Preparazione all'algebra Esempi

$5 \div 0.37$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$0$

$3$

$7$

$5$

Passaggio 2

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

$3$

$7$

$5$

$0$

Passaggio 3

Dividi $50$ per $37$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$
$3$	$7$	$5$	$0$	$0$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $37$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$

Passaggio 5

Sottrai $37$ da $50$ .

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$

Passaggio 6

Abbassa il numero successivo del dividendo.

			$1$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Passaggio 7

Dividi $130$ per $37$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $37$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$

Passaggio 9

Sottrai $111$ da $130$ .

			$1$	$3$
$3$	$7$	$5$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Passaggio 10

Aggiungi $0$ alla fine del dividendo.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

Passaggio 11

Abbassa il numero successivo del dividendo.

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Passaggio 12

Dividi $190$ per $37$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

Passaggio 13

Moltiplica la cifra quoziente appena ottenuta $(5)$ per il divisore $37$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

Passaggio 14

Sottrai $185$ da $190$ .

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Passaggio 15

Aggiungi $0$ alla fine del dividendo.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

Passaggio 16

Abbassa il numero successivo del dividendo.

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Passaggio 17

Dividi $50$ per $37$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

Passaggio 18

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $37$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

Passaggio 19

Sottrai $37$ da $50$ .

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Passaggio 20

Aggiungi $0$ alla fine del dividendo.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

Passaggio 21

Abbassa il numero successivo del dividendo.

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Passaggio 22

Dividi $130$ per $37$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$

Passaggio 23

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $37$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$

Passaggio 24

Sottrai $111$ da $130$ .

			$1$	$3$	.	$5$	$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$	$0$
					$-$	$1$	$1$	$1$
							$1$	$9$

Passaggio 25

Il risultato della divisione di $5 \div 0.37$ è $13.513 \dots$ .

$13.513 \dots$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$

			$1$	$3$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$

			$1$	$3$	.	$5$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$

			$1$	$3$	.	$5$	$1$
$3$	$7$	$5$	$0$	$0$	.	$0$	$0$
	$-$	$3$	$7$
		$1$	$3$	$0$
	$-$	$1$	$1$	$1$
			$1$	$9$	$0$
			$-$	$1$	$8$	$5$
						$5$	$0$
					$-$	$3$	$7$
						$1$	$3$