Question

Write the following decimals in the place value table.
\[\begin{align}
  & \text{(a) 19}\text{.4} \\
 & \text{(b) 0}\text{.3} \\
 & \text{(c) 10}\text{.6} \\
 & \text{(d) 205}\text{.9} \\
\end{align}\]

Answer 1

Hint: Place value of a digit is the value of the digit at the given position or place in the given numeral. So you can find the solution by converting the numeral in expanded form.

Complete step-by-step solution:
Place value table:

$\text{S.no.}$	$\text{Hundreds}$	$\text{Tens}$	$\text{Ones}$	$\text{Decimal point}$	$\text{Tenths}$
(a)	-	1	9	.	4
(b)	-		0	.	3
(c)	-	1	0	.	6
(d)	2	0	5	.	9

Now, the following will show you the more about place value.
(a) 19.4
Now first, we will convert this numeral in expanded form.
\[19.4=\,1\times 10+9\times 1+4\times \dfrac{1}{10}\]
Then, the place value of the required digit is the term we get in the expanded form associated with that digit.
\[\Rightarrow \] Place value of 1 is : 10
\[\Rightarrow \]Place value of 9 is : 9
\[\Rightarrow \] Place value of 4 is : \[\dfrac{4}{10}\]

(b) 0.3
Now first, we will convert this numeral in expanded form.
\[0.3=\,0\times 1+\,3\times \dfrac{1}{10}\]
Then, the place value of the required digit is the term we get in the expanded form associated with that digit.
\[\Rightarrow \] Place value of 0 is : 0
\[\Rightarrow \] Place value of 3 is : \[\dfrac{3}{10}\]

(c) 10.6
Now first, we will convert this numeral in expanded form.
\[10.6=\,1\times 10+0\times 1+6\times \dfrac{1}{10}\]
Then, the place value of the required digit is the term we get in the expanded form associated with that digit.
\[\Rightarrow \] Place value of 1 is : 10
\[\Rightarrow \] Place value of 0 is : 0
\[\Rightarrow \] Place value of 6 is : \[\dfrac{6}{10}\]

(d) 205.9
Now first, we will convert this numeral in expanded form.
\[205.9=\,2\times 100+0\times 10+5\times 1+9\times \dfrac{1}{10}\]
Then, the place value of the required digit is the term we get in the expanded form associated with that digit.
\[\Rightarrow \] Place value of 2 is : 200
\[\Rightarrow \] Place value of 0 is : 0
\[\Rightarrow \] Place value of 5 is : 5
\[\Rightarrow \] Place value of 9 is : \[\dfrac{9}{10}\]

Note: The students might get confused about Face value and Place value . So, remember Place value is the value of the digit at that given place in the numeral and the face value is the value of the digit itself irrespective of the place or position in the numeral.