Chemistry Examples

$0.00362 \cdot 2500$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $0$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
						$0$

Step 1.2

Multiply $0$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
					$0$	$0$

Step 1.3

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
				$0$	$0$	$0$

Step 1.4

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$

Step 1.5

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$

Step 1.6

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$

Step 1.7

Multiply $0$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
					$0$

Step 1.8

Multiply $0$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$

Step 1.9

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 1.10

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 1.11

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$

Step 1.12

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$

Step 1.13

Multiply $5$ by $2$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2500$ .

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

Step 1.14

Multiply $5$ by $6$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $2500$ .

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

Step 1.15

Multiply $5$ by $3$ and add the carried $3$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $2500$ .

			$1$	$3$	$1$
	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$
		$8$	$1$	$0$

Step 1.16

Multiply $5$ by $0$ 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 $2500$ .

			$1$	$3$	$1$
	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$
	$1$	$8$	$1$	$0$

Step 1.17

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .

			$1$	$3$	$1$
	$0$	. $0$	$0$	$3$	$6$	$2$
$⨯$			$2$	$5$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$
$0$	$1$	$8$	$1$	$0$

Step 1.18

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$

Step 1.19

Multiply $2$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$
				$4$

Step 1.20

Multiply $2$ by $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2500$ .

					$1$
		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$
			$2$	$4$

Step 1.21

Multiply $2$ by $3$ 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 $2500$ .

					$1$
		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$
		$7$	$2$	$4$

Step 1.22

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .

					$1$
		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$
	$0$	$7$	$2$	$4$

Step 1.23

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .

					$1$
		$0$	. $0$	$0$	$3$	$6$	$2$
	$⨯$			$2$	$5$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$7$	$2$	$4$

Step 1.24

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2500$ .


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$

Step 1.25

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


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
								$0$

Step 1.26

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


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
							$0$	$0$

Step 1.27

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


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
						$0$	$0$	$0$

Step 1.28

Add the numbers in each column. In this case, add $0 + 0 + 1 + 4$ , then place the $5$ in the result line.


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
					$5$	$0$	$0$	$0$

Step 1.29

Add the numbers in each column. In this case, add $0 + 0 + 8 + 2$ , then place the $0$ in the result line and carry the $1$ .


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
				$0$	$5$	$0$	$0$	$0$

Step 1.30

Add the numbers in each column. In this case, add $0 + 0 + 1 + 7 + 1$ , then place the $9$ in the result line.


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
			$9$	$0$	$5$	$0$	$0$	$0$


			$0$	. $0$	$0$	$3$	$6$	$2$
		$⨯$			$2$	$5$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$1$	$8$	$1$	$0$
$0$	$0$	$0$	$7$	$2$	$4$
			$9$	$0$	$5$	$0$	$0$	$0$

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 $5$ , so the answer must have $5$ decimal places as well.

$9.05$