Pre-Algebra Examples

$283000000 \cdot 15.6$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
									$0$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
								$0$	$0$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
							$0$	$0$	$0$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
						$0$	$0$	$0$	$0$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
					$0$	$0$	$0$	$0$	$0$

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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
				$0$	$0$	$0$	$0$	$0$	$0$

Step 7

Multiply $6$ by $3$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $15.6$ .

		$1$
	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
			$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 8

Multiply $6$ by $8$ and add the carried $1$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $15.6$ .

	$4$	$1$
	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
		$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 9

Multiply $6$ by $2$ and add the carried $4$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 10

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
								$0$

Step 11

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
							$0$	$0$

Step 12

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
						$0$	$0$	$0$

Step 13

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$	$0$	$0$	$0$

Step 14

Multiply $5$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$	$0$	$0$	$0$

Step 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 $15.6$ .


	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$

Step 16

Multiply $5$ by $3$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $15.6$ .

		$1$
	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
		$5$	$0$	$0$	$0$	$0$	$0$	$0$

Step 17

Multiply $5$ by $8$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $15.6$ .

	$4$	$1$
	$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$⨯$							$1$	$5$	. $6$
$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$

Step 18

Multiply $5$ by $2$ and add the carried $4$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$

Step 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 $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
								$0$

Step 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 $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
							$0$	$0$

Step 21

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
						$0$	$0$	$0$

Step 22

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$	$0$	$0$	$0$

Step 23

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
				$0$	$0$	$0$	$0$	$0$

Step 24

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
			$0$	$0$	$0$	$0$	$0$	$0$

Step 25

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
		$3$	$0$	$0$	$0$	$0$	$0$	$0$

Step 26

Multiply $1$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$

Step 27

Multiply $1$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $15.6$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$

Step 28

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
										$0$

Step 29

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
									$0$	$0$

Step 30

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
								$0$	$0$	$0$

Step 31

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
							$0$	$0$	$0$	$0$

Step 32

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
						$0$	$0$	$0$	$0$	$0$

Step 33

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


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
					$0$	$0$	$0$	$0$	$0$	$0$

Step 34

Add the numbers in each column. In this case, add $8 + 0 + 0$ , then place the $8$ in the result line.


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
				$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 35

Add the numbers in each column. In this case, add $9 + 5 + 0$ , then place the $4$ in the result line and carry the $1$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
			$4$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 36

Add the numbers in each column. In this case, add $6 + 1 + 3 + 1$ , then place the $1$ in the result line and carry the $1$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
		$1$	$4$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 37

Add the numbers in each column. In this case, add $1 + 4 + 8 + 1$ , then place the $4$ in the result line and carry the $1$ .


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$4$	$1$	$4$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 38

Add the numbers in each column. In this case, add $0 + 1 + 2 + 1$ , then place the $4$ in the result line.


		$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
	$⨯$							$1$	$5$	. $6$
	$1$	$6$	$9$	$8$	$0$	$0$	$0$	$0$	$0$	$0$
$1$	$4$	$1$	$5$	$0$	$0$	$0$	$0$	$0$	$0$
$2$	$8$	$3$	$0$	$0$	$0$	$0$	$0$	$0$
$4$	$4$	$1$	$4$	$8$	$0$	$0$	$0$	$0$	$0$	$0$

Step 39

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 $1$ , so the answer must have $1$ decimal places as well.

$4414800000$

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