Basic Math Examples

12 \cdot 13

$12 \cdot 13$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

3

$3$ by

2

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

13

$13$ .


	$1$ $1$	$2$ $2$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
		$6$ $6$

Step 1.2

Multiply

3

$3$ by

1

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

13

$13$ .


	$1$ $1$	$2$ $2$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$6$ $6$

Step 1.3

Multiply

1

$1$ by

2

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

13

$13$ .


	$1$ $1$	$2$ $2$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$6$ $6$
	$2$ $2$

Step 1.4

Multiply

1

$1$ by

1

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

13

$13$ .


	$1$ $1$	$2$ $2$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$6$ $6$
$1$ $1$	$2$ $2$

Step 1.5

Add the numbers in each column. In this case, add

6 + 0

$6 + 0$ , then place the

6

$6$ in the result line.


	$1$ $1$	$2$ $2$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$6$ $6$
$1$ $1$	$2$ $2$
		$6$ $6$

Step 1.6

Add the numbers in each column. In this case, add

3 + 2

$3 + 2$ , then place the

5

$5$ in the result line.


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

Step 1.7

Add the numbers in each column. In this case, add

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


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


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

Step 2

The result of

12 \cdot 13

$12 \cdot 13$ is

156

$156$ .

156

$156$

12 \cdot 13

$12 \cdot 13$

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