Evaluate 873.7*13.0

$873.7 \cdot 13$

Step 1

Multiply using long multiplication.

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
				$0$

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
			$0$	$0$

Multiply $0$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
		$0$	$0$	$0$

Multiply $0$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
	$0$	$0$	$0$	$0$

Multiply $3$ by $7$ . Place the ones digit $(1)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in $13$ .

			$2$
	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
	$0$	$0$	$0$	$0$
			$1$

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 $13$ .

		$1$	$2$
	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
	$0$	$0$	$0$	$0$
		$1$	$1$

Multiply $3$ by $7$ and add the carried $1$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $13$ .

	$2$	$1$	$2$
	$8$	$7$	$3$	. $7$
$⨯$		$1$	$3$	. $0$
	$0$	$0$	$0$	$0$
	$2$	$1$	$1$

Multiply $3$ by $8$ and add the carried $2$ . Place the ones digit $(6)$ in the result line and carry the tens digit $(2)$ . There is one result line for each digit in the $13$ .


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

Multiply $1$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


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

Multiply $1$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


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

Multiply $1$ by $7$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


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

Multiply $1$ by $8$ . Place the result in the next column in the result line. There is one result line for each digit in $13$ .


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

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


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

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


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

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


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

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


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

Add the numbers in each column. In this case, add $0 + 6 + 7$ , then place the $3$ in the result line and carry the $1$ .


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

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


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


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

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 $2$ , so the answer must have $2$ decimal places as well.

$11358.1$

Evaluate 873.7*13.0

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