Question

Give a brief history of '0'(zero) and what if zero is not there in mathematics? answer only if you know or else I will dislike

Answer 1

Sol as to bay about redo Neither of the above uses has an described history. at just did zero makes shadowy appearances only to vanish again almost mathematician's were searching for us yet didnat recognize ite fundamental significance even when they lawin The first thing is that there are two lees ob zelo which are both extremely important but are somewhat different one use as an emptly place indicator in our place' - Value number system. Hence in a number like 2106 the reso is used so that the positiones of the a correct.'cleasely aic means something quite different The second use of zero in ga number itself in the form we use. There are also different aspects of Zeso. within these two uses namely the concept the notation, and the name. Cour name "zero" derives ultimately from the Arabic Sifer which also Guess us the word Cupher"). ensily invented the to use them. and I are it as o. not happen that someone ideas and then Also it is fair to the number reso is say that presyone started far CScanned with camScanner

from an things and hooses en any booblem with the ambiguity on tablets of unbaked clay, pressed into soft clay tablets problems btaated as intuitive concept. Mathematical real' booblems rather than abstract baoblems Numbers carey historical timen were thought ob much more concretely than the numbers today. There we giant mental leapes from 5 horses to 5 then to the abstract idea of five". If ancient peoples solved a problem about how many farmer needed then then the problem was not going to have o or-23 andwed one might think that once a place value number bybtem came into existence then the o as an empty place Indicator is a idea, yet the Babylonians had a place Value number Oluyetem without this 1000 yeade, moreoved there 46 absolutely no evidence that the Babylonians helt that there was which existed Remaakably osigintal foom Hye esa with the slanted edge of a stylus necesbelty feature for over 2 whole using cuneifoom CScanned w

Now the andent boreeks began there. empty place into use in adopt a positional Contabutions to mathematics around the Babylonian mathematics. The breeks howeveze dismiled this explanation since ground_130 HD was the Babylonian sexagesimal system together with time that zero as an indicator was coming however didnat number system Nowa 'bagi cally the breek mathematical were based on geometry. Although Euclid's elemente contains a book number theory, it is based on geometry Here we find the frist use of the symbol which we recognise today as the notation for rero, ore breek astronomere began to use the symbol There are many theories and some historians favour the explanation that it is only coon, the the breek word for aldeady weld omicoon in the Almergest waitten flast letter 11 the boecke a number. Now Ptolemy the empty place holder o. CScanned with CamScanner

zero and negative numbers in the Now the scene moves to India where it is fair to say the numerales and numbee System Luas bodn. Now an around 500 AD Aryabhata devised a number gayetem which has no zezo yet was a Bagitional system He used the word "Kha" for position and it would be used later as the mame boos zero. There is a evidence that a dot had been used in earlier Indian manussiptes to denote an empty place in positional notation: The Juist record of the Indian use of reso which is dated and agreed by ale to be genuine wag Loritten we have en inecóiption on a stone 1. tablet which containes a date which translates to 876. Now later three ambootant books the Indian mathematics, mahavira and Brahmagupta Bhaus Kara. the sules Brahmagupta. attempted to give ad ithmette involuing centupy. seventh CS Canned with CamSca.

10e we do in algebra was tve, ave. Variable og 7000 because counting and variables that you be necessary many things either require t'eos in order to expbelbed neatly neatly or would have to be done In several separate Canto ho according to Lohethed some 0% officient without them a much ole would have remained too difficult Algeboa, Calculas and beyond to learn, apply, and build on. Yet until you get to algebra, there is really no need for hero? It helps als o eligit in oud numbeo eliyentem, but earlier number systemer did fine without it. measuming Seal objecte positive numbers that you DX is only when you want to extend the deach and negative using numbers and stoot using zero d CS-mned with CamScanner