Basic Math Examples

52 \cdot 13

$52 \cdot 13$

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

$13$ .


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
		$6$ $6$

Step 1.2

Multiply

3

$3$ by

5

$5$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(1)

$(1)$ . There is one result line for each digit in

13

$13$ .


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
$1$ $1$	$5$ $5$	$6$ $6$

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

$13$ .


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
$1$ $1$	$5$ $5$	$6$ $6$
	$2$ $2$

Step 1.4

Multiply

1

$1$ by

5

$5$ . Place the result in the next column in the result line. There is one result line for each digit in

13

$13$ .


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
$1$ $1$	$5$ $5$	$6$ $6$
$5$ $5$	$2$ $2$

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.


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
$1$ $1$	$5$ $5$	$6$ $6$
$5$ $5$	$2$ $2$
		$6$ $6$

Step 1.6

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

5 + 2

$5 + 2$ , then place the

7

$7$ in the result line.


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$ $1$	$3$ $3$
$1$ $1$	$5$ $5$	$6$ $6$
$5$ $5$	$2$ $2$
	$7$ $7$	$6$ $6$

Step 1.7

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

1 + 5

$1 + 5$ , then place the

6

$6$ in the result line.


	$5$ $5$	$2$ $2$
$\times$ $⨯$	$1$	$3$
$1$	$5$	$6$
$5$	$2$
$6$	$7$	$6$


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

Step 2

The result of

$52 \cdot 13$ is

$676$ .

$676$