Basic Math Examples

1.6 \cdot 70

$1.6 \cdot 70$

Step 1

Multiply using long multiplication.

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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

70

$70$ .


	$1$ $1$	. $6$ $6$
$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$

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

70

$70$ .


	$1$ $1$	. $6$ $6$
$\times$ $⨯$	$7$ $7$	$0$ $0$
	$0$ $0$	$0$ $0$

Step 1.3

Multiply

7

$7$ by

6

$6$ . Place the ones digit

(2)

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

(4)

$(4)$ . There is one result line for each digit in

70

$70$ .

	$4$ $4$
	$1$ $1$	. $6$ $6$
$\times$ $⨯$	$7$ $7$	$0$ $0$
	$0$ $0$	$0$ $0$
	$2$ $2$

Step 1.4

Multiply

7

$7$ by

1

$1$ and add the carried

4

$4$ . 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

70

$70$ .


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$

Step 1.5

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

0 + 0

$0 + 0$ , then place the

0

$0$ in the result line.


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$
			$0$ $0$

Step 1.6

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

0 + 2

$0 + 2$ , then place the

2

$2$ in the result line.


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$
		$2$ $2$	$0$ $0$

Step 1.7

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

0 + 1

$0 + 1$ , then place the

1

$1$ in the result line.


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$
	$1$ $1$	$2$ $2$	$0$ $0$

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.


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$
$1$ $1$	$1$ $1$	$2$ $2$	$0$ $0$


		$1$ $1$	. $6$ $6$
	$\times$ $⨯$	$7$ $7$	$0$ $0$
		$0$ $0$	$0$ $0$
$1$ $1$	$1$ $1$	$2$ $2$
$1$ $1$	$1$ $1$	$2$ $2$	$0$ $0$

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.

112

$112$