Basic Math Examples

$- 265 \cdot 455$

Step 1

Multiply using long multiplication.

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Step 1.1

Factor out a $- 1$ .

$- (265 \cdot 455)$

Step 1.2

Multiply $5$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $455$ .

		$2$
	$2$	$6$	$5$
$⨯$	$4$	$5$	$5$
			$5$

Step 1.3

Multiply $5$ by $6$ and add the carried $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $455$ .

	$3$	$2$
	$2$	$6$	$5$
$⨯$	$4$	$5$	$5$
		$2$	$5$

Step 1.4

Multiply $5$ by $2$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $455$ .


	$2$	$6$	$5$
$⨯$	$4$	$5$	$5$
$1$	$3$	$2$	$5$

Step 1.5

Multiply $5$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $455$ .

		$2$
	$2$	$6$	$5$
$⨯$	$4$	$5$	$5$
$1$	$3$	$2$	$5$
		$5$

Step 1.6

Multiply $5$ by $6$ and add the carried $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $455$ .

	$3$	$2$
	$2$	$6$	$5$
$⨯$	$4$	$5$	$5$
$1$	$3$	$2$	$5$
	$2$	$5$

Step 1.7

Multiply $5$ by $2$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $455$ .


		$2$	$6$	$5$
	$⨯$	$4$	$5$	$5$
	$1$	$3$	$2$	$5$
$1$	$3$	$2$	$5$

Step 1.8

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 $455$ .

			$2$
		$2$	$6$	$5$
	$⨯$	$4$	$5$	$5$
	$1$	$3$	$2$	$5$
$1$	$3$	$2$	$5$
		$0$

Step 1.9

Multiply $4$ by $6$ and add the carried $2$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $455$ .

		$2$	$2$
		$2$	$6$	$5$
	$⨯$	$4$	$5$	$5$
	$1$	$3$	$2$	$5$
$1$	$3$	$2$	$5$
	$6$	$0$

Step 1.10

Multiply $4$ by $2$ and add the carried $2$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $455$ .


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$

Step 1.11

Add the numbers in each column. In this case, add $5 + 0 + 0$ , then place the $5$ in the result line.


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
					$5$

Step 1.12

Add the numbers in each column. In this case, add $2 + 5 + 0$ , then place the $7$ in the result line.


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
				$7$	$5$

Step 1.13

Add the numbers in each column. In this case, add $3 + 2 + 0$ , then place the $5$ in the result line.


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
			$5$	$7$	$5$

Step 1.14

Add the numbers in each column. In this case, add $1 + 3 + 6$ , then place the $0$ in the result line and carry the $1$ .


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
		$0$	$5$	$7$	$5$

Step 1.15

Add the numbers in each column. In this case, add $0 + 1 + 0 + 1$ , then place the $2$ in the result line.


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
	$2$	$0$	$5$	$7$	$5$

Step 1.16

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


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
$1$	$2$	$0$	$5$	$7$	$5$


			$2$	$6$	$5$
		$⨯$	$4$	$5$	$5$
		$1$	$3$	$2$	$5$
	$1$	$3$	$2$	$5$
$1$	$0$	$6$	$0$
$1$	$2$	$0$	$5$	$7$	$5$

Step 2

The result of $265 \cdot 455$ is $120575$ .

$120575$

Step 3

Multiply $120575$ by $- 1$ .

$- 120575$