Basic Math Examples

$0.35 \cdot 0.25$

Step 1

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 $0.25$ .

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

Step 2

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 $0.25$ .

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

Step 3

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 $0.25$ .


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

Step 4

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 $0.25$ .

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

Step 5

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 $0.25$ .

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

Step 6

Multiply $2$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.25$ .


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

Step 7

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $0.25$ .


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

Step 8

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.25$ .


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

Step 9

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.25$ .


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

Step 10

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


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

Step 11

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


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

Step 12

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


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

Step 13

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.

$0.0875$