Preparazione all'algebra Esempi

$1275.5 \div 7.5$

Passaggio 1

Imposta il problema della divisione nel formato in colonna.

$7$

$5$

$1$

$2$

$7$

$5$

Passaggio 2

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

$7$

$5$

$1$

$2$

$7$

$5$

Passaggio 3

Dividi $127$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

				$1$
$7$	$5$	$1$	$2$	$7$	$5$	$5$

Passaggio 4

Moltiplica la cifra quoziente appena ottenuta $(1)$ per il divisore $75$ .

				$1$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$

Passaggio 5

Sottrai $75$ da $127$ .

				$1$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$

Passaggio 6

Abbassa il numero successivo del dividendo.

				$1$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$

Passaggio 7

Dividi $525$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$

Passaggio 8

Moltiplica la cifra quoziente appena ottenuta $(7)$ per il divisore $75$ .

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$

Passaggio 9

Sottrai $525$ da $525$ .

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$

Passaggio 10

Abbassa il numero successivo del dividendo.

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

Passaggio 11

Dividi $5$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

Passaggio 12

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $75$ .

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$

Passaggio 13

Sottrai $0$ da $5$ .

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

Passaggio 14

Aggiungi $0$ alla fine del dividendo.

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

Passaggio 15

Abbassa il numero successivo del dividendo.

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

Passaggio 16

Dividi $50$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

Passaggio 17

Moltiplica la cifra quoziente appena ottenuta $(0)$ per il divisore $75$ .

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$

Passaggio 18

Sottrai $0$ da $50$ .

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$

Passaggio 19

Aggiungi $0$ alla fine del dividendo.

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$

Passaggio 20

Abbassa il numero successivo del dividendo.

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$	$0$

Passaggio 21

Dividi $500$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

				$1$	$7$	$0$	.	$0$	$6$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$	$0$

Passaggio 22

Moltiplica la cifra quoziente appena ottenuta $(6)$ per il divisore $75$ .

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

Passaggio 23

Sottrai $450$ da $500$ .

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

Passaggio 24

Aggiungi $0$ alla fine del dividendo.

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

Passaggio 25

Abbassa il numero successivo del dividendo.

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

Passaggio 26

Dividi $500$ per $75$ . Posiziona questa cifra nel quoziente sopra il simbolo di divisione.

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

Passaggio 27

Moltiplica la cifra quoziente appena ottenuta $(6)$ per il divisore $75$ .

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

Passaggio 28

Sottrai $450$ da $500$ .

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

Passaggio 29

Il risultato della divisione di $1275.5 \div 7.5$ è $170.066 \dots$ .

$170.066 \dots$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$

				$1$	$7$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$

				$1$	$7$	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$

				$1$	$7$	$0$	.	$0$
$7$	$5$	$1$	$2$	$7$	$5$	$5$	.	$0$
		$-$	$7$	$5$
			$5$	$2$	$5$
		$-$	$5$	$2$	$5$
					$0$	$5$
				$-$		$0$
						$5$	$0$
						$-$		$0$
							$5$	$0$