Basic Math Examples

23 \cdot 23

$23 \cdot 23$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

3

$3$ by

3

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

23

$23$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
		$9$ $9$

Step 1.2

Multiply

3

$3$ by

2

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

23

$23$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$

Step 1.3

Multiply

2

$2$ by

3

$3$ . Place the result in the next column in the result line. There is one result line for each digit in

23

$23$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
	$6$ $6$

Step 1.4

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

23

$23$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
$4$ $4$	$6$ $6$

Step 1.5

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

9 + 0

$9 + 0$ , then place the

9

$9$ in the result line.


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
$4$ $4$	$6$ $6$
		$9$ $9$

Step 1.6

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

6 + 6

$6 + 6$ , then place the

2

$2$ in the result line and carry the

1

$1$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
$4$ $4$	$6$ $6$
	$2$ $2$	$9$ $9$

Step 1.7

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

0 + 4 + 1

$0 + 4 + 1$ , then place the

5

$5$ in the result line.


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
$4$ $4$	$6$ $6$
$5$ $5$	$2$ $2$	$9$ $9$


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$3$ $3$
	$6$ $6$	$9$ $9$
$4$ $4$	$6$ $6$
$5$ $5$	$2$ $2$	$9$ $9$

Step 2

The result of

23 \cdot 23

$23 \cdot 23$ is

529

$529$ .

529

$529$