Basic Math Examples

$0.2 \cdot 29.99$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $9$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
				$0$

Step 1.2

Multiply $9$ by $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $29.99$ .

		$1$
		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
			$8$	$0$

Step 1.3

Multiply $9$ 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 $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$

Step 1.4

Multiply $9$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
			$0$

Step 1.5

Multiply $9$ by $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $29.99$ .

		$1$
		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
		$8$	$0$

Step 1.6

Multiply $9$ 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 $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$

Step 1.7

Multiply $9$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$
		$0$

Step 1.8

Multiply $9$ by $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $29.99$ .

		$1$
		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$
	$8$	$0$

Step 1.9

Multiply $9$ 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 $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$
$1$	$8$	$0$

Step 1.10

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$
$1$	$8$	$0$
	$0$

Step 1.11

Multiply $2$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


		$0$	. $2$	$0$
$⨯$	$2$	$9$	. $9$	$9$
		$1$	$8$	$0$
	$1$	$8$	$0$
$1$	$8$	$0$
$4$	$0$

Step 1.12

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $29.99$ .


			$0$	. $2$	$0$
	$⨯$	$2$	$9$	. $9$	$9$
			$1$	$8$	$0$
		$1$	$8$	$0$
	$1$	$8$	$0$
$0$	$4$	$0$

Step 1.13

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


			$0$	. $2$	$0$
	$⨯$	$2$	$9$	. $9$	$9$
			$1$	$8$	$0$
		$1$	$8$	$0$
	$1$	$8$	$0$
$0$	$4$	$0$
					$0$

Step 1.14

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


			$0$	. $2$	$0$
	$⨯$	$2$	$9$	. $9$	$9$
			$1$	$8$	$0$
		$1$	$8$	$0$
	$1$	$8$	$0$
$0$	$4$	$0$
				$8$	$0$

Step 1.15

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


			$0$	. $2$	$0$
	$⨯$	$2$	$9$	. $9$	$9$
			$1$	$8$	$0$
		$1$	$8$	$0$
	$1$	$8$	$0$
$0$	$4$	$0$
			$9$	$8$	$0$

Step 1.16

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


			$0$	. $2$	$0$
	$⨯$	$2$	$9$	. $9$	$9$
			$1$	$8$	$0$
		$1$	$8$	$0$
	$1$	$8$	$0$
$0$	$4$	$0$
		$9$	$9$	$8$	$0$

Step 1.17

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


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


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

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 $4$ , so the answer must have $4$ decimal places as well.

$5.998$