Basic Math Examples

$890 \cdot 0.075$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
				$0$

Step 1.2

Multiply $5$ by $9$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $0.075$ .

		$4$
		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
			$5$	$0$

Step 1.3

Multiply $5$ by $8$ and add the carried $4$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$

Step 1.4

Multiply $7$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
			$0$

Step 1.5

Multiply $7$ by $9$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in $0.075$ .

		$6$
		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
		$3$	$0$

Step 1.6

Multiply $7$ by $8$ and add the carried $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(6)$ . There is one result line for each digit in the $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$

Step 1.7

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$
		$0$

Step 1.8

Multiply $0$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$
	$0$	$0$

Step 1.9

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$
$0$	$0$	$0$

Step 1.10

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$
$0$	$0$	$0$
	$0$

Step 1.11

Multiply $0$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


		$8$	$9$	$0$
$⨯$	$0$	. $0$	$7$	$5$
	$4$	$4$	$5$	$0$
$6$	$2$	$3$	$0$
$0$	$0$	$0$
$0$	$0$

Step 1.12

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $0.075$ .


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$

Step 1.13

Add the numbers in each column. In this case, add $0 + 0 + 0 + 0$ , then place the $0$ in the result line.


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
					$0$

Step 1.14

Add the numbers in each column. In this case, add $5 + 0 + 0 + 0$ , then place the $5$ in the result line.


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
				$5$	$0$

Step 1.15

Add the numbers in each column. In this case, add $4 + 3 + 0 + 0$ , then place the $7$ in the result line.


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
			$7$	$5$	$0$

Step 1.16

Add the numbers in each column. In this case, add $4 + 2 + 0 + 0$ , then place the $6$ in the result line.


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
		$6$	$7$	$5$	$0$

Step 1.17

Add the numbers in each column. In this case, add $0 + 6 + 0 + 0$ , then place the $6$ in the result line.


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
	$6$	$6$	$7$	$5$	$0$


			$8$	$9$	$0$
	$⨯$	$0$	. $0$	$7$	$5$
		$4$	$4$	$5$	$0$
	$6$	$2$	$3$	$0$
	$0$	$0$	$0$
$0$	$0$	$0$
	$6$	$6$	$7$	$5$	$0$

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.

$66.75$