Chemistry Examples

$6969 \cdot 996$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $6$ by $9$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in $996$ .

			$5$
	$6$	$9$	$6$	$9$
$⨯$		$9$	$9$	$6$
				$4$

Step 1.2

Multiply $6$ by $6$ and add the carried $5$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $996$ .

		$4$	$5$
	$6$	$9$	$6$	$9$
$⨯$		$9$	$9$	$6$
			$1$	$4$

Step 1.3

Multiply $6$ by $9$ and add the carried $4$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $996$ .

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

Step 1.4

Multiply $6$ by $6$ and add the carried $5$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $996$ .


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

Step 1.5

Multiply $9$ by $9$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(8)$ . There is one result line for each digit in $996$ .

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

Step 1.6

Multiply $9$ by $6$ and add the carried $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $996$ .

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

Step 1.7

Multiply $9$ by $9$ and add the carried $6$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(8)$ . There is one result line for each digit in the $996$ .

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

Step 1.8

Multiply $9$ by $6$ and add the carried $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $996$ .


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

Step 1.9

Multiply $9$ by $9$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(8)$ . There is one result line for each digit in $996$ .

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

Step 1.10

Multiply $9$ by $6$ and add the carried $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $996$ .

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

Step 1.11

Multiply $9$ by $9$ and add the carried $6$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(8)$ . There is one result line for each digit in the $996$ .

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

Step 1.12

Multiply $9$ by $6$ and add the carried $8$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $996$ .


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

Step 1.13

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


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

Step 1.14

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


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

Step 1.15

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


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

Step 1.16

Add the numbers in each column. In this case, add $1 + 7 + 2 + 1$ , then place the $1$ in the result line and carry the $1$ .


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

Step 1.17

Add the numbers in each column. In this case, add $4 + 2 + 7 + 1$ , then place the $4$ in the result line and carry the $1$ .


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

Step 1.18

Add the numbers in each column. In this case, add $0 + 6 + 2 + 1$ , then place the $9$ in the result line.


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

Step 1.19

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


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


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

Step 2

The result of $6969 \cdot 996$ is $6941124$ .

$6941124$