Basic Math Examples

$0.246 \cdot 2162$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $2$ by $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2162$ .

			$1$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
				$2$

Step 1.2

Multiply $2$ by $4$ 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 $2162$ .

			$1$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
			$9$	$2$

Step 1.3

Multiply $2$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .

			$1$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
		$4$	$9$	$2$

Step 1.4

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$

Step 1.5

Multiply $6$ by $6$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $2162$ .

			$3$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
			$6$

Step 1.6

Multiply $6$ by $4$ and add the carried $3$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $2162$ .

		$2$	$3$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
		$7$	$6$

Step 1.7

Multiply $6$ by $2$ and add the carried $2$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $2162$ .

	$1$	$2$	$3$
	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
	$4$	$7$	$6$

Step 1.8

Multiply $6$ by $0$ 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 $2162$ .


	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
$1$	$4$	$7$	$6$

Step 1.9

Multiply $1$ by $6$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
$1$	$4$	$7$	$6$
		$6$

Step 1.10

Multiply $1$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
$1$	$4$	$7$	$6$
	$4$	$6$

Step 1.11

Multiply $1$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


	$0$	. $2$	$4$	$6$
$⨯$	$2$	$1$	$6$	$2$
	$0$	$4$	$9$	$2$
$1$	$4$	$7$	$6$
$2$	$4$	$6$

Step 1.12

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


		$0$	. $2$	$4$	$6$
	$⨯$	$2$	$1$	$6$	$2$
		$0$	$4$	$9$	$2$
	$1$	$4$	$7$	$6$
$0$	$2$	$4$	$6$

Step 1.13

Multiply $2$ by $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $2162$ .

				$1$
		$0$	. $2$	$4$	$6$
	$⨯$	$2$	$1$	$6$	$2$
		$0$	$4$	$9$	$2$
	$1$	$4$	$7$	$6$
$0$	$2$	$4$	$6$
		$2$

Step 1.14

Multiply $2$ by $4$ 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 $2162$ .

				$1$
		$0$	. $2$	$4$	$6$
	$⨯$	$2$	$1$	$6$	$2$
		$0$	$4$	$9$	$2$
	$1$	$4$	$7$	$6$
$0$	$2$	$4$	$6$
	$9$	$2$

Step 1.15

Multiply $2$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .

				$1$
		$0$	. $2$	$4$	$6$
	$⨯$	$2$	$1$	$6$	$2$
		$0$	$4$	$9$	$2$
	$1$	$4$	$7$	$6$
$0$	$2$	$4$	$6$
$4$	$9$	$2$

Step 1.16

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $2162$ .


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$

Step 1.17

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


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
						$2$

Step 1.18

Add the numbers in each column. In this case, add $9 + 6 + 0 + 0$ , then place the $5$ in the result line and carry the $1$ .


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
					$5$	$2$

Step 1.19

Add the numbers in each column. In this case, add $4 + 7 + 6 + 0 + 1$ , then place the $8$ in the result line and carry the $1$ .


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
				$8$	$5$	$2$

Step 1.20

Add the numbers in each column. In this case, add $0 + 4 + 4 + 2 + 1$ , then place the $1$ in the result line and carry the $1$ .


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
			$1$	$8$	$5$	$2$

Step 1.21

Add the numbers in each column. In this case, add $0 + 1 + 2 + 9 + 1$ , then place the $3$ in the result line and carry the $1$ .


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
		$3$	$1$	$8$	$5$	$2$

Step 1.22

Add the numbers in each column. In this case, add $0 + 0 + 0 + 4 + 1$ , then place the $5$ in the result line.


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
	$5$	$3$	$1$	$8$	$5$	$2$


			$0$	. $2$	$4$	$6$
		$⨯$	$2$	$1$	$6$	$2$
			$0$	$4$	$9$	$2$
		$1$	$4$	$7$	$6$
	$0$	$2$	$4$	$6$
$0$	$4$	$9$	$2$
	$5$	$3$	$1$	$8$	$5$	$2$

Step 2

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of $3$ , so the answer must have $3$ decimal places as well.

$531.852$