Basic Math Examples

52 \cdot 52

$52 \cdot 52$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

2

$2$ by

2

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

52

$52$ .


	$5$ $5$	$2$ $2$
$⨯$ $⨯$	$5$ $5$	$2$ $2$
		$4$ $4$

Step 1.2

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

52

$52$ .


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

Step 1.3

Multiply

5

$5$ by

2

$2$ . 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

52

$52$ .

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

Step 1.4

Multiply

5

$5$ by

5

$5$ and add the carried

1

$1$ . Place the ones digit

(6)

$(6)$ in the result line and carry the tens digit

(2)

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

52

$52$ .


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

Step 1.5

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

4 + 0

$4 + 0$ , then place the

4

$4$ in the result line.


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

Step 1.6

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


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

Step 1.7

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

1 + 6

$1 + 6$ , then place the

7

$7$ in the result line.


		$5$ $5$	$2$ $2$
	$⨯$ $⨯$	$5$ $5$	$2$ $2$
	$1$ $1$	$0$ $0$	$4$ $4$
$2$ $2$	$6$ $6$	$0$ $0$
	$7$ $7$	$0$ $0$	$4$ $4$

Step 1.8

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

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


		$5$ $5$	$2$ $2$
	$⨯$ $⨯$	$5$ $5$	$2$ $2$
	$1$ $1$	$0$ $0$	$4$ $4$
$2$ $2$	$6$ $6$	$0$ $0$
$2$ $2$	$7$ $7$	$0$ $0$	$4$ $4$


		$5$ $5$	$2$ $2$
	$⨯$ $⨯$	$5$ $5$	$2$ $2$
	$1$ $1$	$0$ $0$	$4$ $4$
$2$ $2$	$6$ $6$	$0$ $0$
$2$ $2$	$7$ $7$	$0$ $0$	$4$ $4$

Step 2

The result of

52 \cdot 52

$52 \cdot 52$ is

2704

$2704$ .

2704

$2704$