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解答 - 老虎代数解答器

最终结果步骤术语和主题

0.3 (0566037735849)

0.3(0566037735849)

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逐步解答

1. 建立长除法

$\frac{81}{265}$

$\frac{81}{265} = 81 \div 265$ .

$\frac{81}{265}$

$\frac{81}{265} = 81 \div 265$ .

$\frac{81}{265}$

$\frac{81}{265} = 81 \div 265$ .

$81 \div 265$

$\frac{81}{265} = 81 \div 265$ .

$81 \div 265$

$\frac{81}{265} = 81 \div 265$ .

2. 识别循环周期

$\frac{81}{265}$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$\frac{81}{265}$

$\frac{810}{265} = d i g i t 3, r e m a \in d e r 15$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$15$

$\frac{150}{265} = d i g i t 0, r e m a \in d e r 150$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$150$

$\frac{1500}{265} = d i g i t 5, r e m a \in d e r 175$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$175$

$\frac{1750}{265} = d i g i t 6, r e m a \in d e r 160$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$160$

$\frac{1600}{265} = d i g i t 6, r e m a \in d e r 10$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$10$

$\frac{100}{265} = d i g i t 0, r e m a \in d e r 100$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$100$

$\frac{1000}{265} = d i g i t 3, r e m a \in d e r 205$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$205$

$\frac{2050}{265} = d i g i t 7, r e m a \in d e r 195$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$195$

$\frac{1950}{265} = d i g i t 7, r e m a \in d e r 95$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$95$

$\frac{950}{265} = d i g i t 3, r e m a \in d e r 155$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$155$

$\frac{1550}{265} = d i g i t 5, r e m a \in d e r 225$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$225$

$\frac{2250}{265} = d i g i t 8, r e m a \in d e r 130$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$130$

$\frac{1300}{265} = d i g i t 4, r e m a \in d e r 240$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$240$

$\frac{2400}{265} = d i g i t 9, r e m a \in d e r 15$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$15$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

$0.3 (0566037735849)$

$81 \to 15 \to 150 \to 175 \to 160 \to 10 \to 100 \to 205$ , $566, 037, 735, 849$ .

3. 写出循环小数

$81 / 265 = 0.3 (0566037735849)$

$0.3 (0566037735849)$

$3 (566, 037, 735, 849) = 0.3 (0566037735849)$ .

$0.3 (0566037735849)$

$3 (566, 037, 735, 849) = 0.3 (0566037735849)$ .

$0.3 (0566037735849)$

$3 (566, 037, 735, 849) = 0.3 (0566037735849)$ .

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