Preparazione all'algebra Esempi

$57.13 \div 1.62$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$1$

$6$

$2$

$5$

$7$

$1$

$3$

Passaggio 2

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

$1$

$6$

$2$

$5$

$7$

$1$

$3$

Passaggio 3

Dividi $571$ per $162$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$3$
$1$	$6$	$2$	$5$	$7$	$1$	$3$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(3)$ per il divisore $162$ .

					$3$
$1$	$6$	$2$	$5$	$7$	$1$	$3$
		$-$	$4$	$8$	$6$

Passaggio 5

Sottrai $486$ da $571$ .

					$3$
$1$	$6$	$2$	$5$	$7$	$1$	$3$
		$-$	$4$	$8$	$6$
				$8$	$5$

Passaggio 6

Abbassa il numero successivo del dividendo.

					$3$
$1$	$6$	$2$	$5$	$7$	$1$	$3$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$

Passaggio 7

Dividi $853$ per $162$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

					$3$	$5$
$1$	$6$	$2$	$5$	$7$	$1$	$3$
		$-$	$4$	$8$	$6$
				$8$	$5$	$3$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(5)$ per il divisore $162$ .

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

Passaggio 9

Sottrai $810$ da $853$ .

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

Passaggio 10

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 11

Abbassa il numero successivo del dividendo.

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

Passaggio 12

Dividi $430$ per $162$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 13

Moltiplica la cifra quoziente appena ottenuta $(2)$ per il divisore $162$ .

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

Passaggio 14

Sottrai $324$ da $430$ .

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

Passaggio 15

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 16

Abbassa il numero successivo del dividendo.

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

Passaggio 17

Dividi $1060$ per $162$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 18

Moltiplica la cifra quoziente appena ottenuta $(6)$ per il divisore $162$ .

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

Passaggio 19

Sottrai $972$ da $1060$ .

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

Passaggio 20

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 21

Abbassa il numero successivo del dividendo.

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

Passaggio 22

Dividi $880$ per $162$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 23

Moltiplica la cifra quoziente appena ottenuta $(5)$ per il divisore $162$ .

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

Passaggio 24

Sottrai $810$ da $880$ .

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

Passaggio 25

Il risultato della divisione di $57.13 \div 1.62$ è $35.265 \dots$ .

$35.265 \dots$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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