Algebra Examples

25 \cdot 25

$25 \cdot 25$

Step 1

Multiply

5

$5$ by

5

$5$ . Place the ones digit

(5)

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

(2)

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

25

$25$ .

	$2$ $2$
	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
		$5$ $5$

Step 2

Multiply

5

$5$ by

2

$2$ and add the carried

2

$2$ . Place the ones digit

(2)

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

(1)

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

25

$25$ .


	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$

Step 3

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

25

$25$ .

	$1$ $1$
	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$
	$0$ $0$

Step 4

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

25

$25$ .


	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$
$5$ $5$	$0$ $0$

Step 5

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

5 + 0

$5 + 0$ , then place the

5

$5$ in the result line.


	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$
$5$ $5$	$0$ $0$
		$5$ $5$

Step 6

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

2 + 0

$2 + 0$ , then place the

2

$2$ in the result line.


	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$
$5$ $5$	$0$ $0$
	$2$ $2$	$5$ $5$

Step 7

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

1 + 5

$1 + 5$ , then place the

6

$6$ in the result line.


	$2$ $2$	$5$ $5$
$\times$ $⨯$	$2$ $2$	$5$ $5$
$1$ $1$	$2$ $2$	$5$ $5$
$5$ $5$	$0$ $0$
$6$ $6$	$2$ $2$	$5$ $5$

Step 8

The result of

25 \cdot 25

$25 \cdot 25$ is

625

$625$ .

625

$625$