Matemática, perguntado por DEDEDE3239, 6 meses atrás

QUAL É A SOMA DOS ALGARISMOS DO NÚMERO: 10 ELEVADO A 1500+ 10 ELEVADO 1792+ 10 ELEVADO A 1822 +10 ELEVADO A 1888+ 10 ELEVADO A 1889. ​


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Soluções para a tarefa

Respondido por viancolz
2

Resposta:

A soma dos algarismos é 5.

Explicação passo a passo:

10^1500 + 10^1792 + 10^1822 + 1^1888 + 10^1889 =

100000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001

=  5

Vilmar


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Respondido por andre19santos
3

A soma dos algarismos deste número é 5.

O 10¹⁵⁰⁰ é um número formado pelo algarismo 1 seguido de 1500 zeros, então a soma dos algarismos deste número é 1.

O 10¹⁷⁹² é um número formado pelo algarismo 1 seguido de 1792 zeros, então a soma dos algarismos deste número é 1.

O mesmo acontece com os demais números, então, ao somar 5 números cuja soma dos algarismos é 1, obtemos um número cuja soma dos algarismos é 5.


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