Basic Math Examples

$103 \times 103$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


	$1$	$0$	$3$
$⨯$	$1$	$0$	$3$
			$9$

Step 1.2

Multiply $3$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.3

Multiply $3$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.4

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.5

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.6

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.7

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.8

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.9

Multiply $1$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $103$ .


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

Step 1.10

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


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

Step 1.11

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


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

Step 1.12

Add the numbers in each column. In this case, add $3 + 0 + 3$ , then place the $6$ in the result line.


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

Step 1.13

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


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

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 $10609$ .

$10609$