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Question Number 17252 by Tinkutara last updated on 02/Jul/17

The sum of the digits of the number  2^(2000) 5^(2004)  is  Will it be 13 or 14?

$$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{digits}\:\mathrm{of}\:\mathrm{the}\:\mathrm{number} \\ $$$$\mathrm{2}^{\mathrm{2000}} \mathrm{5}^{\mathrm{2004}} \:\mathrm{is} \\ $$$$\mathrm{Will}\:\mathrm{it}\:\mathrm{be}\:\mathrm{13}\:\mathrm{or}\:\mathrm{14}? \\ $$

Commented by prakash jain last updated on 02/Jul/17

5^4 ×10^(2000) =62500000...0000  =6+2+5+0+0=13

$$\mathrm{5}^{\mathrm{4}} ×\mathrm{10}^{\mathrm{2000}} =\mathrm{62500000}...\mathrm{0000} \\ $$$$=\mathrm{6}+\mathrm{2}+\mathrm{5}+\mathrm{0}+\mathrm{0}=\mathrm{13} \\ $$

Commented by Tinkutara last updated on 02/Jul/17

Thanks Sir! I misunderstood it.

$$\mathrm{Thanks}\:\mathrm{Sir}!\:\mathrm{I}\:\mathrm{misunderstood}\:\mathrm{it}. \\ $$

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