Precalculus Examples

$180 \cdot 3$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $3$ .


	$1$	$8$	$0$
$⨯$			$3$
			$0$

Step 1.2

Multiply $3$ by $8$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $3$ .

	$2$
	$1$	$8$	$0$
$⨯$			$3$
		$4$	$0$

Step 1.3

Multiply $3$ by $1$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $3$ .


	$1$	$8$	$0$
$⨯$			$3$
	$5$	$4$	$0$

Step 1.4

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


	$1$	$8$	$0$
$⨯$			$3$
	$5$	$4$	$0$
			$0$

Step 1.5

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


	$1$	$8$	$0$
$⨯$			$3$
	$5$	$4$	$0$
		$4$	$0$

Step 1.6

Add the numbers in each column. In this case, add $5$ , then place the $5$ in the result line.


	$1$	$8$	$0$
$⨯$			$3$
	$5$	$4$	$0$
	$5$	$4$	$0$


	$1$	$8$	$0$
$⨯$			$3$
	$5$	$4$	$0$
	$5$	$4$	$0$

Step 2

The result of $180 \cdot 3$ is $540$ .

$540$