Algebra Examples

$12 \cdot 6$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $6$ by $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $6$ .

	$1$
	$1$	$2$
$⨯$		$6$
		$2$

Step 1.2

Multiply $6$ by $1$ 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 $6$ .


	$1$	$2$
$⨯$		$6$
	$7$	$2$

Step 1.3

Add the numbers in each column. In this case, add $2$ , then place the $2$ in the result line.


	$1$	$2$
$⨯$		$6$
	$7$	$2$
		$2$

Step 1.4

Add the numbers in each column. In this case, add $7$ , then place the $7$ in the result line.


	$1$	$2$
$⨯$		$6$
	$7$	$2$
	$7$	$2$


	$1$	$2$
$⨯$		$6$
	$7$	$2$
	$7$	$2$

Step 2

The result of $12 \cdot 6$ is $72$ .

$72$