Algebra Examples

$15 \cdot 3$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $3$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3$ .

	$1$
	$1$	$5$
$⨯$		$3$
		$5$

Step 1.2

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


	$1$	$5$
$⨯$		$3$
	$4$	$5$

Step 1.3

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


	$1$	$5$
$⨯$		$3$
	$4$	$5$
		$5$

Step 1.4

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


	$1$	$5$
$⨯$		$3$
	$4$	$5$
	$4$	$5$


	$1$	$5$
$⨯$		$3$
	$4$	$5$
	$4$	$5$

Step 2

The result of $15 \cdot 3$ is $45$ .

$45$