Basic Math Examples

0.625 \cdot 16

$0.625 \cdot 16$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

6

$6$ by

5

$5$ . Place the ones digit

(0)

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

(3)

$(3)$ . There is one result line for each digit in

16

$16$ .

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

Step 1.2

Multiply

6

$6$ by

2

$2$ and add the carried

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 the

16

$16$ .

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

Step 1.3

Multiply

6

$6$ by

6

$6$ and add the carried

1

$1$ . Place the ones digit

(7)

$(7)$ in the result line and carry the tens digit

(3)

$(3)$ . There is one result line for each digit in the

16

$16$ .

	$3$ $3$	$1$ $1$	$3$ $3$
	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
		$7$ $7$	$5$ $5$	$0$ $0$

Step 1.4

Multiply

6

$6$ by

0

$0$ and add the carried

3

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

16

$16$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
	$3$ $3$	$7$ $7$	$5$ $5$	$0$ $0$

Step 1.5

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

16

$16$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
	$3$ $3$	$7$ $7$	$5$ $5$	$0$ $0$
			$5$ $5$

Step 1.6

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

16

$16$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
	$3$ $3$	$7$ $7$	$5$ $5$	$0$ $0$
		$2$ $2$	$5$ $5$

Step 1.7

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

16

$16$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
	$3$ $3$	$7$ $7$	$5$ $5$	$0$ $0$
	$6$ $6$	$2$ $2$	$5$ $5$

Step 1.8

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

16

$16$ .


	$0$ $0$	. $6$ $6$	$2$ $2$	$5$ $5$
$\times$ $⨯$			$1$ $1$	$6$ $6$
	$3$ $3$	$7$ $7$	$5$ $5$	$0$ $0$
$0$ $0$	$6$ $6$	$2$ $2$	$5$ $5$

Step 1.9

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

0 + 0

$0 + 0$ , then place the

$0$ in the result line.


	$0$	. $6$	$2$	$5$
$⨯$			$1$	$6$
	$3$	$7$	$5$	$0$
$0$	$6$	$2$	$5$
				$0$

Step 1.10

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

$5 + 5$ , then place the

$0$ in the result line and carry the

$1$ .


	$0$	. $6$	$2$	$5$
$⨯$			$1$	$6$
	$3$	$7$	$5$	$0$
$0$	$6$	$2$	$5$
			$0$	$0$

Step 1.11

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

$7 + 2 + 1$ , then place the

$0$ in the result line and carry the

$1$ .


	$0$	. $6$	$2$	$5$
$⨯$			$1$	$6$
	$3$	$7$	$5$	$0$
$0$	$6$	$2$	$5$
		$0$	$0$	$0$

Step 1.12

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

$3 + 6 + 1$ , then place the

$0$ in the result line and carry the

$1$ .


	$0$	. $6$	$2$	$5$
$⨯$			$1$	$6$
	$3$	$7$	$5$	$0$
$0$	$6$	$2$	$5$
$1$	$0$	$0$	$0$	$0$


	$0$	. $6$	$2$	$5$
$⨯$			$1$	$6$
	$3$	$7$	$5$	$0$
$0$	$6$	$2$	$5$
$1$	$0$	$0$	$0$	$0$

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

$3$ , so the answer must have

$3$ decimal places as well.

$10$