Algebra Examples

14 \cdot 12

$14 \cdot 12$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

2

$2$ by

4

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

12

$12$ .


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
		$8$ $8$

Step 1.2

Multiply

2

$2$ by

1

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

12

$12$ .


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$

Step 1.3

Multiply

1

$1$ by

4

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

12

$12$ .


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
	$4$ $4$

Step 1.4

Multiply

1

$1$ by

1

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

12

$12$ .


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
$1$ $1$	$4$ $4$

Step 1.5

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

8 + 0

$8 + 0$ , then place the

8

$8$ in the result line.


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
$1$ $1$	$4$ $4$
		$8$ $8$

Step 1.6

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

2 + 4

$2 + 4$ , then place the

6

$6$ in the result line.


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
$1$ $1$	$4$ $4$
	$6$ $6$	$8$ $8$

Step 1.7

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
$1$ $1$	$4$ $4$
$1$ $1$	$6$ $6$	$8$ $8$


	$1$ $1$	$4$ $4$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$2$ $2$	$8$ $8$
$1$ $1$	$4$ $4$
$1$ $1$	$6$ $6$	$8$ $8$

Step 2

The result of

14 \cdot 12

$14 \cdot 12$ is

168

$168$ .

168

$168$