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Applied Sciences OPEN ACCESS

Modify The Number Whose Unit Place Is Zero To Be Divisible By 11, And Divisible By 9

Hussein Ahmed Ayed Rababa
The Hashemite Center For Public Opinion Poll - Jordan, Irbid
tajas 2021
VOL. 3 / NO. 11 NOVEMBER
VOLUME 3
ISSUE 11
YEAR 2021
PAGES 48-53

Abstract

In this article, the numbers in which the first digit is zero were studied, and what results from the number when adding or subtracting a group of other its numbers  to it, so by adding the digits of the number to the number whose first digit is zero, the result is a new number that is divisible by the number 11, and the result From dividing the number by the number 11 is the number that was added to the number, as well as from subtracting the digits of the number from the number whose first digit zero, the resulting number is divisible by the number 9, and the resulting number from the division is the same as the number that was subtracted, and what has been reached has been proven Mathematically.

Keywords

Unit Place Zero Number Divisible By11 Divisible By9

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References

  1. Barrow, John d. (2001) The Book of Nothing, vintage. ISBN 0-09-928845-1.
  2. David M Burton. Elementary Number Theory. Tata McGraw-HillEducation,2006.
  3. David M Burton. The History of Mathematics: An Introduction, volume 10. McGraw-Hill Science/Engineering/ Math,2010.8.
  4. Kaplan, Roper t.(2000) The Nothing That Is: A Natural History of Zero, Oxford: Oxford University Press.
  5. Aljohani, Sarah (2016) The Zero Number, International Journal of Scientific & Engineering Research, Volume 7, Issue4, P96 ,http://www.ijser.org.
  6. http://thepowerofzero.weebly.com/rules-of-zero.html#: Accessed on 4/2/2021
  7. Diehl, Richard A.(2004) The Olmecs: America’s First Civilization, Thames &Hudson, London.
  8. Joseph, G. G. (2008). A Brief History of Zero. Iranian journal for the history of science, 6, pp. 37-48.
  9. https://en.wikipedia.org/Wiki/0: Accessed on 3/6/2021
  10. Kisačanin, Branislav (1998). Mathematical problems and proofs: combinatorics, number theory, and geometry. Plenum Press. ISBN 978-0-306-45967-2
  11. Richmond, Bettina; Richmond, Thomas (2009). A Discrete Transition to Advanced Mathematics. Pure and Applied Undergraduate Texts. 3. American Mathematical Soc. ISBN 978-0-8218-4789-3