Question Number 152536 by Tawa11 last updated on 29/Aug/21
$$\mathrm{How}\:\mathrm{many}\:\mathrm{zeroes}\:\mathrm{are}\:\mathrm{there}\:\mathrm{in}\:\:\:\mathrm{99}! \\ $$
Commented by MATHkingElsenK last updated on 29/Aug/21
$$\mathrm{99}/\mathrm{5}=\mathrm{19} \\ $$$$\mathrm{19}/\mathrm{5}=\mathrm{3} \\ $$$$\mathrm{19}+\mathrm{3}=\mathrm{22}\: \\ $$
Commented by Tawa11 last updated on 29/Aug/21
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{Thanks}. \\ $$
Answered by mr W last updated on 29/Aug/21
$$\mathrm{10}=\mathrm{2}×\mathrm{5} \\ $$$$\lfloor\frac{\mathrm{99}}{\mathrm{5}}\rfloor+\lfloor\frac{\mathrm{99}}{\mathrm{5}^{\mathrm{2}} }\rfloor=\mathrm{19}+\mathrm{3}=\mathrm{22} \\ $$
Commented by Tawa11 last updated on 29/Aug/21
$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$$$\mathrm{But}\:\mathrm{sir},\:\mathrm{what}\:\mathrm{of}\:\mathrm{the}\:\mathrm{zeroes}\:\mathrm{between}\:\mathrm{numbers}. \\ $$
Commented by Tawa11 last updated on 29/Aug/21
Commented by mr W last updated on 29/Aug/21
$${i}\:{don}'{t}\:{think}\:{we}\:{can}\:{get}\:{the}\:{number}\:{of} \\ $$$${all}\:{zeros}\:{in}\:{n}!. \\ $$
Commented by Tawa11 last updated on 29/Aug/21
$$\mathrm{Alright}\:\mathrm{sir}.\:\mathrm{Thanks}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}. \\ $$
Commented by Tawa11 last updated on 29/Aug/21
$$\mathrm{That}\:\mathrm{means}\:\mathrm{we}\:\mathrm{can}\:\mathrm{only}\:\mathrm{get}\:\mathrm{the}\:\mathrm{tailing}\:\mathrm{zeroes} \\ $$