Algebra Examples

13 \cdot 13

$13 \cdot 13$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

3

$3$ by

3

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

13

$13$ .


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
		$9$ $9$

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

$13$ .


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$

Step 1.3

Multiply

1

$1$ by

3

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

13

$13$ .


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
	$3$ $3$

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

$13$ .


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
$1$ $1$	$3$ $3$

Step 1.5

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

9 + 0

$9 + 0$ , then place the

9

$9$ in the result line.


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
$1$ $1$	$3$ $3$
		$9$ $9$

Step 1.6

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

3 + 3

$3 + 3$ , then place the

6

$6$ in the result line.


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
$1$ $1$	$3$ $3$
	$6$ $6$	$9$ $9$

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.


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
$1$ $1$	$3$ $3$
$1$ $1$	$6$ $6$	$9$ $9$


	$1$ $1$	$3$ $3$
$⨯$ $⨯$	$1$ $1$	$3$ $3$
	$3$ $3$	$9$ $9$
$1$ $1$	$3$ $3$
$1$ $1$	$6$ $6$	$9$ $9$

Step 2

The result of

13 \cdot 13

$13 \cdot 13$ is

169

$169$ .

169

$169$

13 \cdot 13

$13 \cdot 13$

(

)

[

]

√



≥

















≤















∩

∪







∞











