Pre-Algebra Examples

$1000000 \cdot 0.0006$

Step 1

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
							$0$

Step 2

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
						$0$	$0$

Step 3

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
					$0$	$0$	$0$

Step 4

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
				$0$	$0$	$0$	$0$

Step 5

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
			$0$	$0$	$0$	$0$	$0$

Step 6

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
		$0$	$0$	$0$	$0$	$0$	$0$

Step 7

Multiply $6$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$

Step 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 $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
						$0$

Step 9

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$	$0$

Step 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 $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$	$0$

Step 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 $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$

Step 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 $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$

Step 13

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$

Step 14

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$

Step 15

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$

Step 16

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$

Step 17

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 18

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 19

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$

Step 20

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


	$1$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$			$0$	. $0$	$0$	$0$	$6$
	$6$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$

Step 21

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$

Step 22

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$

Step 23

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$

Step 24

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 25

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 26

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$

Step 27

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


		$1$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$			$0$	. $0$	$0$	$0$	$6$
		$6$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$

Step 28

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$

Step 29

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$

Step 30

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$

Step 31

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$

Step 32

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$

Step 33

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$

Step 34

Multiply $0$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


			$1$	$0$	$0$	$0$	$0$	$0$	$0$
		$⨯$			$0$	. $0$	$0$	$0$	$6$
			$6$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$

Step 35

Multiply $0$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $0.0006$ .


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$

Step 36

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
										$0$

Step 37

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
									$0$	$0$

Step 38

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
								$0$	$0$	$0$

Step 39

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
							$0$	$0$	$0$	$0$

Step 40

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
						$0$	$0$	$0$	$0$	$0$

Step 41

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$	$0$	$0$	$0$	$0$	$0$

Step 42

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


				$1$	$0$	$0$	$0$	$0$	$0$	$0$
			$⨯$			$0$	. $0$	$0$	$0$	$6$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$	$0$
		$0$	$0$	$0$	$0$	$0$	$0$	$0$
	$0$	$0$	$0$	$0$	$0$	$0$	$0$
$0$	$0$	$0$	$0$	$0$	$0$	$0$
				$6$	$0$	$0$	$0$	$0$	$0$	$0$

Step 43

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 $4$ , so the answer must have $4$ decimal places as well.

$600$

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