Preparazione all'algebra Esempi

$74.5 \div 0.9$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$0$

$9$

$7$

$4$

$5$

Passaggio 2

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

$9$

$7$

$4$

$5$

Passaggio 3

Dividi $74$ per $9$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$8$
$9$	$7$	$4$	$5$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(8)$ per il divisore $9$ .

		$8$
$9$	$7$	$4$	$5$
	$7$	$2$

Passaggio 5

Sottrai $72$ da $74$ .

		$8$
$9$	$7$	$4$	$5$
	$7$	$2$
		$2$

Passaggio 6

Abbassa il numero successivo del dividendo.

		$8$
$9$	$7$	$4$	$5$
	$7$	$2$
		$2$	$5$

Passaggio 7

Dividi $25$ per $9$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$8$	$2$
$9$	$7$	$4$	$5$
	$7$	$2$
		$2$	$5$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(2)$ per il divisore $9$ .

		$8$	$2$
$9$	$7$	$4$	$5$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$

Passaggio 9

Sottrai $18$ da $25$ .

		$8$	$2$
$9$	$7$	$4$	$5$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$

Passaggio 10

Aggiungi $0$ alla fine del dividendo.

		$8$	$2$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$

Passaggio 11

Abbassa il numero successivo del dividendo.

		$8$	$2$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$

Passaggio 12

Dividi $70$ per $9$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$

Passaggio 13

Moltiplica la cifra quoziente appena ottenuta $(7)$ per il divisore $9$ .

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$

Passaggio 14

Sottrai $63$ da $70$ .

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

Passaggio 15

Aggiungi $0$ alla fine del dividendo.

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

Passaggio 16

Abbassa il numero successivo del dividendo.

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

Passaggio 17

Dividi $70$ per $9$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

Passaggio 18

Moltiplica la cifra quoziente appena ottenuta $(7)$ per il divisore $9$ .

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$

Passaggio 19

Sottrai $63$ da $70$ .

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

Passaggio 20

Aggiungi $0$ alla fine del dividendo.

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

Passaggio 21

Abbassa il numero successivo del dividendo.

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

Passaggio 22

Dividi $70$ per $9$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

Passaggio 23

Moltiplica la cifra quoziente appena ottenuta $(7)$ per il divisore $9$ .

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$
					$-$	$6$	$3$

Passaggio 24

Sottrai $63$ da $70$ .

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$
					$-$	$6$	$3$
							$7$

Passaggio 25

Il risultato della divisione di $74.5 \div 0.9$ è $82.777 \dots$ .

$82.777 \dots$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$

		$8$	$2$	.	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$

		$8$	$2$	.	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$

		$8$	$2$	.	$7$	$7$	$7$
$9$	$7$	$4$	$5$	.	$0$	$0$	$0$
	$7$	$2$
		$2$	$5$
	$-$	$1$	$8$
			$7$	$0$
			$-$	$6$	$3$
					$7$	$0$
				$-$	$6$	$3$
						$7$	$0$