Basic Math Examples

16384 \cdot 4

$16384 \cdot 4$

Step 1

Multiply using long multiplication.

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Step 1.1

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

4

$4$ .

				$1$ $1$
	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
					$6$ $6$

Step 1.2

Multiply

4

$4$ by

8

$8$ and add the carried

1

$1$ . Place the ones digit

(3)

$(3)$ in the result line and carry the tens digit

(3)

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

4

$4$ .

			$3$ $3$	$1$ $1$
	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
				$3$ $3$	$6$ $6$

Step 1.3

Multiply

4

$4$ by

3

$3$ and add the carried

3

$3$ . Place the ones digit

(5)

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

(1)

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

4

$4$ .

		$1$ $1$	$3$ $3$	$1$ $1$
	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
			$5$ $5$	$3$ $3$	$6$ $6$

Step 1.4

Multiply

4

$4$ by

6

$6$ and add the carried

1

$1$ . 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 the

4

$4$ .

	$2$ $2$	$1$ $1$	$3$ $3$	$1$ $1$
	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
		$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$

Step 1.5

Multiply

4

$4$ by

1

$1$ and add the carried

2

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

4

$4$ .


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$

Step 1.6

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

6

$6$ , then place the

6

$6$ in the result line.


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
					$6$ $6$

Step 1.7

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

3

$3$ , then place the

3

$3$ in the result line.


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
				$3$ $3$	$6$ $6$

Step 1.8

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

5

$5$ , then place the

5

$5$ in the result line.


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
			$5$ $5$	$3$ $3$	$6$ $6$

Step 1.9

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

5

$5$ , then place the

5

$5$ in the result line.


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
		$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$

Step 1.10

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

6

$6$ , then place the

6

$6$ in the result line.


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$


	$1$ $1$	$6$ $6$	$3$ $3$	$8$ $8$	$4$ $4$
$\times$ $⨯$					$4$ $4$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$
	$6$ $6$	$5$ $5$	$5$ $5$	$3$ $3$	$6$ $6$

Step 2

The result of

16384 \cdot 4

$16384 \cdot 4$ is

65536

$65536$ .

65536

$65536$