Chemistry Examples

$12.011 \cdot 3$

Step 1

Multiply using long multiplication.

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Step 1.1

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
					$3$

Step 1.2

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
				$3$	$3$

Step 1.3

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
			$0$	$3$	$3$

Step 1.4

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
		$6$	$0$	$3$	$3$

Step 1.5

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$

Step 1.6

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
					$3$

Step 1.7

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
				$3$	$3$

Step 1.8

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
			$0$	$3$	$3$

Step 1.9

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
		$6$	$0$	$3$	$3$

Step 1.10

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


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
	$3$	$6$	$0$	$3$	$3$


	$1$	$2$	. $0$	$1$	$1$
$⨯$					$3$
	$3$	$6$	$0$	$3$	$3$
	$3$	$6$	$0$	$3$	$3$

Step 2

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of $3$ , so the answer must have $3$ decimal places as well.

$36.033$