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0. (006033182503770739064856711915535444947209653092)

0.(006033182503770739064856711915535444947209653092)

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Explicação passo a passo

1. Monte a divisao longa

$\frac{16}{2652}$

$\frac{16}{2652} = 16 \div 2652$ .

$\frac{16}{2652}$

$\frac{16}{2652} = 16 \div 2652$ .

$\frac{16}{2652}$

$\frac{16}{2652} = 16 \div 2652$ .

$16 \div 2652$

$\frac{16}{2652} = 16 \div 2652$ .

$16 \div 2652$

$\frac{16}{2652} = 16 \div 2652$ .

2. Identifique o ciclo de repeticao

$\frac{16}{2652}$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$\frac{16}{2652}$

$\frac{160}{2652} = d i g i t 0, r e m a \in d e r 160$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$160$

$\frac{1600}{2652} = d i g i t 0, r e m a \in d e r 1600$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$1600$

$\frac{16000}{2652} = d i g i t 6, r e m a \in d e r 88$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$88$

$\frac{880}{2652} = d i g i t 0, r e m a \in d e r 880$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$880$

$\frac{8800}{2652} = d i g i t 3, r e m a \in d e r 844$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$844$

$\frac{8440}{2652} = d i g i t 3, r e m a \in d e r 484$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$484$

$\frac{4840}{2652} = d i g i t 1, r e m a \in d e r 2188$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$2188$

$\frac{21880}{2652} = d i g i t 8, r e m a \in d e r 664$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$664$

$\frac{6640}{2652} = d i g i t 2, r e m a \in d e r 1336$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$1336$

$\frac{13360}{2652} = d i g i t 5, r e m a \in d e r 100$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$100$

$\frac{1000}{2652} = d i g i t 0, r e m a \in d e r 1000$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$1000$

$\frac{10000}{2652} = d i g i t 3, r e m a \in d e r 2044$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$2044$

$\frac{20440}{2652} = d i g i t 7, r e m a \in d e r 1876$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$1876$

$\frac{18760}{2652} = d i g i t 7, r e m a \in d e r 196$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$196$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$14$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

$0. (006033182503770739064856711915535444947209653092)$

$16 \to 160 \to 1600 \to 88 \to 880 \to 844 \to 484 \to 2188$ , $006033182503770739064856711915535444947209653092$ .

3. Escreva o decimal periodico

$16 / 2652 = 0. (006033182503770739064856711915535444947209653092)$

$0. (006033182503770739064856711915535444947209653092)$

$(006033182503770739064856711915535444947209653092) = 0. (006033182503770739064856711915535444947209653092)$ .

$0. (006033182503770739064856711915535444947209653092)$

$(006033182503770739064856711915535444947209653092) = 0. (006033182503770739064856711915535444947209653092)$ .

$0. (006033182503770739064856711915535444947209653092)$

$(006033182503770739064856711915535444947209653092) = 0. (006033182503770739064856711915535444947209653092)$ .

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Decimais periódicos são comuns em álgebra e estatística. Detectar ciclos ajuda na aritmética exata e na verificação de respostas.

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