Basic Math Examples

491 \cdot 765

$491 \cdot 765$

Step 1

Multiply

5

$5$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

765

$765$ .


	$4$ $4$	$9$ $9$	$1$ $1$
$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
			$5$ $5$

Step 2

Multiply

5

$5$ by

9

$9$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(4)

$(4)$ . There is one result line for each digit in

765

$765$ .

	$4$ $4$
	$4$ $4$	$9$ $9$	$1$ $1$
$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
		$5$ $5$	$5$ $5$

Step 3

Multiply

5

$5$ by

4

$4$ and add the carried

4

$4$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in the

765

$765$ .


	$4$ $4$	$9$ $9$	$1$ $1$
$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
$2$ $2$	$4$ $4$	$5$ $5$	$5$ $5$

Step 4

Multiply

6

$6$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

765

$765$ .


	$4$ $4$	$9$ $9$	$1$ $1$
$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
$2$ $2$	$4$ $4$	$5$ $5$	$5$ $5$
		$6$ $6$

Step 5

Multiply

6

$6$ by

9

$9$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(5)

$(5)$ . There is one result line for each digit in

765

$765$ .

	$5$ $5$
	$4$ $4$	$9$ $9$	$1$ $1$
$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
$2$ $2$	$4$ $4$	$5$ $5$	$5$ $5$
	$4$ $4$	$6$ $6$

Step 6

Multiply

6

$6$ by

4

$4$ and add the carried

5

$5$ . Place the ones digit

(9)

$(9)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in the

765

$765$ .


		$4$ $4$	$9$ $9$	$1$ $1$
	$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
	$2$ $2$	$4$ $4$	$5$ $5$	$5$ $5$
$2$ $2$	$9$ $9$	$4$ $4$	$6$ $6$

Step 7

Multiply

7

$7$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

765

$765$ .


		$4$ $4$	$9$ $9$	$1$ $1$
	$⨯$ $⨯$	$7$ $7$	$6$ $6$	$5$ $5$
	$2$ $2$	$4$ $4$	$5$ $5$	$5$ $5$
$2$ $2$	$9$ $9$	$4$ $4$	$6$ $6$
		$7$ $7$

Step 8

Multiply

7

$7$ by

9

$9$ . Place the ones digit

(3)

$(3)$ in the result line and carry the tens digit

(6)

$(6)$ . There is one result line for each digit in

765

$765$ .

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

Step 9

Multiply

7

$7$ by

4

$4$ and add the carried

6

$6$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(3)

$(3)$ . There is one result line for each digit in the

765

$765$ .


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

Step 10

Add the numbers in each column. In this case, add

5 + 0 + 0

$5 + 0 + 0$ , then place the

5

$5$ in the result line.


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

Step 11

Add the numbers in each column. In this case, add

5 + 6 + 0

$5 + 6 + 0$ , then place the

1

$1$ in the result line and carry the

1

$1$ .


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

Step 12

Add the numbers in each column. In this case, add

4 + 4 + 7 + 1

$4 + 4 + 7 + 1$ , then place the

6

$6$ in the result line and carry the

1

$1$ .


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

Step 13

Add the numbers in each column. In this case, add

2 + 9 + 3 + 1

$2 + 9 + 3 + 1$ , then place the

5

$5$ in the result line and carry the

1

$1$ .


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

Step 14

Add the numbers in each column. In this case, add

0 + 2 + 4 + 1

$0 + 2 + 4 + 1$ , then place the

7

$7$ in the result line.


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

Step 15

Add the numbers in each column. In this case, add

0 + 0 + 3

$0 + 0 + 3$ , then place the

3

$3$ in the result line.


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

Step 16

The result of

491 \cdot 765

$491 \cdot 765$ is

375615

$375615$ .

375615

$375615$