Pre-Algebra Examples

$35 \cdot 4$

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 $4$ .

	$2$
	$3$	$5$
$⨯$		$4$
		$0$

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 $4$ .


	$3$	$5$
$⨯$		$4$
$1$	$4$	$0$

Step 1.3

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


	$3$	$5$
$⨯$		$4$
$1$	$4$	$0$
		$0$

Step 1.4

Add the numbers in each column. In this case, add $4$ , then place the $4$ in the result line.


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

Step 1.5

Add the numbers in each column. In this case, add $1$ , then place the $1$ in the result line.


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


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

Step 2

The result of $35 \cdot 4$ is $140$ .

$140$