Algebra Examples

$36 \cdot 3$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $3$ by $6$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3$ .

	$1$
	$3$	$6$
$⨯$		$3$
		$8$

Step 1.2

Multiply $3$ by $3$ and add the carried $1$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $3$ .


	$3$	$6$
$⨯$		$3$
$1$	$0$	$8$

Step 1.3

Add the numbers in each column. In this case, add $8$ , then place the $8$ in the result line.


	$3$	$6$
$⨯$		$3$
$1$	$0$	$8$
		$8$

Step 1.4

Add the numbers in each column. In this case, add $0$ , then place the $0$ in the result line.


	$3$	$6$
$⨯$		$3$
$1$	$0$	$8$
	$0$	$8$

Step 1.5

Add the numbers in each column. In this case, add $1$ , then place the $1$ in the result line.


	$3$	$6$
$⨯$		$3$
$1$	$0$	$8$
$1$	$0$	$8$


	$3$	$6$
$⨯$		$3$
$1$	$0$	$8$
$1$	$0$	$8$

Step 2

The result of $36 \cdot 3$ is $108$ .

$108$