Question

Cum aflii cate zerouri are produsul numerelor de la 1 la 25

Answer 1

[tex]Pentru\ a\ afla\ in\ cate\ zero-uri\ se\termina\ un\ produs\ ca\ acesta\\ vom\ folosi\ formula:\\ \boxed{[\frac{n}{5}]+[\frac{n}{25}]+[\frac{n}{125}]+...+ [\frac{n}{5^x}]},(unde\ [a]\ reprezinta\ partea\\ intreaga)\\ Inlocuim:\\ {[\frac{25}{5}]+[\frac{25}{25}]+[\frac{25}{125}]= (nu\ are\ rost\ sa\ mergem\ mai\ departe)}\\ {[5]+[1]+[0]=}\\ 5+1+0=\boxed{6}\\ Asadar\ numarul\ se\ termina\ in\ 6\ zerouri.[/tex]