Indian Number System: Difference between revisions
(References added) |
|||
| Line 68: | Line 68: | ||
In the Yaurveda Saṃhitā (Vājasaneyi) the following list of numeral 'denominations is given: Eka (1), daśa (10), śata (100), sahasra (1000), ayuta (10,000), niyuta (100,000), prayuta (1,000,000), arbuda (10,000,000), nyarbuda (100,000,000), samudra (1,000,000,000), madhya (10,000,000,000), anta (100,000,000,000), parārdha (1,000,000,000,000). The same list occurs at two places in the Taittirīya Saṃhitā . | In the Yaurveda Saṃhitā (Vājasaneyi) the following list of numeral 'denominations is given: Eka (1), daśa (10), śata (100), sahasra (1000), ayuta (10,000), niyuta (100,000), prayuta (1,000,000), arbuda (10,000,000), nyarbuda (100,000,000), samudra (1,000,000,000), madhya (10,000,000,000), anta (100,000,000,000), parārdha (1,000,000,000,000). The same list occurs at two places in the Taittirīya Saṃhitā . | ||
== Decimal Place Value System == | |||
Āryabhaṭa uses the phrase ' स्थानात् स्थानं दशगुणं स्यात् ' to explain the place value system. This means "the number from place to place is ten times the preceding one." To understand the place value system | |||
== See Also == | == See Also == | ||
Revision as of 18:46, 17 May 2022
Introduction
Numbers are essential in our life. Counting with numbers is required in our day to day transactions. What is the population of our country? How many members are affected with the pandemic? What is the temperature in the city ? What is the distance between two cities ? What is the cost of the daily essentials ? These are the questions coming as part of our life. Answers to these questions will be in numbers only.
Let us see what these numbers are and how did they originate?
Counting starts from the number One. Zero is a number which precedes number One. The Numbers from 0 to 9 which we use for counting have an interesting history.
The Indian Numerals
India has a very ancient history dating back to thousands of years[1]. In those days Samskrit was commonly used.
| Numbers | Sanskrit Name | Numbers | Sanskrit Name |
|---|---|---|---|
| 1 | ekam | 10+1 = 11 | ekādaśa |
| 2 | dve | 10+5 = 15 | pañcadaśa |
| 3 | trīṇi | 10+10 =20 | viṃśatiḥ |
| 4 | catvāri | 50 | pañcāśat |
| 5 | pañca | 100 | śatam |
| 6 | ṣaṭ | ||
| 7 | sapta | ||
| 8 | aṣṭa | ||
| 9 | nava | ||
| 10 | daśa |
While the Greeks had no terminology for denominations above the myriad (104) and the Romans above the mille (103) , the ancient Hindus dealt freely with no less than eighteen denominations[2]. In modern times also, the numeral language of no other nation is as scientific and perfect as that of the Hindus.
In the Yaurveda Saṃhitā (Vājasaneyi) the following list of numeral 'denominations is given: Eka (1), daśa (10), śata (100), sahasra (1000), ayuta (10,000), niyuta (100,000), prayuta (1,000,000), arbuda (10,000,000), nyarbuda (100,000,000), samudra (1,000,000,000), madhya (10,000,000,000), anta (100,000,000,000), parārdha (1,000,000,000,000). The same list occurs at two places in the Taittirīya Saṃhitā .
Decimal Place Value System
Āryabhaṭa uses the phrase ' स्थानात् स्थानं दशगुणं स्यात् ' to explain the place value system. This means "the number from place to place is ten times the preceding one." To understand the place value system
See Also
External Links
References
- ↑ A Primer to Bhāratīya Gaṇitam , Bhāratīya-Gaṇita-Praveśa- Part-1. Samskrit Promotion Foundation. 2021. ISBN 978-81-951757-2-7.
- ↑ Datta, Bibhutibhusan; Narayan Singh, Avadhesh (1962). History of Hindu Mathematics. Mumbai: Asia Publishing House.
