Basic Math Examples

0.075 \cdot 60

$0.075 \cdot 60$

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

60

$60$ .


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
				$0$ $0$

Step 1.2

Multiply

0

$0$ by

7

$7$ . Place the result in the next column in the result line. There is one result line for each digit in

60

$60$ .


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
			$0$ $0$	$0$ $0$

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

60

$60$ .


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$

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

60

$60$ .


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.5

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

60

$60$ .

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

Step 1.6

Multiply

6

$6$ by

7

$7$ and add the carried

3

$3$ . Place the ones digit

(5)

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

(4)

$(4)$ . There is one result line for each digit in the

60

$60$ .

		$4$ $4$	$3$ $3$
	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
		$5$ $5$	$0$ $0$

Step 1.7

Multiply

6

$6$ by

0

$0$ and add the carried

4

$4$ . Place the result in the next column in the result line. There is one result line for each digit in

60

$60$ .

		$4$ $4$	$3$ $3$
	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
	$4$ $4$	$5$ $5$	$0$ $0$

Step 1.8

Multiply

6

$6$ by

0

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

60

$60$ .


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$

Step 1.9

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$
				$0$ $0$

Step 1.10

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$
			$0$ $0$	$0$ $0$

Step 1.11

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

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$
		$5$ $5$	$0$ $0$	$0$ $0$

Step 1.12

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

0 + 4

$0 + 4$ , then place the

4

$4$ in the result line.


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$
	$4$ $4$	$5$ $5$	$0$ $0$	$0$ $0$


	$0$ $0$	. $0$ $0$	$7$ $7$	$5$ $5$
$⨯$ $⨯$			$6$ $6$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$	$0$ $0$
$0$ $0$	$4$ $4$	$5$ $5$	$0$ $0$
	$4$ $4$	$5$ $5$	$0$ $0$	$0$ $0$

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

3

$3$ , so the answer must have

3

$3$ decimal places as well.

4.5

$4.5$