Pre-Algebra Examples

$- 4 \cdot 36$

Step 1

Multiply using long multiplication.

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Step 1.1

Factor out a $- 1$ .

$- (4 \cdot 36)$

Step 1.2

Multiply $6$ by $4$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $36$ .


		$4$
$⨯$	$3$	$6$
	$2$	$4$

Step 1.3

Multiply $3$ by $4$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $36$ .


		$4$
$⨯$	$3$	$6$
	$2$	$4$
$1$	$2$

Step 1.4

Add the numbers in each column. In this case, add $4 + 0$ , then place the $4$ in the result line.


		$4$
$⨯$	$3$	$6$
	$2$	$4$
$1$	$2$
		$4$

Step 1.5

Add the numbers in each column. In this case, add $2 + 2$ , then place the $4$ in the result line.


		$4$
$⨯$	$3$	$6$
	$2$	$4$
$1$	$2$
	$4$	$4$

Step 1.6

Add the numbers in each column. In this case, add $0 + 1$ , then place the $1$ in the result line.


		$4$
$⨯$	$3$	$6$
	$2$	$4$
$1$	$2$
$1$	$4$	$4$


		$4$
$⨯$	$3$	$6$
	$2$	$4$
$1$	$2$
$1$	$4$	$4$

Step 2

The result of $4 \cdot 36$ is $144$ .

$144$

Step 3

Multiply $144$ by $- 1$ .

$- 144$