Basic Math Examples

$895 \cdot 365$

Step 1

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 $365$ .

		$2$
	$8$	$9$	$5$
$⨯$	$3$	$6$	$5$
			$5$

Step 2

Multiply $5$ by $9$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $365$ .

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

Step 3

Multiply $5$ by $8$ and add the carried $4$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $365$ .


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

Step 4

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 $365$ .

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

Step 5

Multiply $6$ by $9$ and add the carried $3$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $365$ .

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

Step 6

Multiply $6$ by $8$ and add the carried $5$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $365$ .


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

Step 7

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 $365$ .

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

Step 8

Multiply $3$ by $9$ and add the carried $1$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $365$ .

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

Step 9

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 $365$ .


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

Step 10

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


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

Step 11

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


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

Step 12

Add the numbers in each column. In this case, add $4 + 7 + 5$ , then place the $6$ in the result line and carry the $1$ .


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

Step 13

Add the numbers in each column. In this case, add $4 + 3 + 8 + 1$ , then place the $6$ in the result line and carry the $1$ .


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

Step 14

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


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

Step 15

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


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

Step 16

The result of $895 \cdot 365$ is $326675$ .

$326675$

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