THE WORLD OF NUMBERS

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Across
  1. 1. The ancient Indian philosophical and meditative state of "emptiness" or "nothingness" that provided the framework for zero
  2. 2. A bold dot used in the ancient Bakhśhālī Manuscript to represent zero.
  3. 6. A fascinating repeating block of digits (like 142857) that simply shifts in a circular pattern when multiplied
  4. 8. The mathematician who formally transformed the void into a number and introduced rules for zero and negative numbers
  5. 11. A rational decimal expansion that eventually leaves a remainder of 0 and stops
  6. 12. An ancient term meaning "approximation," used by Āryabhaṭa regarding his calculation of Pi
  7. 14. The ancient Indian mathematical term used to represent "fortunes" or positive numbersTERMINATING, A rational decimal expansion that eventually leaves a remainder of 0 and stops
  8. 15. The ancient Indian term used by Brahmagupta to represent "debts" or negative numbers
Down
  1. 1. The Sanskrit word for zero
  2. 3. A 20,000-year-old bone found in the Congo that contains groupings of prime numbers and evidence of multiplication .
  3. 4. The set of numbers formed by uniting the rational and irrational numbers into a continuous, unbroken line
  4. 5. Numbers like the square root of 2 and Pi that cannot be written as fractions
  5. 7. An ancient 35,000-year-old bone featuring 29 uniform notches, discovered in Africa
  6. 9. A decimal expansion of a rational number that loops infinitely and never reaches a remainder of 0
  7. 10. The mathematician from the Pythagorean school who used "Proof by Contradiction" to prove that the square root of 2 is irrational
  8. 13. The mathematician from Sangamagrama who discovered that Pi must be expressed using an infinite series rather than a single fraction