Basic Math Examples

0.05 \cdot 50

$0.05 \cdot 50$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

0

$0$ by

5

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

50

$50$ .


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
			$0$ $0$

Step 1.2

Multiply

0

$0$ by

0

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

50

$50$ .


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$

Step 1.3

Multiply

0

$0$ by

0

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

50

$50$ .


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.4

Multiply

5

$5$ by

5

$5$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in

50

$50$ .

		$2$ $2$
	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
		$5$ $5$

Step 1.5

Multiply

5

$5$ by

0

$0$ and add the carried

2

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

50

$50$ .

		$2$ $2$
	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
	$2$ $2$	$5$ $5$

Step 1.6

Multiply

5

$5$ by

0

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

50

$50$ .


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$2$ $2$	$5$ $5$

Step 1.7

Add the numbers in each column. In this case, add

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$2$ $2$	$5$ $5$
			$0$ $0$

Step 1.8

Add the numbers in each column. In this case, add

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$2$ $2$	$5$ $5$
		$5$ $5$	$0$ $0$

Step 1.9

Add the numbers in each column. In this case, add

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$2$ $2$	$5$ $5$
	$2$ $2$	$5$ $5$	$0$ $0$


	$0$ $0$	. $0$ $0$	$5$ $5$
$\times$ $⨯$		$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$2$ $2$	$5$ $5$
	$2$ $2$	$5$ $5$	$0$ $0$

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

2

$2$ , so the answer must have

2

$2$ decimal places as well.

2.5

$2.5$