Preparazione all'algebra Esempi

$42.1 \div 0.3$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$0$

$3$

$4$

$2$

$1$

Passaggio 2

Sposta il decimale dello stesso numero di posti in entrambi i numeri finché il divisore non è un numero intero.

$3$

$4$

$2$

$1$

Passaggio 3

Dividi $4$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$
$3$	$4$	$2$	$1$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $3$ .

	$1$
$3$	$4$	$2$	$1$
$-$	$3$

Passaggio 5

Sottrai $3$ da $4$ .

	$1$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$

Passaggio 6

Abbassa il numero successivo del dividendo.

	$1$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$

Passaggio 7

Dividi $12$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(4)$ per il divisore $3$ .

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$

Passaggio 9

Sottrai $12$ da $12$ .

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$

Passaggio 10

Abbassa il numero successivo del dividendo.

	$1$	$4$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$

Passaggio 11

Dividi $1$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$

Passaggio 12

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $3$ .

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$

Passaggio 13

Sottrai $0$ da $1$ .

	$1$	$4$	$0$
$3$	$4$	$2$	$1$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

Passaggio 14

Aggiungi $0$ alla fine del dividendo.

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

Passaggio 15

Abbassa il numero successivo del dividendo.

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

Passaggio 16

Dividi $10$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

Passaggio 17

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $3$ .

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

Passaggio 18

Sottrai $9$ da $10$ .

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

Passaggio 19

Aggiungi $0$ alla fine del dividendo.

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

Passaggio 20

Abbassa il numero successivo del dividendo.

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

Passaggio 21

Dividi $10$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

Passaggio 22

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $3$ .

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

Passaggio 23

Sottrai $9$ da $10$ .

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

Passaggio 24

Aggiungi $0$ alla fine del dividendo.

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

Passaggio 25

Abbassa il numero successivo del dividendo.

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$

Passaggio 26

Dividi $10$ per $3$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$

Passaggio 27

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $3$ .

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$
					$-$		$9$

Passaggio 28

Sottrai $9$ da $10$ .

	$1$	$4$	$0$	.	$3$	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$	$0$
					$-$		$9$
							$1$

Passaggio 29

Il risultato della divisione di $42.1 \div 0.3$ è $140.333 \dots$ .

$140.333 \dots$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$

	$1$	$4$	$0$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$

	$1$	$4$	$0$	.	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$

	$1$	$4$	$0$	.	$3$	$3$
$3$	$4$	$2$	$1$	.	$0$	$0$
$-$	$3$
	$1$	$2$
$-$	$1$	$2$
		$0$	$1$
	$-$		$0$
			$1$	$0$
			$-$		$9$
					$1$	$0$
				$-$		$9$
						$1$