Question

Using place value chart, find $0.57\times 0.1$.

• A.

  Ones	$.$	Tenths	Hundredths	Thousandths
  $0$	$.$	$0$	$0$	$5$

• B.

  Ones	$.$	Tenths	Hundredths	Thousandths
  $0$	$.$	$5$	$7$	$0$

• C.

  Ones	$.$	Tenths	Hundredths	Thousandths
  $0$	$.$	$0$	$5$	$7$

• D.

  Ones	$.$	Tenths	Hundredths	Thousandths
  $5$	$.$	$7$	$0$	$0$

Answer 1

The correct option is C

Ones	$.$	Tenths	Hundredths	Thousandths
$0$	$.$	$0$	$5$	$7$

$0.57$ can be represented in the place value chart as:

Ones	$.$	Tenths	Hundredths	Thousandths	Ten thousandths
$0$	$.$	$5$	$7$	$0$	$0$
The product of a number and 1 is the number itself, and when multiplying two decimal numbers the number of decimal places of both the numbers is added in the product. On multiplying with 0.1, we shift all the numbers to the right by $1$ place. so the place value chart showing the product:
$0$	$.$	$0$	$5$	$7$	$0$