Basic Math Examples

400 \cdot 45

$400 \cdot 45$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

5

$5$ by

0

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

45

$45$ .


	$4$ $4$	$0$ $0$	$0$ $0$
$\times$ $⨯$		$4$ $4$	$5$ $5$
			$0$ $0$

Step 1.2

Multiply

5

$5$ by

0

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

45

$45$ .


	$4$ $4$	$0$ $0$	$0$ $0$
$\times$ $⨯$		$4$ $4$	$5$ $5$
		$0$ $0$	$0$ $0$

Step 1.3

Multiply

5

$5$ by

4

$4$ . Place the ones digit

(0)

$(0)$ in the result line and carry the tens digit

(2)

$(2)$ . There is one result line for each digit in

45

$45$ .


	$4$ $4$	$0$ $0$	$0$ $0$
$\times$ $⨯$		$4$ $4$	$5$ $5$
$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.4

Multiply

4

$4$ by

0

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

45

$45$ .


	$4$ $4$	$0$ $0$	$0$ $0$
$\times$ $⨯$		$4$ $4$	$5$ $5$
$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
		$0$ $0$

Step 1.5

Multiply

4

$4$ by

0

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

45

$45$ .


	$4$ $4$	$0$ $0$	$0$ $0$
$\times$ $⨯$		$4$ $4$	$5$ $5$
$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.6

Multiply

4

$4$ by

4

$4$ . Place the ones digit

(6)

$(6)$ in the result line and carry the tens digit

(1)

$(1)$ . There is one result line for each digit in

45

$45$ .


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$

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.


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
				$0$ $0$

Step 1.8

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$

Step 1.9

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$	$0$ $0$

Step 1.10

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

2 + 6

$2 + 6$ , then place the

8

$8$ in the result line.


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
	$8$ $8$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.11

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
$1$ $1$	$8$ $8$	$0$ $0$	$0$ $0$	$0$ $0$


		$4$ $4$	$0$ $0$	$0$ $0$
	$\times$ $⨯$		$4$ $4$	$5$ $5$
	$2$ $2$	$0$ $0$	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$
$1$ $1$	$8$ $8$	$0$ $0$	$0$ $0$	$0$ $0$

Step 2

The result of

400 \cdot 45

$400 \cdot 45$ is

18000

$18000$ .

18000

$18000$