Preparazione all'algebra Esempi

$68.39 \div 0.6$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$0$

$6$

$8$

$3$

$9$

Passaggio 2

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

$6$

$8$

$3$

$9$

Passaggio 3

Dividi $6$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$
$6$	$6$	$8$	$3$	.	$9$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $6$ .

	$1$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$

Passaggio 5

Sottrai $6$ da $6$ .

	$1$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$

Passaggio 6

Abbassa il numero successivo del dividendo.

	$1$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$

Passaggio 7

Dividi $8$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$1$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $6$ .

	$1$	$1$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$

Passaggio 9

Sottrai $6$ da $8$ .

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

Passaggio 10

Abbassa il numero successivo del dividendo.

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

Passaggio 11

Dividi $23$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 12

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $6$ .

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

Passaggio 13

Sottrai $18$ da $23$ .

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$

Passaggio 14

Abbassa il numero successivo del dividendo.

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

Passaggio 15

Dividi $59$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

Passaggio 16

Moltiplica la cifra quoziente appena ottenuta $(9)$ per il divisore $6$ .

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$

Passaggio 17

Sottrai $54$ da $59$ .

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

Passaggio 18

Aggiungi $0$ alla fine del dividendo.

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

Passaggio 19

Abbassa il numero successivo del dividendo.

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

Passaggio 20

Dividi $50$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

Passaggio 21

Moltiplica la cifra quoziente appena ottenuta $(8)$ per il divisore $6$ .

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$

Passaggio 22

Sottrai $48$ da $50$ .

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$

Passaggio 23

Aggiungi $0$ alla fine del dividendo.

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$

Passaggio 24

Abbassa il numero successivo del dividendo.

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$	$0$

Passaggio 25

Dividi $20$ per $6$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

	$1$	$1$	$3$	.	$9$	$8$	$3$
$6$	$6$	$8$	$3$	.	$9$	$0$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$	$0$

Passaggio 26

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $6$ .

	$1$	$1$	$3$	.	$9$	$8$	$3$
$6$	$6$	$8$	$3$	.	$9$	$0$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$	$0$
					$-$	$1$	$8$

Passaggio 27

Sottrai $18$ da $20$ .

	$1$	$1$	$3$	.	$9$	$8$	$3$
$6$	$6$	$8$	$3$	.	$9$	$0$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$	$0$
					$-$	$1$	$8$
							$2$

Passaggio 28

Il risultato della divisione di $68.39 \div 0.6$ è $113.983 \dots$ .

$113.983 \dots$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$

	$1$	$1$	$3$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$

	$1$	$1$	$3$	.	$9$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$

	$1$	$1$	$3$	.	$9$	$8$
$6$	$6$	$8$	$3$	.	$9$	$0$
$-$	$6$
	$0$	$8$
$-$		$6$
		$2$	$3$
	$-$	$1$	$8$
			$5$	$9$
			$-$	$5$	$4$
					$5$	$0$
				$-$	$4$	$8$
						$2$