Basic Math Examples

45 \cdot 45

$45 \cdot 45$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

5

$5$ by

5

$5$ . Place the ones digit

(5)

$(5)$ in the result line and carry the tens digit

(2)

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

45

$45$ .

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

Step 1.2

Multiply

5

$5$ by

4

$4$ and add the carried

2

$2$ . Place the ones digit

(2)

$(2)$ in the result line and carry the tens digit

(2)

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

45

$45$ .


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

Step 1.3

Multiply

4

$4$ by

5

$5$ . 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

$45$ .

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

Step 1.4

Multiply

4

$4$ by

4

$4$ and add the carried

2

$2$ . Place the ones digit

(8)

$(8)$ in the result line and carry the tens digit

(1)

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

45

$45$ .


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

Step 1.5

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

5 + 0

$5 + 0$ , then place the

5

$5$ in the result line.


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

Step 1.6

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

2 + 0

$2 + 0$ , then place the

2

$2$ in the result line.


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

Step 1.7

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

2 + 8

$2 + 8$ , then place the

0

$0$ in the result line and carry the

1

$1$ .


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

Step 1.8

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

0 + 1 + 1

$0 + 1 + 1$ , then place the

2

$2$ in the result line.


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


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

Step 2

The result of

45 \cdot 45

$45 \cdot 45$ is

2025

$2025$ .

2025

$2025$