Basic Math Examples

38 \cdot 38

$38 \cdot 38$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

8

$8$ by

8

$8$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(6)

$(6)$ . There is one result line for each digit in

38

$38$ .

	$6$ $6$
	$3$ $3$	$8$ $8$
$\times$ $⨯$	$3$ $3$	$8$ $8$
		$4$ $4$

Step 1.2

Multiply

8

$8$ by

3

$3$ and add the carried

6

$6$ . Place the ones digit

(0)

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

(3)

$(3)$ . There is one result line for each digit in the

38

$38$ .


	$3$ $3$	$8$ $8$
$\times$ $⨯$	$3$ $3$	$8$ $8$
$3$ $3$	$0$ $0$	$4$ $4$

Step 1.3

Multiply

3

$3$ by

8

$8$ . Place the ones digit

(4)

$(4)$ in the result line and carry the tens digit

(2)

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

38

$38$ .

	$2$ $2$
	$3$ $3$	$8$ $8$
$\times$ $⨯$	$3$ $3$	$8$ $8$
$3$ $3$	$0$ $0$	$4$ $4$
	$4$ $4$

Step 1.4

Multiply

3

$3$ by

3

$3$ and add the carried

2

$2$ . Place the ones digit

(1)

$(1)$ in the result line and carry the tens digit

(1)

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

38

$38$ .


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$

Step 1.5

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

4 + 0

$4 + 0$ , then place the

4

$4$ in the result line.


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$
			$4$ $4$

Step 1.6

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

0 + 4

$0 + 4$ , then place the

4

$4$ in the result line.


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$
		$4$ $4$	$4$ $4$

Step 1.7

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

3 + 1

$3 + 1$ , then place the

4

$4$ in the result line.


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$
	$4$ $4$	$4$ $4$	$4$ $4$

Step 1.8

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$
$1$ $1$	$4$ $4$	$4$ $4$	$4$ $4$


		$3$ $3$	$8$ $8$
	$\times$ $⨯$	$3$ $3$	$8$ $8$
	$3$ $3$	$0$ $0$	$4$ $4$
$1$ $1$	$1$ $1$	$4$ $4$
$1$ $1$	$4$ $4$	$4$ $4$	$4$ $4$

Step 2

The result of

38 \cdot 38

$38 \cdot 38$ is

1444

$1444$ .

1444

$1444$