Basic Math Examples

$0.005 \cdot 15000$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
					$0$

Step 1.2

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
				$0$	$0$

Step 1.3

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 1.4

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 1.5

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
				$0$

Step 1.6

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
			$0$	$0$

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 $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
		$0$	$0$	$0$

Step 1.8

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$

Step 1.9

Multiply $0$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
			$0$

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 $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
		$0$	$0$

Step 1.11

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
	$0$	$0$	$0$

Step 1.12

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


		$0$	. $0$	$0$	$5$
$⨯$	$1$	$5$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$

Step 1.13

Multiply $5$ by $5$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $15000$ .

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

Step 1.14

Multiply $5$ by $0$ and add the carried $2$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .

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

Step 1.15

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .

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

Step 1.16

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


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

Step 1.17

Multiply $1$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


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

Step 1.18

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


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

Step 1.19

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


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

Step 1.20

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15000$ .


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

Step 1.21

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


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

Step 1.22

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


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

Step 1.23

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


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

Step 1.24

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


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

Step 1.25

Add the numbers in each column. In this case, add $0 + 0 + 0 + 2 + 5$ , then place the $7$ in the result line.


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


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

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.

$75$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$