;
In Indian system
numbers increase in two except the first hundred, which is in three (one
hundred); while in western system they increase in hundreds throughout
the writings.
These numbers may be
added or subtracted from unit side or from the other side, the addition
and subtraction will be the same if the units are added or subtracted to
units and tens are added or subtracted to tens etc.
Most of texts
including Mathematics texts in Sanskrit define "Arbud' as 10 Crore
"Eka Dash Shat Sahasra Ayut Laksh Prayut Kotaya:
kramasha : Arbutam Abjam Kharva Nikharva Mahaa Padm Shankh Vasthasmal !!
Jaladhi shyanthyam Madhyam Paraardhmiti dash gunottaraa samajjnaa:"
(The First Pad of this Shlok gives names up to Paraardh -
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Writing Style in India |
|
Names in Hindi |
|
Names in English |
|
Writing Style in West |
1 |
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Ek |
|
Unit |
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1 |
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10 |
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Das |
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Ten |
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10 |
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100 |
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Shat (Senkadaa) |
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One Hundred |
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100 |
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1,000 |
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Sahastra (Hazaar) |
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One Thousand |
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1,000 |
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10,000 |
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Ayut (Das Hazaar) |
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Ten Thousand |
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10,000 |
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1,00,000 |
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Laksh (Laakh) |
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One Hundred Thousand |
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100,000 |
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10,00,000 |
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Prayut (Das Laakh) |
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One Million |
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1,000,000 |
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1,00,00,000 |
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Koti (Crore) |
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Ten Million |
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10,000,000 |
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10,00,00,000 |
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Arbud (Das Crore) |
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One Hundred Million |
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100,000,000 |
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1,00,00,00,000 |
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Abj (Arab) |
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One Billion |
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1,000,000,000 |
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10,00,00,00,000 |
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Kharv (Das Arab) |
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Ten Billion |
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10,000,000,000 |
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1,00,00,00,00,000 |
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Nikharv (Kharv or Kharab) |
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One Hundred Billion |
|
100,000,000,000 |
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10,00,00,00,00,000 |
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Mahaapadm (Das Kharv or Das Kharab) |
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One Trillion |
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1,000,000,000,000 |
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1,00,00,00,00,00,000 |
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Shanku (Neel) |
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Ten Trillion |
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10,000,000,000,000 |
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10,00,00,00,00,00,000 |
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Jaladhi (Das Neel) |
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One Hundred Trillion |
|
100,000,000,000,000 |
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1,00,00,00,00,00,00,000 |
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Antya (Padm) |
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One Zillion |
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1,000,000,000,000,000 |
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10,00,00,00,00,00,00,000 |
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Madhya (Das Padm) |
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Ten Zillion |
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10,000,000,000,000,000 |
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1,00,00,00,00,00,00,00,000 |
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Paraardh (Shankh) |
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One Hundred Zillion |
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100,000,000,000,000,000 |
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10,00,00,00,00,00,00,00,000 |
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Das Shankh |
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Exponential Numbers in Ancient India
Taken from
Mathematics in Ancient India
The highest prefix used for raising 10 to the power in today's mathematics is
"D" for 1030 (for Greek Deca). While as early as 100 BC Hindu mathematicians
had exact names for figures up to 1053.
a. Ekam = 1
b. Dashkam = 10 (101)
c. 1 Shatam = 100 (102)
d. 10 Shatam = 1 Shahashram = 1000 (103)
e. 10 Dash Shahashram = 10,000 (104)
f. Laksha = 100,000 (105)
g. Dash Laksha = 10,00,000 (106)
h. Kotihi = 10, 00, 0000 (107)
i. Ayutam = 100,000,000 (109)
j. Niyutam = 100,000,000,000 (1011)
k. Kankaram = 10,000,000,000,000 (1013)
l. Vivaram = 10,000,000,000,000,000 (1016)
m. Paraaradhahaa = 1017
n. Nivahata = 1019
o. Utsangaha = 1021
p. Bahulam = 1023
q. Naagbaalaha = 1025
r. Titlambam = 1027
s. Vyavasthaanapragnaptihi = 1029
t. Hetuhellam = 1031
u. Karahuhu = 1033
v. Hetvindreeyam = 1035
w. Sampaata Lambhaha = 1037
x. Gananaagatihi = 1039
y. Niravadyam = 1041
z. Mudraabalam = 1043
aa. Saraabalam = 1045
ab. Vishamagnagatihi = 1047
ac. Sarvagnaha = 1049
ad. Vibhutangaama = 1051
ae. Tallakshanaam = 1053
Is it not
amazing to know that the ancient Hindu sages used to remember them just
by using their outstanding memory power or was there some super computer
known to them also, which we are quite unaware of?
In Anuyog
Dwaar Sootra, written around 100 BC, one numeral had been shown to be
raised to as high as 10140 which is beyond our outmost stretches of
imagination. All of our remaining hidden treasures, which had not been
destroyed or stolen by the foreign mercenaries and invaders, were
written in Sanskrit, mother of all languages, which should be revived.
It is our legacy to inherit such rich property that our forefather had
left for us by their meticulous observations over thousands of years
ago.
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