Algebra Examples

$25 \cdot 15$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$5$ by

$5$ . Place the ones digit

$(5)$ in the result line and carry the tens digit

$(2)$ . There is one result line for each digit in

$15$ .

	$2$
	$2$	$5$
$⨯$	$1$	$5$
		$5$

Step 1.2

Multiply

$5$ by

$2$ and add the carried

$2$ . Place the ones digit

$(2)$ in the result line and carry the tens digit

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

$15$ .


	$2$	$5$
$⨯$	$1$	$5$
$1$	$2$	$5$

Step 1.3

Multiply

$1$ by

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

$15$ .


	$2$	$5$
$⨯$	$1$	$5$
$1$	$2$	$5$
	$5$

Step 1.4

Multiply

$1$ by

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

$15$ .


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

Step 1.5

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

$5 + 0$ , then place the

$5$ in the result line.


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

Step 1.6

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

$2 + 5$ , then place the

$7$ in the result line.


	$2$	$5$
$⨯$	$1$	$5$
$1$	$2$	$5$
$2$	$5$
	$7$	$5$

Step 1.7

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

$1 + 2$ , then place the

$3$ in the result line.


	$2$	$5$
$⨯$	$1$	$5$
$1$	$2$	$5$
$2$	$5$
$3$	$7$	$5$


	$2$	$5$
$⨯$	$1$	$5$
$1$	$2$	$5$
$2$	$5$
$3$	$7$	$5$

Step 2

The result of

$25 \cdot 15$ is

$375$ .

$375$

$25 \cdot 15$

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