Basic Math Examples

$0.35 \cdot 0.258$

Step 1

Multiply $8$ by $5$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $0.258$ .

			$4$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
				$0$

Step 2

Multiply $8$ by $3$ and add the carried $4$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $0.258$ .

		$2$	$4$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
			$8$	$0$

Step 3

Multiply $8$ by $0$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $0.258$ .


		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$

Step 4

Multiply $5$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $0.258$ .

			$2$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
			$5$

Step 5

Multiply $5$ by $3$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $0.258$ .

		$1$	$2$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
		$7$	$5$

Step 6

Multiply $5$ 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 $0.258$ .


		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$

Step 7

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 $0.258$ .

			$1$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$
		$0$

Step 8

Multiply $2$ by $3$ 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 $0.258$ .

			$1$
		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$
	$7$	$0$

Step 9

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.258$ .


		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$
$0$	$7$	$0$

Step 10

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $0.258$ .


		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$
$0$	$7$	$0$
	$0$

Step 11

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.258$ .


		$0$	. $3$	$5$
$⨯$	$0$	. $2$	$5$	$8$
		$2$	$8$	$0$
	$1$	$7$	$5$
$0$	$7$	$0$
$0$	$0$

Step 12

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.258$ .


			$0$	. $3$	$5$
	$⨯$	$0$	. $2$	$5$	$8$
			$2$	$8$	$0$
		$1$	$7$	$5$
	$0$	$7$	$0$
$0$	$0$	$0$

Step 13

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


			$0$	. $3$	$5$
	$⨯$	$0$	. $2$	$5$	$8$
			$2$	$8$	$0$
		$1$	$7$	$5$
	$0$	$7$	$0$
$0$	$0$	$0$
					$0$

Step 14

Add the numbers in each column. In this case, add $8 + 5 + 0 + 0$ , then place the $3$ in the result line and carry the $1$ .


			$0$	. $3$	$5$
	$⨯$	$0$	. $2$	$5$	$8$
			$2$	$8$	$0$
		$1$	$7$	$5$
	$0$	$7$	$0$
$0$	$0$	$0$
				$3$	$0$

Step 15

Add the numbers in each column. In this case, add $2 + 7 + 0 + 0 + 1$ , then place the $0$ in the result line and carry the $1$ .


			$0$	. $3$	$5$
	$⨯$	$0$	. $2$	$5$	$8$
			$2$	$8$	$0$
		$1$	$7$	$5$
	$0$	$7$	$0$
$0$	$0$	$0$
			$0$	$3$	$0$

Step 16

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


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

Step 17

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 $5$ , so the answer must have $5$ decimal places as well.

$0.0903$