Preparazione all'algebra Esempi

$\frac{3.3}{2.83}$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$2$

$8$

$3$

Passaggio 2

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

$2$

$8$

$3$

$0$

Passaggio 3

Dividi $330$ per $283$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$1$
$2$	$8$	$3$	$3$	$3$	$0$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $283$ .

					$1$
$2$	$8$	$3$	$3$	$3$	$0$
		$-$	$2$	$8$	$3$

Passaggio 5

Sottrai $283$ da $330$ .

					$1$
$2$	$8$	$3$	$3$	$3$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$

Passaggio 6

Aggiungi $0$ alla fine del dividendo.

					$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$

Passaggio 7

Abbassa il numero successivo del dividendo.

					$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$

Passaggio 8

Dividi $470$ per $283$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$

Passaggio 9

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $283$ .

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$

Passaggio 10

Sottrai $283$ da $470$ .

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

Passaggio 11

Aggiungi $0$ alla fine del dividendo.

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

Passaggio 12

Abbassa il numero successivo del dividendo.

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

Passaggio 13

Dividi $1870$ per $283$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

Passaggio 14

Moltiplica la cifra quoziente appena ottenuta $(6)$ per il divisore $283$ .

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$

Passaggio 15

Sottrai $1698$ da $1870$ .

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

Passaggio 16

Aggiungi $0$ alla fine del dividendo.

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

Passaggio 17

Abbassa il numero successivo del dividendo.

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

Passaggio 18

Dividi $1720$ per $283$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

Passaggio 19

Moltiplica la cifra quoziente appena ottenuta $(6)$ per il divisore $283$ .

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$
					$-$	$1$	$6$	$9$	$8$

Passaggio 20

Sottrai $1698$ da $1720$ .

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$
					$-$	$1$	$6$	$9$	$8$
								$2$	$2$

Passaggio 21

Il risultato della divisione di $\frac{3.3}{2.83}$ è $1.166 \dots$ .

$1.166 \dots$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$

					$1$	.	$1$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$

					$1$	.	$1$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$

					$1$	.	$1$	$6$	$6$
$2$	$8$	$3$	$3$	$3$	$0$	.	$0$	$0$	$0$
		$-$	$2$	$8$	$3$
				$4$	$7$	$0$
				$-$	$2$	$8$	$3$
					$1$	$8$	$7$	$0$
				$-$	$1$	$6$	$9$	$8$
						$1$	$7$	$2$	$0$