Basic Math Examples

$41 \cdot 41$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$1$ by

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

$41$ .


	$4$	$1$
$⨯$	$4$	$1$
		$1$

Step 1.2

Multiply

$1$ by

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

$41$ .


	$4$	$1$
$⨯$	$4$	$1$
	$4$	$1$

Step 1.3

Multiply

$4$ by

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

$41$ .


	$4$	$1$
$⨯$	$4$	$1$
	$4$	$1$
	$4$

Step 1.4

Multiply

$4$ by

$4$ . Place the ones digit

$(6)$ in the result line and carry the tens digit

$(1)$ . There is one result line for each digit in

$41$ .


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$

Step 1.5

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

$1 + 0$ , then place the

$1$ in the result line.


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$
			$1$

Step 1.6

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

$4 + 4$ , then place the

$8$ in the result line.


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$
		$8$	$1$

Step 1.7

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

$0 + 6$ , then place the

$6$ in the result line.


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$
	$6$	$8$	$1$

Step 1.8

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

$0 + 1$ , then place the

$1$ in the result line.


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$
$1$	$6$	$8$	$1$


		$4$	$1$
	$⨯$	$4$	$1$
		$4$	$1$
$1$	$6$	$4$
$1$	$6$	$8$	$1$

Step 2

The result of

$41 \cdot 41$ is

$1681$ .

$1681$