Basic Math Examples

$872.22 \cdot 37.5$

Step 1

Multiply using long multiplication.

Tap for more steps...

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 $37.5$ .


	$8$	$7$	$2$	. $2$	$2$
$⨯$		$3$	$7$	. $5$	$0$
					$0$

Step 1.2

Multiply $0$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


	$8$	$7$	$2$	. $2$	$2$
$⨯$		$3$	$7$	. $5$	$0$
				$0$	$0$

Step 1.3

Multiply $0$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


	$8$	$7$	$2$	. $2$	$2$
$⨯$		$3$	$7$	. $5$	$0$
			$0$	$0$	$0$

Step 1.4

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


	$8$	$7$	$2$	. $2$	$2$
$⨯$		$3$	$7$	. $5$	$0$
		$0$	$0$	$0$	$0$

Step 1.5

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


	$8$	$7$	$2$	. $2$	$2$
$⨯$		$3$	$7$	. $5$	$0$
	$0$	$0$	$0$	$0$	$0$

Step 1.6

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 $37.5$ .

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

Step 1.7

Multiply $5$ by $2$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.8

Multiply $5$ by $2$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.9

Multiply $5$ by $7$ and add the carried $1$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.10

Multiply $5$ by $8$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $37.5$ .


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

Step 1.11

Multiply $7$ by $2$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $37.5$ .

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

Step 1.12

Multiply $7$ by $2$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.13

Multiply $7$ by $2$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.14

Multiply $7$ by $7$ and add the carried $1$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $37.5$ .

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

Step 1.15

Multiply $7$ by $8$ and add the carried $5$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $37.5$ .


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

Step 1.16

Multiply $3$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


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

Step 1.17

Multiply $3$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


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

Step 1.18

Multiply $3$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $37.5$ .


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

Step 1.19

Multiply $3$ by $7$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $37.5$ .

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

Step 1.20

Multiply $3$ by $8$ and add the carried $2$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $37.5$ .


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

Step 1.21

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


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

Step 1.22

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


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

Step 1.23

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


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

Step 1.24

Add the numbers in each column. In this case, add $0 + 1 + 5 + 6$ , then place the $2$ in the result line and carry the $1$ .


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

Step 1.25

Add the numbers in each column. In this case, add $0 + 6 + 5 + 6 + 1$ , then place the $8$ in the result line and carry the $1$ .


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

Step 1.26

Add the numbers in each column. In this case, add $0 + 3 + 0 + 6 + 1$ , then place the $0$ in the result line and carry the $1$ .


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

Step 1.27

Add the numbers in each column. In this case, add $0 + 4 + 1 + 1 + 1$ , then place the $7$ in the result line.


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

Step 1.28

Add the numbers in each column. In this case, add $0 + 0 + 6 + 6$ , then place the $2$ in the result line and carry the $1$ .


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

Step 1.29

Add the numbers in each column. In this case, add $0 + 0 + 0 + 2 + 1$ , then place the $3$ in the result line.


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


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

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 $4$ , so the answer must have $4$ decimal places as well.

$32708.25$