Basic Math Examples

$135 \cdot 4$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

$4$ by

$5$ . Place the ones digit

$(0)$ in the result line and carry the tens digit

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

$4$ .

		$2$
	$1$	$3$	$5$
$⨯$			$4$
			$0$

Step 1.2

Multiply

$4$ by

$3$ and add the carried

$2$ . Place the ones digit

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

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

$4$ .

	$1$	$2$
	$1$	$3$	$5$
$⨯$			$4$
		$4$	$0$

Step 1.3

Multiply

$4$ by

$1$ and add the carried

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

$4$ .


	$1$	$3$	$5$
$⨯$			$4$
	$5$	$4$	$0$

Step 1.4

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

$0$ , then place the

$0$ in the result line.


	$1$	$3$	$5$
$⨯$			$4$
	$5$	$4$	$0$
			$0$

Step 1.5

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

$4$ , then place the

$4$ in the result line.


	$1$	$3$	$5$
$⨯$			$4$
	$5$	$4$	$0$
		$4$	$0$

Step 1.6

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

$5$ , then place the

$5$ in the result line.


	$1$	$3$	$5$
$⨯$			$4$
	$5$	$4$	$0$
	$5$	$4$	$0$


	$1$	$3$	$5$
$⨯$			$4$
	$5$	$4$	$0$
	$5$	$4$	$0$

Step 2

The result of

$135 \cdot 4$ is

$540$ .

$540$