Basic Math Examples

$39 \cdot 52$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$2$ by

$9$ . Place the ones digit

$(8)$ in the result line and carry the tens digit

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

$52$ .

	$1$
	$3$	$9$
$⨯$	$5$	$2$
		$8$

Step 1.2

Multiply

$2$ by

$3$ and add the carried

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

$52$ .


	$3$	$9$
$⨯$	$5$	$2$
	$7$	$8$

Step 1.3

Multiply

$5$ by

$9$ . Place the ones digit

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

$(4)$ . There is one result line for each digit in

$52$ .

	$4$
	$3$	$9$
$⨯$	$5$	$2$
	$7$	$8$
	$5$

Step 1.4

Multiply

$5$ by

$3$ and add the carried

$4$ . Place the ones digit

$(9)$ in the result line and carry the tens digit

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

$52$ .


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$

Step 1.5

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

$8 + 0$ , then place the

$8$ in the result line.


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$
			$8$

Step 1.6

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

$7 + 5$ , then place the

$2$ in the result line and carry the

$1$ .


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$
		$2$	$8$

Step 1.7

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

$0 + 9 + 1$ , then place the

$0$ in the result line and carry the

$1$ .


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$
	$0$	$2$	$8$

Step 1.8

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

$0 + 1 + 1$ , then place the

$2$ in the result line.


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$
$2$	$0$	$2$	$8$


		$3$	$9$
	$⨯$	$5$	$2$
		$7$	$8$
$1$	$9$	$5$
$2$	$0$	$2$	$8$

Step 2

The result of

$39 \cdot 52$ is

$2028$ .

$2028$