Basic Math Examples

0.625 \cdot 100

$0.625 \cdot 100$

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
				$0$ $0$

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$

Step 1.3

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$

Step 1.4

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.5

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$

Step 1.6

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$

Step 1.7

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.8

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.9

Multiply

1

$1$ by

5

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
		$5$ $5$

Step 1.10

Multiply

1

$1$ by

2

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

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
	$2$ $2$	$5$ $5$

Step 1.11

Multiply

1

$1$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

100

$100$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$6$ $6$	$2$ $2$	$5$ $5$

Step 1.12

Multiply

1

$1$ by

0

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

100

$100$ .


		$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
	$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$6$ $6$	$2$ $2$	$5$ $5$

Step 1.13

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.


		$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
	$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$6$ $6$	$2$ $2$	$5$ $5$
					$0$ $0$

Step 1.14

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.


		$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
	$\times$ $⨯$		$1$ $1$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$	$0$
	$0$	$0$	$0$	$0$
$0$	$6$	$2$	$5$
				$0$	$0$

Step 1.15

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

$0 + 0 + 5$ , then place the

$5$ in the result line.


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

Step 1.16

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

$0 + 0 + 2$ , then place the

$2$ in the result line.


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

Step 1.17

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

$0 + 0 + 6$ , then place the

$6$ in the result line.


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


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

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

$3$ , so the answer must have

$3$ decimal places as well.

$62.5$