11’s as a Multiplier

DOI

10.2991/coema-18.2018.18How to use a DOI?

Keywords

multiplication with 11’s, divisibility rules

Abstract

Technology has benefitted human lives a lot by making it better, easy, and possible. But, it is also a product of human from his creative and critical thinking in the form of the applications of equations. This illustrates how important is to discover those equations and its uses in real – life situations. This qualitative study was investigated to find a formula that serves as a shortcut when multiplying the 11’s with a positive integer. It was inspired and developed from the divisibility rules in arithmetic taught in elementary. It was initiated when a number multiplied by 11 has a product which is the just the sum of the succeeding digits of the multiplicand. To extend this investigation, some positive integers were multiplied with 111, 1111, and so on. This leads to the theorem that explains the formula for multiplying positive integer N with 111…1; that is, N x 111…1 is equal to for some positive integers N, n, i, k, x, and r. This study further concluded that formulating equations is what it makes a critical thinker wise and what it makes technology even more advanced every now and then.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Normalah P. Solaiman
PY  - 2018/10
DA  - 2018/10
TI  - 11’s as a Multiplier
BT  - Proceedings of the 3rd International Conference on Educational Management and Administration (CoEMA 2018)
PB  - Atlantis Press
SP  - 63
EP  - 67
SN  - 2352-5398
UR  - https://doi.org/10.2991/coema-18.2018.18
DO  - 10.2991/coema-18.2018.18
ID  - Solaiman2018/10
ER  -