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Problem 42

Number theory Difficulty 1.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2016

Little Lucas invented his own way to write down negative numbers before he learned the usual way with the minus sign in front. Counting backwards, he would write: 3, 2, 1, 0, 00, 000, 0000, .... What is the result of $000 + 0000$ in his notation?

(A) $1$ (B) $00000$ (C) $000000$ (D) $0000000$ (E) $00000000$

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