Pre-Algebra Examples

1000000 \cdot 0.0006

$1000000 \cdot 0.0006$

Step 1

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

0.0006

$0.0006$ .


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

Step 2

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

0.0006

$0.0006$ .


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

Step 3

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

0.0006

$0.0006$ .


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

Step 4

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

0.0006

$0.0006$ .


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

Step 5

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

0.0006

$0.0006$ .


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

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.

$600$