Calculus Examples

$550000 \cdot 325$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
						$0$

Step 1.2

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
					$0$	$0$

Step 1.3

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
				$0$	$0$	$0$

Step 1.4

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
			$0$	$0$	$0$	$0$

Step 1.5

Multiply $5$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $325$ .

	$2$
	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
		$5$	$0$	$0$	$0$	$0$

Step 1.6

Multiply $5$ by $5$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
$2$	$7$	$5$	$0$	$0$	$0$	$0$

Step 1.7

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
$2$	$7$	$5$	$0$	$0$	$0$	$0$
					$0$

Step 1.8

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
$2$	$7$	$5$	$0$	$0$	$0$	$0$
				$0$	$0$

Step 1.9

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
$2$	$7$	$5$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 1.10

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


	$5$	$5$	$0$	$0$	$0$	$0$
$⨯$				$3$	$2$	$5$
$2$	$7$	$5$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 1.11

Multiply $2$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $325$ .

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

Step 1.12

Multiply $2$ by $5$ 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 $325$ .


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

Step 1.13

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


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

Step 1.14

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


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

Step 1.15

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


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

Step 1.16

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $325$ .


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

Step 1.17

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 $325$ .

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

Step 1.18

Multiply $3$ by $5$ and add the carried $1$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $325$ .


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

Step 1.19

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


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

Step 1.20

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


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

Step 1.21

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


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

Step 1.22

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


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

Step 1.23

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


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

Step 1.24

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


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

Step 1.25

Add the numbers in each column. In this case, add $2 + 1 + 5$ , then place the $8$ in the result line.


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

Step 1.26

Add the numbers in each column. In this case, add $0 + 1 + 6$ , then place the $7$ in the result line.


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

Step 1.27

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


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


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

Step 2

The result of $550000 \cdot 325$ is $178750000$ .

$178750000$