Pre-Algebra Examples

$0.02954195 \cdot 1.645$

Step 1

Multiply $5$ by $7$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in $1.645$ .

												$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
													$5$

Step 2

Multiply $5$ by $9$ and add the carried $3$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $1.645$ .

											$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
												$8$	$5$

Step 3

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 $1.645$ .

										$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
											$4$	$8$	$5$

Step 4

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 $1.645$ .

									$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
										$1$	$4$	$8$	$5$

Step 5

Multiply $5$ by $5$ and add the carried $4$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $1.645$ .

								$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
									$9$	$1$	$4$	$8$	$5$

Step 6

Multiply $5$ by $9$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $1.645$ .

							$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
								$7$	$9$	$1$	$4$	$8$	$5$

Step 7

Multiply $5$ by $1$ and add the carried $4$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .

							$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
							$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 8

Multiply $5$ by $4$ . Place the ones digit $(0)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $1.645$ .

					$2$		$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
						$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 9

Multiply $5$ by $5$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $1.645$ .

				$2$	$2$		$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
					$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 10

Multiply $5$ by $9$ and add the carried $2$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in the $1.645$ .

			$4$	$2$	$2$		$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
				$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 11

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 $1.645$ .

		$1$	$4$	$2$	$2$		$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
			$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 12

Multiply $5$ by $0$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .

		$1$	$4$	$2$	$2$		$4$	$2$	$4$	$1$	$4$	$3$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
		$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

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 $1.645$ .


	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$

Step 14

Multiply $4$ by $7$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $1.645$ .

												$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
												$8$

Step 15

Multiply $4$ by $9$ and add the carried $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

											$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
											$8$	$8$

Step 16

Multiply $4$ by $2$ and add the carried $3$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.645$ .

										$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
										$1$	$8$	$8$

Step 17

Multiply $4$ by $8$ and add the carried $1$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

									$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
									$3$	$1$	$8$	$8$

Step 18

Multiply $4$ by $5$ and add the carried $3$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $1.645$ .

								$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
								$3$	$3$	$1$	$8$	$8$

Step 19

Multiply $4$ by $9$ and add the carried $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

							$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
							$8$	$3$	$3$	$1$	$8$	$8$

Step 20

Multiply $4$ by $1$ and add the carried $3$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .

							$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
						$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 21

Multiply $4$ by $4$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $1.645$ .

					$1$		$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
					$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 22

Multiply $4$ by $5$ and add the carried $1$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $1.645$ .

				$2$	$1$		$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
				$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 23

Multiply $4$ by $9$ and add the carried $2$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

			$3$	$2$	$1$		$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
			$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 24

Multiply $4$ by $2$ and add the carried $3$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.645$ .

		$1$	$3$	$2$	$1$		$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 25

Multiply $4$ by $0$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .

		$1$	$3$	$2$	$1$		$3$	$2$	$3$	$1$	$3$	$2$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 26

Multiply $4$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$

Step 27

Multiply $6$ by $7$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(4)$ . There is one result line for each digit in $1.645$ .

												$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
											$2$

Step 28

Multiply $6$ by $9$ and add the carried $4$ . Place the ones digit $(8)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $1.645$ .

											$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
										$8$	$2$

Step 29

Multiply $6$ by $2$ and add the carried $5$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.645$ .

										$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
									$7$	$8$	$2$

Step 30

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 $1.645$ .

									$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
								$9$	$7$	$8$	$2$

Step 31

Multiply $6$ by $5$ and add the carried $4$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

								$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
							$4$	$9$	$7$	$8$	$2$

Step 32

Multiply $6$ by $9$ and add the carried $3$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $1.645$ .

							$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
						$7$	$4$	$9$	$7$	$8$	$2$

Step 33

Multiply $6$ by $1$ and add the carried $5$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.645$ .

						$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
					$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 34

Multiply $6$ by $4$ and add the carried $1$ . Place the ones digit $(5)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $1.645$ .

					$2$	$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
				$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 35

Multiply $6$ by $5$ and add the carried $2$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(3)$ . There is one result line for each digit in the $1.645$ .

				$3$	$2$	$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
			$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 36

Multiply $6$ by $9$ and add the carried $3$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(5)$ . There is one result line for each digit in the $1.645$ .

			$5$	$3$	$2$	$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
		$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 37

Multiply $6$ by $2$ and add the carried $5$ . Place the ones digit $(7)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $1.645$ .

		$1$	$5$	$3$	$2$	$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 38

Multiply $6$ by $0$ and add the carried $1$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .

		$1$	$5$	$3$	$2$	$1$	$5$	$3$	$4$	$1$	$5$	$4$
	$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
$⨯$										$1$	. $6$	$4$	$5$
	$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 39

Multiply $6$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$

Step 40

Multiply $1$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
											$7$

Step 41

Multiply $1$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
										$9$	$7$

Step 42

Multiply $1$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
									$2$	$9$	$7$

Step 43

Multiply $1$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
								$8$	$2$	$9$	$7$

Step 44

Multiply $1$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
							$5$	$8$	$2$	$9$	$7$

Step 45

Multiply $1$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
						$9$	$5$	$8$	$2$	$9$	$7$

Step 46

Multiply $1$ by $1$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
					$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 47

Multiply $1$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
				$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 48

Multiply $1$ by $5$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
			$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 49

Multiply $1$ by $9$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
		$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 50

Multiply $1$ by $2$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 51

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


		$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
	$⨯$										$1$	. $6$	$4$	$5$
		$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
	$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 52

Multiply $1$ by $0$ . Place the result in the next column in the result line. There is one result line for each digit in $1.645$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$

Step 53

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


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
															$5$

Step 54

Add the numbers in each column. In this case, add $8 + 8 + 0 + 0$ , then place the $6$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
														$6$	$5$

Step 55

Add the numbers in each column. In this case, add $4 + 8 + 2 + 0 + 1$ , then place the $5$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
													$5$	$6$	$5$

Step 56

Add the numbers in each column. In this case, add $1 + 1 + 8 + 7 + 1$ , then place the $8$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
												$8$	$5$	$6$	$5$

Step 57

Add the numbers in each column. In this case, add $9 + 3 + 7 + 9 + 1$ , then place the $9$ in the result line and carry the $2$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
											$9$	$8$	$5$	$6$	$5$

Step 58

Add the numbers in each column. In this case, add $7 + 3 + 9 + 2 + 2$ , then place the $3$ in the result line and carry the $2$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
										$3$	$9$	$8$	$5$	$6$	$5$

Step 59

Add the numbers in each column. In this case, add $9 + 8 + 4 + 8 + 2$ , then place the $1$ in the result line and carry the $3$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
									$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 60

Add the numbers in each column. In this case, add $0 + 7 + 7 + 5 + 3$ , then place the $2$ in the result line and carry the $2$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
								$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 61

Add the numbers in each column. In this case, add $7 + 6 + 1 + 9 + 2$ , then place the $5$ in the result line and carry the $2$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
							$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 62

Add the numbers in each column. In this case, add $7 + 1 + 5 + 1 + 2$ , then place the $6$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
						$6$	$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 63

Add the numbers in each column. In this case, add $4 + 8 + 2 + 4 + 1$ , then place the $9$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
					$9$	$6$	$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 64

Add the numbers in each column. In this case, add $1 + 1 + 7 + 5 + 1$ , then place the $5$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
				$5$	$9$	$6$	$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 65

Add the numbers in each column. In this case, add $0 + 1 + 7 + 9 + 1$ , then place the $8$ in the result line and carry the $1$ .


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
			$8$	$5$	$9$	$6$	$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 66

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


			$0$	. $0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$⨯$										$1$	. $6$	$4$	$5$
			$0$	$1$	$4$	$7$	$7$	$0$	$9$	$7$	$9$	$1$	$4$	$8$	$5$
		$0$	$1$	$1$	$8$	$1$	$6$	$7$	$8$	$3$	$3$	$1$	$8$	$8$
	$0$	$1$	$7$	$7$	$2$	$5$	$1$	$7$	$4$	$9$	$7$	$8$	$2$
$0$	$0$	$2$	$9$	$5$	$4$	$1$	$9$	$5$	$8$	$2$	$9$	$7$
		$4$	$8$	$5$	$9$	$6$	$5$	$2$	$1$	$3$	$9$	$8$	$5$	$6$	$5$

Step 67

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 $15$ , so the answer must have $15$ decimal places as well.

$0.04859652$