Basic Math Examples

0.25 \cdot 20

$0.25 \cdot 20$

Step 1

Multiply using long multiplication.

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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

20

$20$ .


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

Step 1.2

Multiply

0

$0$ by

2

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

20

$20$ .


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

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

20

$20$ .


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

Step 1.4

Multiply

2

$2$ by

5

$5$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(1)

$(1)$ . There is one result line for each digit in

20

$20$ .

		$1$ $1$
	$0$ $0$	. $2$ $2$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
		$0$ $0$

Step 1.5

Multiply

2

$2$ by

2

$2$ and add the carried

1

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

20

$20$ .

		$1$ $1$
	$0$ $0$	. $2$ $2$	$5$ $5$
$⨯$ $⨯$		$2$ $2$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
	$5$ $5$	$0$ $0$

Step 1.6

Multiply

2

$2$ by

0

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

20

$20$ .


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

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.


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

Step 1.8

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


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

Step 1.9

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

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


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


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

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.

5

$5$