Evaluate 638*3.2

$638 \cdot 3.2$

Step 1

Multiply using long multiplication.

Multiply $2$ by $8$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3.2$ .

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

Multiply $2$ by $3$ 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 $3.2$ .

		$1$
	$6$	$3$	$8$
$⨯$		$3$	. $2$
		$7$	$6$

Multiply $2$ by $6$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $3.2$ .


	$6$	$3$	$8$
$⨯$		$3$	. $2$
$1$	$2$	$7$	$6$

Multiply $3$ by $8$ . Place the ones digit $(4)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $3.2$ .

		$2$
	$6$	$3$	$8$
$⨯$		$3$	. $2$
$1$	$2$	$7$	$6$
		$4$

Multiply $3$ by $3$ and add the carried $2$ . 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 $3.2$ .

	$1$	$2$
	$6$	$3$	$8$
$⨯$		$3$	. $2$
$1$	$2$	$7$	$6$
	$1$	$4$

Multiply $3$ by $6$ and add the carried $1$ . Place the ones digit $(9)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $3.2$ .


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

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


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

Add the numbers in each column. In this case, add $7 + 4$ , then place the $1$ in the result line and carry the $1$ .


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

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


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

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


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

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


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


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

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

$2041.6$

Evaluate 638*3.2

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