Algebra Examples

25 \cdot 12

$25 \cdot 12$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

2

$2$ by

5

$5$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(1)

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

12

$12$ .

	$1$ $1$
	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
		$0$ $0$

Step 1.2

Multiply

2

$2$ by

2

$2$ and add the carried

1

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

12

$12$ .


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$

Step 1.3

Multiply

1

$1$ by

5

$5$ . Place the result in the next column in the result line. There is one result line for each digit in

12

$12$ .


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
	$5$ $5$

Step 1.4

Multiply

1

$1$ by

2

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

12

$12$ .


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
$2$ $2$	$5$ $5$

Step 1.5

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
$2$ $2$	$5$ $5$
		$0$ $0$

Step 1.6

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

5 + 5

$5 + 5$ , then place the

0

$0$ in the result line and carry the

1

$1$ .


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
$2$ $2$	$5$ $5$
	$0$ $0$	$0$ $0$

Step 1.7

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

0 + 2 + 1

$0 + 2 + 1$ , then place the

3

$3$ in the result line.


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
$2$ $2$	$5$ $5$
$3$ $3$	$0$ $0$	$0$ $0$


	$2$ $2$	$5$ $5$
$⨯$ $⨯$	$1$ $1$	$2$ $2$
	$5$ $5$	$0$ $0$
$2$ $2$	$5$ $5$
$3$ $3$	$0$ $0$	$0$ $0$

Step 2

The result of

25 \cdot 12

$25 \cdot 12$ is

300

$300$ .

300

$300$