Basic Math Examples

36 \cdot 36

$36 \cdot 36$

Step 1

Multiply using long multiplication.

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Step 1.1

Multiply

6

$6$ by

6

$6$ . Place the ones digit

(6)

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

(3)

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

36

$36$ .

	$3$ $3$
	$3$ $3$	$6$ $6$
$⨯$ $⨯$	$3$ $3$	$6$ $6$
		$6$ $6$

Step 1.2

Multiply

6

$6$ by

3

$3$ and add the carried

3

$3$ . Place the ones digit

(1)

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

(2)

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

36

$36$ .


	$3$ $3$	$6$ $6$
$⨯$ $⨯$	$3$ $3$	$6$ $6$
$2$ $2$	$1$ $1$	$6$ $6$

Step 1.3

Multiply

3

$3$ by

6

$6$ . 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

36

$36$ .

	$1$ $1$
	$3$ $3$	$6$ $6$
$⨯$ $⨯$	$3$ $3$	$6$ $6$
$2$ $2$	$1$ $1$	$6$ $6$
	$8$ $8$

Step 1.4

Multiply

3

$3$ by

3

$3$ and add the carried

1

$1$ . Place the ones digit

(0)

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

(1)

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

36

$36$ .


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$

Step 1.5

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

6 + 0

$6 + 0$ , then place the

6

$6$ in the result line.


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$
			$6$ $6$

Step 1.6

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

1 + 8

$1 + 8$ , then place the

9

$9$ in the result line.


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$
		$9$ $9$	$6$ $6$

Step 1.7

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

2 + 0

$2 + 0$ , then place the

2

$2$ in the result line.


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$
	$2$ $2$	$9$ $9$	$6$ $6$

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.


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$
$1$ $1$	$2$ $2$	$9$ $9$	$6$ $6$


		$3$ $3$	$6$ $6$
	$⨯$ $⨯$	$3$ $3$	$6$ $6$
	$2$ $2$	$1$ $1$	$6$ $6$
$1$ $1$	$0$ $0$	$8$ $8$
$1$ $1$	$2$ $2$	$9$ $9$	$6$ $6$

Step 2

The result of

36 \cdot 36

$36 \cdot 36$ is

1296

$1296$ .

1296

$1296$