Pre-Algebra Examples

$327 \cdot 59$

Step 1

Multiply $9$ by $7$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in $59$ .

		$6$
	$3$	$2$	$7$
$⨯$		$5$	$9$
			$3$

Step 2

Multiply $9$ by $2$ and add the carried $6$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $59$ .

	$2$	$6$
	$3$	$2$	$7$
$⨯$		$5$	$9$
		$4$	$3$

Step 3

Multiply $9$ by $3$ and add the carried $2$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $59$ .


	$3$	$2$	$7$
$⨯$		$5$	$9$
$2$	$9$	$4$	$3$

Step 4

Multiply $5$ by $7$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $59$ .

		$3$
	$3$	$2$	$7$
$⨯$		$5$	$9$
$2$	$9$	$4$	$3$
		$5$

Step 5

Multiply $5$ by $2$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $59$ .

	$1$	$3$
	$3$	$2$	$7$
$⨯$		$5$	$9$
$2$	$9$	$4$	$3$
	$3$	$5$

Step 6

Multiply $5$ by $3$ and add the carried $1$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $59$ .


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$

Step 7

Add the numbers in each column. In this case, add $3 + 0$ , then place the $3$ in the result line.


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$
				$3$

Step 8

Add the numbers in each column. In this case, add $4 + 5$ , then place the $9$ in the result line.


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$
			$9$	$3$

Step 9

Add the numbers in each column. In this case, add $9 + 3$ , then place the $2$ in the result line and carry the $1$ .


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$
		$2$	$9$	$3$

Step 10

Add the numbers in each column. In this case, add $2 + 6 + 1$ , then place the $9$ in the result line.


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$
	$9$	$2$	$9$	$3$

Step 11

Add the numbers in each column. In this case, add $0 + 1$ , then place the $1$ in the result line.


		$3$	$2$	$7$
	$⨯$		$5$	$9$
	$2$	$9$	$4$	$3$
$1$	$6$	$3$	$5$
$1$	$9$	$2$	$9$	$3$

Step 12

The result of $327 \cdot 59$ is $19293$ .

$19293$