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最终结果步骤术语和主题

0.88 (809523)

0.88(809523)

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逐步解答

1. 建立长除法

$\frac{373}{420}$

$\frac{373}{420} = 373 \div 420$ .

$\frac{373}{420}$

$\frac{373}{420} = 373 \div 420$ .

$\frac{373}{420}$

$\frac{373}{420} = 373 \div 420$ .

$373 \div 420$

$\frac{373}{420} = 373 \div 420$ .

$373 \div 420$

$\frac{373}{420} = 373 \div 420$ .

2. 识别循环周期

$\frac{373}{420}$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$\frac{373}{420}$

$\frac{3730}{420} = d i g i t 8, r e m a \in d e r 370$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$370$

$\frac{3700}{420} = d i g i t 8, r e m a \in d e r 340$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$340$

$\frac{3400}{420} = d i g i t 8, r e m a \in d e r 40$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$40$

$\frac{400}{420} = d i g i t 0, r e m a \in d e r 400$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$400$

$\frac{4000}{420} = d i g i t 9, r e m a \in d e r 220$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$220$

$\frac{2200}{420} = d i g i t 5, r e m a \in d e r 100$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$100$

$\frac{1000}{420} = d i g i t 2, r e m a \in d e r 160$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$160$

$\frac{1600}{420} = d i g i t 3, r e m a \in d e r 340$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$340$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

$0.88 (809523)$

$373 \to 370 \to 340 \to 40 \to 400 \to 220 \to 100 \to 160$ , $809, 523$ .

3. 写出循环小数

$373 / 420 = 0.88 (809523)$

$0.88 (809523)$

$88 (809, 523) = 0.88 (809523)$ .

$0.88 (809523)$

$88 (809, 523) = 0.88 (809523)$ .

$0.88 (809523)$

$88 (809, 523) = 0.88 (809523)$ .

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