Basic Math Examples

$3.14 \cdot 25$

Step 1

Multiply using long multiplication.

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Step 1.1

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

$25$ .

		$2$
	$3$	. $1$	$4$
$⨯$		$2$	$5$
			$0$

Step 1.2

Multiply

$5$ by

$1$ and add the carried

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

$25$ .

		$2$
	$3$	. $1$	$4$
$⨯$		$2$	$5$
		$7$	$0$

Step 1.3

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

$25$ .


	$3$	. $1$	$4$
$⨯$		$2$	$5$
$1$	$5$	$7$	$0$

Step 1.4

Multiply

$2$ by

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

$25$ .


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

Step 1.5

Multiply

$2$ by

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

$25$ .


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

Step 1.6

Multiply

$2$ by

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

$25$ .


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

Step 1.7

Add the numbers in each column. In this case, add

$0 + 0$ , then place the

$0$ in the result line.


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

Step 1.8

Add the numbers in each column. In this case, add

$7 + 8$ , then place the

$5$ in the result line and carry the

$1$ .


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

Step 1.9

Add the numbers in each column. In this case, add

$5 + 2 + 1$ , then place the

$8$ in the result line.


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

Step 1.10

Add the numbers in each column. In this case, add

$1 + 6$ , then place the

$7$ in the result line.


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


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

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.

$78.5$