Algebra Examples

11 \cdot 13

$11 \cdot 13$

Step 1

Multiply using long multiplication.

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Step 1.1

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

$13$ .


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
		$3$ $3$

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

$13$ .


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$

Step 1.3

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

$13$ .


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
	$1$ $1$

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

$13$ .


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
$1$ $1$	$1$ $1$

Step 1.5

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

3 + 0

$3 + 0$ , then place the

3

$3$ in the result line.


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
$1$ $1$	$1$ $1$
		$3$ $3$

Step 1.6

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

3 + 1

$3 + 1$ , then place the

4

$4$ in the result line.


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
$1$ $1$	$1$ $1$
	$4$ $4$	$3$ $3$

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.


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
$1$ $1$	$1$ $1$
$1$ $1$	$4$ $4$	$3$ $3$


	$1$ $1$	$1$ $1$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$3$ $3$
$1$ $1$	$1$ $1$
$1$ $1$	$4$ $4$	$3$ $3$

Step 2

The result of

11 \cdot 13

$11 \cdot 13$ is

143

$143$ .

143

$143$

11 \cdot 13

$11 \cdot 13$

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