Evaluate 43.3*0.034

$43.3 \cdot 0.034$

Step 1

Multiply using long multiplication.

Multiply $4$ by $3$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $0.034$ .

			$1$
		$4$	$3$	. $3$
$⨯$	$0$	. $0$	$3$	$4$
				$2$

Multiply $4$ by $3$ and add the carried $1$ . Place the ones digit $(3)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in the $0.034$ .

		$1$	$1$
		$4$	$3$	. $3$
$⨯$	$0$	. $0$	$3$	$4$
			$3$	$2$

Multiply $4$ by $4$ and add the carried $1$ . 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 $0.034$ .


		$4$	$3$	. $3$
$⨯$	$0$	. $0$	$3$	$4$
	$1$	$7$	$3$	$2$

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $3$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $3$ by $4$ . Place the ones digit $(2)$ in the result line and carry the tens digit $(1)$ . There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $3$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

Multiply $0$ by $4$ . Place the result in the next column in the result line. There is one result line for each digit in $0.034$ .


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

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


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

Add the numbers in each column. In this case, add $3 + 9 + 0 + 0$ , then place the $2$ in the result line and carry the $1$ .


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

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


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

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


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

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


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


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

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 $4$ , so the answer must have $4$ decimal places as well.

$1.4722$

Evaluate 43.3*0.034

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