Pre-Algebra Examples

$9750 \cdot 2000$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
				$0$

Step 1.2

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
			$0$	$0$

Step 1.3

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
		$0$	$0$	$0$

Step 1.4

Multiply $0$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$

Step 1.5

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
			$0$

Step 1.6

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
		$0$	$0$

Step 1.7

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
	$0$	$0$	$0$

Step 1.8

Multiply $0$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$

Step 1.9

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
		$0$

Step 1.10

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
	$0$	$0$

Step 1.11

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


	$9$	$7$	$5$	$0$
$⨯$	$2$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
$0$	$0$	$0$

Step 1.12

Multiply $0$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


		$9$	$7$	$5$	$0$
	$⨯$	$2$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$

Step 1.13

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2000$ .


		$9$	$7$	$5$	$0$
	$⨯$	$2$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
		$0$

Step 1.14

Multiply $2$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2000$ .

			$1$
		$9$	$7$	$5$	$0$
	$⨯$	$2$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
	$0$	$0$

Step 1.15

Multiply $2$ by $7$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $2000$ .

		$1$	$1$
		$9$	$7$	$5$	$0$
	$⨯$	$2$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$
$5$	$0$	$0$

Step 1.16

Multiply $2$ by $9$ and add the carried $1$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $2000$ .


				$9$	$7$	$5$	$0$
			$⨯$	$2$	$0$	$0$	$0$
				$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
$1$	$9$	$5$	$0$	$0$

Step 1.17