Preparazione all'algebra Esempi

$\frac{412.7}{0.01}$

Passaggio 1

Moltiplica il numeratore e il denominatore per $10$ .

$\frac{4127}{0.1}$

Passaggio 2

Moltiplica il numeratore e il denominatore per $10$ .

$\frac{41270}{1}$

Passaggio 3

Imposta il problema della divisione nel formato in colonna.

$1$

$4$

$1$

$2$

$7$

$0$

Passaggio 4

Dividi $4$ per $1$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$4$
$1$	$4$	$1$	$2$	$7$	$0$

Passaggio 5

Moltiplica la cifra quoziente appena ottenuta $(4)$ per il divisore $1$ .

	$4$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$

Passaggio 6

Sottrai $4$ da $4$ .

	$4$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$

Passaggio 7

Abbassa il numero successivo del dividendo.

	$4$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$

Passaggio 8

Dividi $1$ per $1$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$4$	$1$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$

Passaggio 9

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $1$ .

	$4$	$1$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$

Passaggio 10

Sottrai $1$ da $1$ .

	$4$	$1$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$

Passaggio 11

Abbassa il numero successivo del dividendo.

	$4$	$1$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$

Passaggio 12

Dividi $2$ per $1$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$

Passaggio 13

Moltiplica la cifra quoziente appena ottenuta $(2)$ per il divisore $1$ .

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$

Passaggio 14

Sottrai $2$ da $2$ .

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$

Passaggio 15

Abbassa il numero successivo del dividendo.

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

Passaggio 16

Dividi $7$ per $1$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

Passaggio 17

Moltiplica la cifra quoziente appena ottenuta $(7)$ per il divisore $1$ .

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$

Passaggio 18

Sottrai $7$ da $7$ .

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$

Passaggio 19

Abbassa il numero successivo del dividendo.

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

Passaggio 20

Dividi $0$ per $1$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

Passaggio 21

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $1$ .

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$

Passaggio 22

Sottrai $0$ da $0$ .

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$
					$0$

Passaggio 23

Il risultato della divisione di $\frac{41270}{1}$ è $41270$ .

$41270$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$
					$0$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$
					$0$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$

	$4$	$1$	$2$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$

	$4$	$1$	$2$	$7$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$

	$4$	$1$	$2$	$7$	$0$
$1$	$4$	$1$	$2$	$7$	$0$
$-$	$4$
	$0$	$1$
$-$		$1$
		$0$	$2$
	$-$		$2$
			$0$	$7$
		$-$		$7$
				$0$	$0$
			$-$		$0$
					$0$