.9999... = 1 :D

so i waz reading this book on diff geomatry and look what it said

"evry numbr t 0<t<=1 can be representd by an infinte decimal (even 1 :O) t = 0,c1c2...cn...

fr exampol 1/8=0.125=0.1249999... k let cn1, cn2 be non-vnishing digitz

the image point t is point 0< x1,x2 <=1

x1=0.c1...cn1cn2+1...cn3... , x2=0.cn1+1...cn3cn3+1... so maping is 1to1

for example x1=0.04601..., x2=0.7000302... has inverse image t=0.047600030102... but im not sure i follow where t cumz from it doesnt seem to follow its patern earlier? can anyone break the digits t down into the corresponding cns and stufs? thx

why do we need to use cartesian coordinates anymore? We can just replace every pair of coordinates with one corresponding number. Simplicity.