Pre-Algebra Examples

$234 \cdot 32$

Step 1

Multiply $2$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $32$ .


	$2$	$3$	$4$
$⨯$		$3$	$2$
			$8$

Step 2

Multiply $2$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $32$ .


	$2$	$3$	$4$
$⨯$		$3$	$2$
		$6$	$8$

Step 3

Multiply $2$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $32$ .


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$

Step 4

Multiply $3$ by $4$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $32$ .

		$1$
	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
		$2$

Step 5

Multiply $3$ by $3$ and add the carried $1$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $32$ .

	$1$	$1$
	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
	$0$	$2$

Step 6

Multiply $3$ by $2$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $32$ .


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
$7$	$0$	$2$

Step 7

Add the numbers in each column. In this case, add $8 + 0$ , then place the $8$ in the result line.


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
$7$	$0$	$2$
			$8$

Step 8

Add the numbers in each column. In this case, add $6 + 2$ , then place the $8$ in the result line.


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
$7$	$0$	$2$
		$8$	$8$

Step 9

Add the numbers in each column. In this case, add $4 + 0$ , then place the $4$ in the result line.


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
$7$	$0$	$2$
	$4$	$8$	$8$

Step 10

Add the numbers in each column. In this case, add $0 + 7$ , then place the $7$ in the result line.


	$2$	$3$	$4$
$⨯$		$3$	$2$
	$4$	$6$	$8$
$7$	$0$	$2$
$7$	$4$	$8$	$8$

Step 11

The result of $234 \cdot 32$ is $7488$ .

$7488$