Basic Math Examples

23 \cdot 22

$23 \cdot 22$

Step 1

Multiply using long multiplication.

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Step 1.1

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

22

$22$ .


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

Step 1.2

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

22

$22$ .


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

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

22

$22$ .


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

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

22

$22$ .


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

Step 1.5

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

6 + 0

$6 + 0$ , then place the

6

$6$ in the result line.


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

Step 1.6

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

4 + 6

$4 + 6$ , then place the

0

$0$ in the result line and carry the

1

$1$ .


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$2$ $2$
	$4$ $4$	$6$ $6$
$4$ $4$	$6$ $6$
	$0$ $0$	$6$ $6$

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.


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$2$ $2$
	$4$ $4$	$6$ $6$
$4$ $4$	$6$ $6$
$5$ $5$	$0$ $0$	$6$ $6$


	$2$ $2$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$2$ $2$
	$4$ $4$	$6$ $6$
$4$ $4$	$6$ $6$
$5$ $5$	$0$ $0$	$6$ $6$

Step 2

The result of

23 \cdot 22

$23 \cdot 22$ is

506

$506$ .

506

$506$