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解答 - 老虎代数解答器

最终结果步骤术语和主题

0.0016 (025641)

0.0016(025641)

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逐步解答

1. 建立长除法

$\frac{1}{624}$

$\frac{1}{624} = 1 \div 624$ .

$\frac{1}{624}$

$\frac{1}{624} = 1 \div 624$ .

$\frac{1}{624}$

$\frac{1}{624} = 1 \div 624$ .

$1 \div 624$

$\frac{1}{624} = 1 \div 624$ .

$1 \div 624$

$\frac{1}{624} = 1 \div 624$ .

2. 识别循环周期

$\frac{1}{624}$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$\frac{1}{624}$

$\frac{10}{624} = d i g i t 0, r e m a \in d e r 10$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$10$

$\frac{100}{624} = d i g i t 0, r e m a \in d e r 100$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$100$

$\frac{1000}{624} = d i g i t 1, r e m a \in d e r 376$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$376$

$\frac{3760}{624} = d i g i t 6, r e m a \in d e r 16$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$16$

$\frac{160}{624} = d i g i t 0, r e m a \in d e r 160$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$160$

$\frac{1600}{624} = d i g i t 2, r e m a \in d e r 352$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$352$

$\frac{3520}{624} = d i g i t 5, r e m a \in d e r 400$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$400$

$\frac{4000}{624} = d i g i t 6, r e m a \in d e r 256$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$256$

$\frac{2560}{624} = d i g i t 4, r e m a \in d e r 64$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$64$

$\frac{640}{624} = d i g i t 1, r e m a \in d e r 16$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$16$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

$0.0016 (025641)$

$1 \to 10 \to 100 \to 376 \to 16 \to 160 \to 352 \to 400$ , $25, 641$ .

3. 写出循环小数

$1 / 624 = 0.0016 (025641)$

$0.0016 (025641)$

$0016 (25, 641) = 0.0016 (025641)$ .

$0.0016 (025641)$

$0016 (25, 641) = 0.0016 (025641)$ .

$0.0016 (025641)$

$0016 (25, 641) = 0.0016 (025641)$ .

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