Trigonometry Examples

$165 \cdot 2$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $2$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2$ .

		$1$
	$1$	$6$	$5$
$⨯$			$2$
			$0$

Step 1.2

Multiply $2$ by $6$ and add the carried $1$ . 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 $2$ .

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

Step 1.3

Multiply $2$ 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 $2$ .


	$1$	$6$	$5$
$⨯$			$2$
	$3$	$3$	$0$

Step 1.4

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


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

Step 1.5

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


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

Step 1.6

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


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


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

Step 2

The result of $165 \cdot 2$ is $330$ .

$330$