Algebra Examples

$12 \cdot 25$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$5$ by

$2$ . Place the ones digit

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

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

$25$ .

	$1$
	$1$	$2$
$⨯$	$2$	$5$
		$0$

Step 1.2

Multiply

$5$ 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

$25$ .


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$

Step 1.3

Multiply

$2$ by

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

$25$ .


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
	$4$

Step 1.4

Multiply

$2$ by

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

$25$ .


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
$2$	$4$

Step 1.5

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

$0 + 0$ , then place the

$0$ in the result line.


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
$2$	$4$
		$0$

Step 1.6

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

$6 + 4$ , then place the

$0$ in the result line and carry the

$1$ .


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
$2$	$4$
	$0$	$0$

Step 1.7

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

$0 + 2 + 1$ , then place the

$3$ in the result line.


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
$2$	$4$
$3$	$0$	$0$


	$1$	$2$
$⨯$	$2$	$5$
	$6$	$0$
$2$	$4$
$3$	$0$	$0$

Step 2

The result of

$12 \cdot 25$ is

$300$ .

$300$

$12 \cdot 25$

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