Basic Math Examples

$12 \cdot 365$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $5$ by $2$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $365$ .

		$1$
		$1$	$2$
$⨯$	$3$	$6$	$5$
			$0$

Step 1.2

Multiply $5$ by $1$ 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 $365$ .


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$

Step 1.3

Multiply $6$ by $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $365$ .

		$1$
		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
		$2$

Step 1.4

Multiply $6$ by $1$ 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 $365$ .


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$

Step 1.5

Multiply $3$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $365$ .


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$
	$6$

Step 1.6

Multiply $3$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $365$ .


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$
$3$	$6$

Step 1.7

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


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$
$3$	$6$
			$0$

Step 1.8

Add the numbers in each column. In this case, add $6 + 2 + 0$ , then place the $8$ in the result line.


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$
$3$	$6$
		$8$	$0$

Step 1.9

Add the numbers in each column. In this case, add $0 + 7 + 6$ , then place the $3$ in the result line and carry the $1$ .


		$1$	$2$
$⨯$	$3$	$6$	$5$
		$6$	$0$
	$7$	$2$
$3$	$6$
	$3$	$8$	$0$

Step 1.10

Add the numbers in each column. In this case, add $0 + 0 + 3 + 1$ , then place the $4$ in the result line.


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


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

Step 2

The result of $12 \cdot 365$ is $4380$ .

$4380$