Basic Math Examples

103 \times 103

$103 \times 103$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

3

$3$ by

3

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
			$9$ $9$

Step 1.2

Multiply

3

$3$ by

0

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$0$ $0$	$9$ $9$

Step 1.3

Multiply

3

$3$ by

1

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$

Step 1.4

Multiply

0

$0$ by

3

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$
		$0$ $0$

Step 1.5

Multiply

0

$0$ by

0

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$

Step 1.6

Multiply

0

$0$ by

1

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$
$0$ $0$	$0$ $0$	$0$ $0$

Step 1.7

Multiply

1

$1$ by

3

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$
$0$ $0$	$0$ $0$	$0$ $0$
	$3$ $3$

Step 1.8

Multiply

1

$1$ by

0

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

103

$103$ .


	$1$ $1$	$0$ $0$	$3$ $3$
$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
	$3$ $3$	$0$ $0$	$9$ $9$
$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$3$ $3$

Step 1.9

Multiply

1

$1$ by

1

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

103

$103$ .


		$1$ $1$	$0$ $0$	$3$ $3$
	$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$	$3$ $3$

Step 1.10

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

9 + 0 + 0

$9 + 0 + 0$ , then place the

9

$9$ in the result line.


		$1$ $1$	$0$ $0$	$3$ $3$
	$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$	$3$ $3$
				$9$ $9$

Step 1.11

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

0 + 0 + 0

$0 + 0 + 0$ , then place the

0

$0$ in the result line.


		$1$ $1$	$0$ $0$	$3$ $3$
	$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$	$3$ $3$
			$0$ $0$	$9$ $9$

Step 1.12

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

3 + 0 + 3

$3 + 0 + 3$ , then place the

6

$6$ in the result line.


		$1$ $1$	$0$ $0$	$3$ $3$
	$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$	$3$ $3$
		$6$ $6$	$0$ $0$	$9$ $9$

Step 1.13

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

0 + 0 + 0

$0 + 0 + 0$ , then place the

0

$0$ in the result line.


		$1$ $1$	$0$ $0$	$3$ $3$
	$\times$ $⨯$	$1$ $1$	$0$ $0$	$3$ $3$
		$3$ $3$	$0$ $0$	$9$ $9$
	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$	$3$
	$0$	$6$	$0$	$9$

Step 1.14

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

$0 + 0 + 1$ , then place the

$1$ in the result line.


		$1$	$0$	$3$
	$⨯$	$1$	$0$	$3$
		$3$	$0$	$9$
	$0$	$0$	$0$
$1$	$0$	$3$
$1$	$0$	$6$	$0$	$9$


		$1$	$0$	$3$
	$⨯$	$1$	$0$	$3$
		$3$	$0$	$9$
	$0$	$0$	$0$
$1$	$0$	$3$
$1$	$0$	$6$	$0$	$9$

Step 2

The result of

$103 \cdot 103$ is

$10609$ .

$10609$