Basic Math Examples

$333 \cdot 123$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
			$9$

Step 1.2

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
		$9$	$9$

Step 1.3

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$

Step 1.4

Multiply $2$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$
		$6$

Step 1.5

Multiply $2$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$
	$6$	$6$

Step 1.6

Multiply $2$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$
$6$	$6$	$6$

Step 1.7

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$
$6$	$6$	$6$
	$3$

Step 1.8

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


	$3$	$3$	$3$
$⨯$	$1$	$2$	$3$
	$9$	$9$	$9$
$6$	$6$	$6$
$3$	$3$

Step 1.9

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $123$ .


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$

Step 1.10

Add the numbers in each column. In this case, add $9 + 0 + 0$ , then place the $9$ in the result line.


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
				$9$

Step 1.11

Add the numbers in each column. In this case, add $9 + 6 + 0$ , then place the $5$ in the result line and carry the $1$ .


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
			$5$	$9$

Step 1.12

Add the numbers in each column. In this case, add $9 + 6 + 3 + 1$ , then place the $9$ in the result line and carry the $1$ .


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
		$9$	$5$	$9$

Step 1.13

Add the numbers in each column. In this case, add $0 + 6 + 3 + 1$ , then place the $0$ in the result line and carry the $1$ .


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
	$0$	$9$	$5$	$9$

Step 1.14

Add the numbers in each column. In this case, add $0 + 0 + 3 + 1$ , then place the $4$ in the result line.


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
$4$	$0$	$9$	$5$	$9$


		$3$	$3$	$3$
	$⨯$	$1$	$2$	$3$
		$9$	$9$	$9$
	$6$	$6$	$6$
$3$	$3$	$3$
$4$	$0$	$9$	$5$	$9$

Step 2

The result of $333 \cdot 123$ is $40959$ .

$40959$