Trigonometry Examples

$81 \cdot 196$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $6$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
			$6$

Step 1.2

Multiply $6$ by $8$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$

Step 1.3

Multiply $9$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
		$9$

Step 1.4

Multiply $9$ by $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(7)$ . There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$

Step 1.5

Multiply $1$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$
	$1$

Step 1.6

Multiply $1$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $196$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$
$8$	$1$

Step 1.7

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


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$
$8$	$1$
			$6$

Step 1.8

Add the numbers in each column. In this case, add $8 + 9 + 0$ , then place the $7$ in the result line and carry the $1$ .


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$
$8$	$1$
		$7$	$6$

Step 1.9

Add the numbers in each column. In this case, add $4 + 2 + 1 + 1$ , then place the $8$ in the result line.


		$8$	$1$
$⨯$	$1$	$9$	$6$
	$4$	$8$	$6$
$7$	$2$	$9$
$8$	$1$
	$8$	$7$	$6$

Step 1.10

Add the numbers in each column. In this case, add $0 + 7 + 8$ , then place the $5$ in the result line and carry the $1$ .


			$8$	$1$
	$⨯$	$1$	$9$	$6$
		$4$	$8$	$6$
	$7$	$2$	$9$
	$8$	$1$
$1$	$5$	$8$	$7$	$6$


			$8$	$1$
	$⨯$	$1$	$9$	$6$
		$4$	$8$	$6$
	$7$	$2$	$9$
	$8$	$1$
$1$	$5$	$8$	$7$	$6$

Step 2

The result of $81 \cdot 196$ is $15876$ .

$15876$