how many digits

\hspace{-16}$How many digits are used in total to write the natural numbers \\\\ from $\bf{1}$ to $\bf{100 ^ {1000}.}$

2 Answers

383

Soumyabrata Mondal ·2013-02-28 07:56:54

[1*9*10^⁰+2*9*10¹+3*9*10²+4*9*10³+...........+2000*9*10²⁰⁰⁰]+2001

UP 0 DOWN 1
Soumyabrata Mondal * last 1 is 10[power]1999
Upvote·0· Reply ·2013-02-28 08:00:42
Post on FacebookPost anonymously?

383

Soumyabrata Mondal ·2013-02-28 07:57:39

100^1000 is a 2001 digit number

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω