Basic Math Examples

$13 \cdot 17$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$7$ by

$3$ . Place the ones digit

$(1)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in

$17$ .

	$2$
	$1$	$3$
$⨯$	$1$	$7$
		$1$

Step 1.2

Multiply

$7$ by

$1$ and add the carried

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

$17$ .


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$

Step 1.3

Multiply

$1$ by

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

$17$ .


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
	$3$

Step 1.4

Multiply

$1$ by

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

$17$ .


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
$1$	$3$

Step 1.5

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

$1 + 0$ , then place the

$1$ in the result line.


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
$1$	$3$
		$1$

Step 1.6

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

$9 + 3$ , then place the

$2$ in the result line and carry the

$1$ .


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
$1$	$3$
	$2$	$1$

Step 1.7

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

$0 + 1 + 1$ , then place the

$2$ in the result line.


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
$1$	$3$
$2$	$2$	$1$


	$1$	$3$
$⨯$	$1$	$7$
	$9$	$1$
$1$	$3$
$2$	$2$	$1$

Step 2

The result of

$13 \cdot 17$ is

$221$ .

$221$