Basic Math Examples

0.85 \cdot 600

$0.85 \cdot 600$

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

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
			$0$ $0$

Step 1.2

Multiply

0

$0$ by

8

$8$ . Place the result in the next column in the result line. There is one result line for each digit in

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$

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

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.4

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

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
		$0$ $0$

Step 1.5

Multiply

0

$0$ by

8

$8$ . Place the result in the next column in the result line. There is one result line for each digit in

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.6

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

600

$600$ .


	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$

Step 1.7

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

600

$600$ .

		$3$ $3$
	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$

Step 1.8

Multiply

6

$6$ by

8

$8$ and add the carried

3

$3$ . Place the ones digit

(1)

$(1)$ in the result line and carry the tens digit

(5)

$(5)$ . There is one result line for each digit in the

600

$600$ .

	$5$ $5$	$3$ $3$
	$0$ $0$	. $8$ $8$	$5$ $5$
$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$0$ $0$

Step 1.9

Multiply

6

$6$ by

0

$0$ and add the carried

5

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

600

$600$ .


		$0$ $0$	. $8$ $8$	$5$ $5$
	$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$5$ $5$	$1$ $1$	$0$ $0$

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.


		$0$ $0$	. $8$ $8$	$5$ $5$
	$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$5$ $5$	$1$ $1$	$0$ $0$
				$0$ $0$

Step 1.11

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.


		$0$ $0$	. $8$ $8$	$5$ $5$
	$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$5$ $5$	$1$ $1$	$0$ $0$
			$0$ $0$	$0$ $0$

Step 1.12

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.


		$0$ $0$	. $8$ $8$	$5$ $5$
	$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$5$ $5$	$1$ $1$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$

Step 1.13

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

0 + 0 + 1

$0 + 0 + 1$ , then place the

1

$1$ in the result line.


		$0$ $0$	. $8$ $8$	$5$ $5$
	$\times$ $⨯$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$5$ $5$	$1$ $1$	$0$ $0$
	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.14

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

0 + 0 + 5

$0 + 0 + 5$ , then place the

5

$5$ in the result line.


		$0$ $0$	. $8$	$5$
	$⨯$	$6$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$5$	$1$	$0$
$5$	$1$	$0$	$0$	$0$


		$0$	. $8$	$5$
	$⨯$	$6$	$0$	$0$
		$0$	$0$	$0$
	$0$	$0$	$0$
$5$	$1$	$0$
$5$	$1$	$0$	$0$	$0$

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

$2$ , so the answer must have

$2$ decimal places as well.

$510$