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Konačni rezultat Koraci Pojmovi i teme

0, 000651041 (6)

0,000651041(6)

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Objašnjenje korak po korak

1. Postavi dugo deljenje

$\frac{5}{7680}$

$\frac{5}{7680} = 5 \div 7680$ .

$\frac{5}{7680}$

$\frac{5}{7680} = 5 \div 7680$ .

$\frac{5}{7680}$

$\frac{5}{7680} = 5 \div 7680$ .

$5 \div 7680$

$\frac{5}{7680} = 5 \div 7680$ .

$5 \div 7680$

$\frac{5}{7680} = 5 \div 7680$ .

2. Uoci ciklus ponavljanja

$\frac{5}{7680}$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$\frac{5}{7680}$

$\frac{50}{7680} = d i g i t 0, r e m a \in d e r 50$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$50$

$\frac{500}{7680} = d i g i t 0, r e m a \in d e r 500$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$500$

$\frac{5000}{7680} = d i g i t 0, r e m a \in d e r 5000$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$5000$

$\frac{50000}{7680} = d i g i t 6, r e m a \in d e r 3920$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$3920$

$\frac{39200}{7680} = d i g i t 5, r e m a \in d e r 800$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$800$

$\frac{8000}{7680} = d i g i t 1, r e m a \in d e r 320$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$320$

$\frac{3200}{7680} = d i g i t 0, r e m a \in d e r 3200$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$3200$

$\frac{32000}{7680} = d i g i t 4, r e m a \in d e r 1280$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$1280$

$\frac{12800}{7680} = d i g i t 1, r e m a \in d e r 5120$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$5120$

$\frac{51200}{7680} = d i g i t 6, r e m a \in d e r 5120$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$5120$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

$0, 000651041 (6)$

$5 \to 50 \to 500 \to 5000 \to 3920 \to 800 \to 320 \to 3200$ , $6$ .

3. Zapisi periodican decimalni broj

$5 / 7680 = 0, 000651041 (6)$

$0, 000651041 (6)$

$651.041 (6) = 0.000651041 (6)$ .

$0, 000651041 (6)$

$651.041 (6) = 0.000651041 (6)$ .

$0, 000651041 (6)$

$651, 041 (6) = 0, 000651041 (6)$ .

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Periodični decimalni brojevi su česti u algebri i statistici. Otkrivanje ciklusa pomaže u tačnom računanju i proveri odgovora.

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