Basic Math Examples

1.6 \cdot 1000

$1.6 \cdot 1000$

Step 1

Multiply using long multiplication.

Tap for more steps...

Step 1.1

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
				$0$ $0$

Step 1.2

Multiply

0

$0$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$

Step 1.3

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
			$0$ $0$

Step 1.4

Multiply

0

$0$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$

Step 1.5

Multiply

0

$0$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
		$0$ $0$

Step 1.6

Multiply

0

$0$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.7

Multiply

1

$1$ by

6

$6$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
	$6$ $6$

Step 1.8

Multiply

1

$1$ by

1

$1$ . Place the result in the next column in the result line. There is one result line for each digit in

1000

$1000$ .


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$

Step 1.9

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

0 + 0 + 0 + 0

$0 + 0 + 0 + 0$ , then place the

0

$0$ in the result line.


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
				$0$ $0$

Step 1.10

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

0 + 0 + 0 + 0

$0 + 0 + 0 + 0$ , then place the

0

$0$ in the result line.


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
			$0$ $0$	$0$ $0$

Step 1.11

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

0 + 0 + 0 + 0

$0 + 0 + 0 + 0$ , then place the

0

$0$ in the result line.


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
		$0$ $0$	$0$ $0$	$0$ $0$

Step 1.12

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

0 + 0 + 0 + 6

$0 + 0 + 0 + 6$ , then place the

6

$6$ in the result line.


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
	$6$ $6$	$0$ $0$	$0$ $0$	$0$ $0$

Step 1.13

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

0 + 0 + 0 + 1

$0 + 0 + 0 + 1$ , then place the

1

$1$ in the result line.


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$	$0$ $0$


			$1$ $1$	. $6$ $6$
$⨯$ $⨯$	$1$ $1$	$0$ $0$	$0$ $0$	$0$ $0$
			$0$ $0$	$0$ $0$
		$0$ $0$	$0$ $0$
	$0$ $0$	$0$ $0$
$1$ $1$	$6$ $6$
$1$ $1$	$6$ $6$	$0$ $0$	$0$ $0$	$0$ $0$

Step 2

To find the number of decimal places needed in the answer, add the number of decimal places in the multiplier and multiplicand. In this case, there is a total of

1

$1$ , so the answer must have

1

$1$ decimal places as well.

1600

$1600$