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Solution - Solveur Tiger Algebra

Résultat final Étapes Termes et sujets

0, 0 (01869158878504672897196261682242990654205607476635514)

0,0(01869158878504672897196261682242990654205607476635514)

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Explication étape par étape

1. Mettre en place la division longue

$\frac{18}{9630}$

$\frac{18}{9630} = 18 \div 9630$ .

$\frac{18}{9630}$

$\frac{18}{9630} = 18 \div 9630$ .

$\frac{18}{9630}$

$\frac{18}{9630} = 18 \div 9630$ .

$18 \div 9630$

$\frac{18}{9630} = 18 \div 9630$ .

$18 \div 9630$

$\frac{18}{9630} = 18 \div 9630$ .

2. Identifier le cycle repetitif

$\frac{18}{9630}$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$\frac{18}{9630}$

$\frac{180}{9630} = d i g i t 0, r e m a \in d e r 180$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$180$

$\frac{1800}{9630} = d i g i t 0, r e m a \in d e r 1800$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$1800$

$\frac{18000}{9630} = d i g i t 1, r e m a \in d e r 8370$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$8370$

$\frac{83700}{9630} = d i g i t 8, r e m a \in d e r 6660$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$6660$

$\frac{66600}{9630} = d i g i t 6, r e m a \in d e r 8820$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$8820$

$\frac{88200}{9630} = d i g i t 9, r e m a \in d e r 1530$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$1530$

$\frac{15300}{9630} = d i g i t 1, r e m a \in d e r 5670$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$5670$

$\frac{56700}{9630} = d i g i t 5, r e m a \in d e r 8550$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$8550$

$\frac{85500}{9630} = d i g i t 8, r e m a \in d e r 8460$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$8460$

$\frac{84600}{9630} = d i g i t 8, r e m a \in d e r 7560$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$7560$

$\frac{75600}{9630} = d i g i t 7, r e m a \in d e r 8190$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$8190$

$\frac{81900}{9630} = d i g i t 8, r e m a \in d e r 4860$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$4860$

$\frac{48600}{9630} = d i g i t 5, r e m a \in d e r 450$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$450$

$\frac{4500}{9630} = d i g i t 0, r e m a \in d e r 4500$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$4500$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$14$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

$0, 0 (01869158878504672897196261682242990654205607476635514)$

$18 \to 180 \to 1800 \to 8370 \to 6660 \to 8820 \to 1530 \to 5670$ , $01869158878504672897196261682242990654205607476635514$ .

3. Ecrire le decimal periodique

$18 / 9630 = 0, 0 (01869158878504672897196261682242990654205607476635514)$

$0, 0 (01869158878504672897196261682242990654205607476635514)$

$0 (01869158878504672897196261682242990654205607476635514) = 0.0 (01869158878504672897196261682242990654205607476635514)$ .

$0, 0 (01869158878504672897196261682242990654205607476635514)$

$0 (01869158878504672897196261682242990654205607476635514) = 0.0 (01869158878504672897196261682242990654205607476635514)$ .

$0, 0 (01869158878504672897196261682242990654205607476635514)$

$0 (01869158878504672897196261682242990654205607476635514) = 0, 0 (01869158878504672897196261682242990654205607476635514)$ .

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Les décimales périodiques sont courantes en algèbre et en statistiques. Détecter les cycles aide à faire des calculs exacts et à vérifier les réponses.

Termes et sujets

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