Basic Math Examples

2.25 \cdot 10

$2.25 \cdot 10$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

0

$0$ by

5

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
			$0$ $0$

Step 1.2

Multiply

0

$0$ by

2

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
		$0$ $0$	$0$ $0$

Step 1.3

Multiply

0

$0$ by

2

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.4

Multiply

1

$1$ by

5

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
		$5$ $5$

Step 1.5

Multiply

1

$1$ by

2

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
	$2$ $2$	$5$ $5$

Step 1.6

Multiply

1

$1$ by

2

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

10

$10$ .


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$

Step 1.7

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$
			$0$ $0$

Step 1.8

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

0 + 5

$0 + 5$ , then place the

5

$5$ in the result line.


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$
		$5$ $5$	$0$ $0$

Step 1.9

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

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$
	$2$ $2$	$5$ $5$	$0$ $0$

Step 1.10

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

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$
$2$ $2$	$2$ $2$	$5$ $5$	$0$ $0$


	$2$ $2$	. $2$ $2$	$5$ $5$
$\times$ $⨯$		$1$ $1$	$0$ $0$
	$0$ $0$	$0$ $0$	$0$ $0$
$2$ $2$	$2$ $2$	$5$ $5$
$2$ $2$	$2$ $2$	$5$ $5$	$0$ $0$

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

$2$ , so the answer must have

2

$2$ decimal places as well.

22.5

$22.5$