Basic Math Examples

0.13 \cdot 250

$0.13 \cdot 250$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

0

$0$ by

3

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

250

$250$ .


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

Step 1.2

Multiply

0

$0$ by

1

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

250

$250$ .


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

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

250

$250$ .


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

Step 1.4

Multiply

5

$5$ by

3

$3$ . Place the ones digit

(5)

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

(1)

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

250

$250$ .

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

Step 1.5

Multiply

5

$5$ by

1

$1$ 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

250

$250$ .

		$1$ $1$
	$0$ $0$	. $1$ $1$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
	$6$ $6$	$5$ $5$

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

250

$250$ .


	$0$ $0$	. $1$ $1$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$6$ $6$	$5$ $5$

Step 1.7

Multiply

2

$2$ by

3

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

250

$250$ .


	$0$ $0$	. $1$ $1$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$6$ $6$	$5$ $5$
	$6$ $6$

Step 1.8

Multiply

2

$2$ by

1

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

250

$250$ .


	$0$ $0$	. $1$ $1$	$3$ $3$
$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$6$ $6$	$5$ $5$
$2$ $2$	$6$ $6$

Step 1.9

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

250

$250$ .


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$

Step 1.10

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

0 + 0 + 0

$0 + 0 + 0$ , then place the

0

$0$ in the result line.


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$
				$0$ $0$

Step 1.11

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

0 + 5 + 0

$0 + 5 + 0$ , then place the

5

$5$ in the result line.


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$
			$5$ $5$	$0$ $0$

Step 1.12

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

0 + 6 + 6

$0 + 6 + 6$ , then place the

2

$2$ in the result line and carry the

1

$1$ .


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$
		$2$ $2$	$5$ $5$	$0$ $0$

Step 1.13

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

0 + 0 + 2 + 1

$0 + 0 + 2 + 1$ , then place the

3

$3$ in the result line.


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$
	$3$ $3$	$2$ $2$	$5$ $5$	$0$ $0$


		$0$ $0$	. $1$ $1$	$3$ $3$
	$⨯$ $⨯$	$2$ $2$	$5$ $5$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$6$ $6$	$5$ $5$
$0$ $0$	$2$ $2$	$6$ $6$
	$3$ $3$	$2$ $2$	$5$ $5$	$0$ $0$

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.

32.5

$32.5$