Pre-Algebra Examples

$25 \cdot 25$

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 $25$ .

	$2$
	$2$	$5$
$⨯$	$2$	$5$
		$5$

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 $25$ .


	$2$	$5$
$⨯$	$2$	$5$
$1$	$2$	$5$

Step 1.3

Multiply $2$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $25$ .

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

Step 1.4

Multiply $2$ by $2$ 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 $25$ .


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

Step 1.5

Add the numbers in each column. In this case, add $5 + 0$ , then place the $5$ in the result line.


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

Step 1.6

Add the numbers in each column. In this case, add $2 + 0$ , then place the $2$ in the result line.


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

Step 1.7

Add the numbers in each column. In this case, add $1 + 5$ , then place the $6$ in the result line.


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


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

Step 2

The result of $25 \cdot 25$ is $625$ .

$625$