Basic Math Examples

$7805 \cdot 396$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $6$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $396$ .

			$3$
	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
				$0$

Step 1.2

Multiply $6$ by $0$ and add the carried $3$ . Place the result in the next column in the result line. There is one result line for each digit in $396$ .

			$3$
	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
			$3$	$0$

Step 1.3

Multiply $6$ by $8$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $396$ .

	$4$		$3$
	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
		$8$	$3$	$0$

Step 1.4

Multiply $6$ by $7$ and add the carried $4$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $396$ .


	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
$4$	$6$	$8$	$3$	$0$

Step 1.5

Multiply $9$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $396$ .

			$4$
	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
$4$	$6$	$8$	$3$	$0$
			$5$

Step 1.6

Multiply $9$ by $0$ and add the carried $4$ . Place the result in the next column in the result line. There is one result line for each digit in $396$ .

			$4$
	$7$	$8$	$0$	$5$
$⨯$		$3$	$9$	$6$
$4$	$6$	$8$	$3$	$0$
		$4$	$5$

Step 1.7

Multiply $9$ by $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(7)$ . There is one result line for each digit in $396$ .

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

Step 1.8

Multiply $9$ by $7$ and add the carried $7$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(7)$ . There is one result line for each digit in the $396$ .


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

Step 1.9

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 $396$ .

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

Step 1.10

Multiply $3$ 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 $396$ .

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

Step 1.11

Multiply $3$ by $8$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $396$ .

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

Step 1.12

Multiply $3$ by $7$ and add the carried $2$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $396$ .


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

Step 1.13

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


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

Step 1.14

Add the numbers in each column. In this case, add $3 + 5 + 0$ , then place the $8$ in the result line.


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

Step 1.15

Add the numbers in each column. In this case, add $8 + 4 + 5$ , then place the $7$ in the result line and carry the $1$ .


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

Step 1.16

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


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

Step 1.17

Add the numbers in each column. In this case, add $4 + 0 + 4 + 1$ , then place the $9$ in the result line.


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

Step 1.18

Add the numbers in each column. In this case, add $0 + 7 + 3$ , then place the $0$ in the result line and carry the $1$ .


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

Step 1.19

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


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


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

Step 2

The result of $7805 \cdot 396$ is $3090780$ .

$3090780$