Chemistry Examples

$144 \cdot 15$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $5$ by $4$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $15$ .

		$2$
	$1$	$4$	$4$
$⨯$		$1$	$5$
			$0$

Step 1.2

Multiply $5$ by $4$ and add the carried $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $15$ .

	$2$	$2$
	$1$	$4$	$4$
$⨯$		$1$	$5$
		$2$	$0$

Step 1.3

Multiply $5$ 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 $15$ .


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$

Step 1.4

Multiply $1$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $15$ .


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
		$4$

Step 1.5

Multiply $1$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $15$ .


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
	$4$	$4$

Step 1.6

Multiply $1$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $15$ .


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$

Step 1.7

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


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$
			$0$

Step 1.8

Add the numbers in each column. In this case, add $2 + 4$ , then place the $6$ in the result line.


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$
		$6$	$0$

Step 1.9

Add the numbers in each column. In this case, add $7 + 4$ , then place the $1$ in the result line and carry the $1$ .


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$
	$1$	$6$	$0$

Step 1.10

Add the numbers in each column. In this case, add $0 + 1 + 1$ , then place the $2$ in the result line.


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$
$2$	$1$	$6$	$0$


	$1$	$4$	$4$
$⨯$		$1$	$5$
	$7$	$2$	$0$
$1$	$4$	$4$
$2$	$1$	$6$	$0$

Step 2

The result of $144 \cdot 15$ is $2160$ .

$2160$