Preparazione all'algebra Esempi

$40 \div 0.3$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$0$

$3$

$0$

$4$

$0$

Passaggio 2

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

$3$

$0$

$4$

$0$

Passaggio 3

Dividi $40$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$
$3$	$0$	$4$	$0$	$0$	$0$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $30$ .

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

Passaggio 5

Sottrai $30$ da $40$ .

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

Passaggio 6

Abbassa il numero successivo del dividendo.

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

Passaggio 7

Dividi $100$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $30$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$

Passaggio 9

Sottrai $90$ da $100$ .

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$

Passaggio 10

Abbassa il numero successivo del dividendo.

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Passaggio 11

Dividi $100$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

Passaggio 12

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $30$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

Passaggio 13

Sottrai $90$ da $100$ .

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

Passaggio 14

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 15

Abbassa il numero successivo del dividendo.

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

Passaggio 16

Dividi $100$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 17

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $30$ .

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

Passaggio 18

Sottrai $90$ da $100$ .

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

Passaggio 19

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 20

Abbassa il numero successivo del dividendo.

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

Passaggio 21

Dividi $100$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 22

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $30$ .

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

Passaggio 23

Sottrai $90$ da $100$ .

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

Passaggio 24

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 25

Abbassa il numero successivo del dividendo.

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

Passaggio 26

Dividi $100$ per $30$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 27

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $30$ .

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

Passaggio 28

Sottrai $90$ da $100$ .

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

Passaggio 29

Il risultato della divisione di $40 \div 0.3$ è $133.333 \dots$ .

$133.333 \dots$

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

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

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

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

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

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

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

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

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

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

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

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

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

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

			$1$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$

			$1$	$3$	$3$
$3$	$0$	$4$	$0$	$0$	$0$
	$-$	$3$	$0$
		$1$	$0$	$0$
	$-$		$9$	$0$
			$1$	$0$	$0$
		$-$		$9$	$0$
				$1$	$0$

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

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

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

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

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

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