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解答 - 老虎代数解答器

最终结果步骤术语和主题

0.1 (923076)

0.1(923076)

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逐步解答

1. 建立长除法

$\frac{10}{52}$

$\frac{10}{52} = 10 \div 52$ .

$\frac{10}{52}$

$\frac{10}{52} = 10 \div 52$ .

$\frac{10}{52}$

$\frac{10}{52} = 10 \div 52$ .

$10 \div 52$

$\frac{10}{52} = 10 \div 52$ .

$10 \div 52$

$\frac{10}{52} = 10 \div 52$ .

2. 识别循环周期

$\frac{10}{52}$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$\frac{10}{52}$

$\frac{100}{52} = d i g i t 1, r e m a \in d e r 48$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$48$

$\frac{480}{52} = d i g i t 9, r e m a \in d e r 12$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$12$

$\frac{120}{52} = d i g i t 2, r e m a \in d e r 16$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$16$

$\frac{160}{52} = d i g i t 3, r e m a \in d e r 4$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$4$

$\frac{40}{52} = d i g i t 0, r e m a \in d e r 40$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$40$

$\frac{400}{52} = d i g i t 7, r e m a \in d e r 36$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$36$

$\frac{360}{52} = d i g i t 6, r e m a \in d e r 48$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$48$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

$0.1 (923076)$

$10 \to 48 \to 12 \to 16 \to 4 \to 40 \to 36$ , $923, 076$ .

3. 写出循环小数

$10 / 52 = 0.1 (923076)$

$0.1 (923076)$

$1 (923, 076) = 0.1 (923076)$ .

$0.1 (923076)$

$1 (923, 076) = 0.1 (923076)$ .

$0.1 (923076)$

$1 (923, 076) = 0.1 (923076)$ .

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