Question

Express as rupees using decimals.
A.5 paise
B.75 paise
C.20 paise
D.50 rupees 90 paise
E.725 paise

Answer 1

Hint: In this question, we need to convert the paise to rupee and express the same in the decimal equivalent to rupees. For this, we will use the relation between the rupee and paise, which is given as $rupee = \dfrac{{paise}}{{100}}$.

Complete step-by-step answer:
A combination of 100 paise will result in a rupee. So, to convert paise to rupee, we have to divide the absolute value of the paise by 100.

(a) 5 paise
Divide 5 by hundred to get the equivalent in rupees.
$
  5{\text{ paise}} = \dfrac{5}{{100}}{\text{ rupees}} \\
   = 0.05{\text{ rupees}} \\
 $
Hence, the 5 paise is equivalent to rupees in decimals as 0.05 rupees.

(b) 75 paise
Divide 75 by hundred to get the equivalent in rupees.
$
  75{\text{ paise}} = \dfrac{{75}}{{100}}{\text{ rupees}} \\
   = 0.75{\text{ rupees}} \\
 $
Hence, the 75 paise is equivalent to rupees in decimals as 0.75 rupees.

(c) 20 paise
Divide 20 by hundred to get the equivalent in rupees.
$
  {\text{20 paise}} = \dfrac{{20}}{{100}}{\text{ rupees}} \\
   = 0.2{\text{ rupees}} \\
 $
Hence, the 20 paise is equivalent to rupees in decimals as 0.2 rupees.

(d) 50 rupees 90 paise
Here, we can see that two terms have been given, which are 50 rupees and 90 paise. We need to convert 90 paise to rupees first and then add the decimal with 50 rupees so as to the equivalent of 50 rupees 90 paise to rupees.
Divide 90 by hundred to get the equivalent in rupees.
$
  {\text{90 paise}} = \dfrac{{90}}{{100}}{\text{ rupees}} \\
   = 0.9{\text{ rupees}} \\
 $
Hence, the 90 paise is equivalent to rupees in decimals as 0.9 rupees.
Now, add 50 with 0.9 so as to determine the resultant of 50 rupees 90 paise in rupees equivalent.
\[
  50{\text{ rupees }}90{\text{ paise}} = \left( {50 + 0.9} \right){\text{ rupees}} \\
   = 50.9{\text{ rupees}} \\
 \]
Hence, the 50 rupees 90 paise is equivalent to rupees in decimals as 5.9 rupees.

(e) 725 paise
Divide 725 by hundred to get the equivalent in rupees.
$
  {\text{725 paise}} = \dfrac{{725}}{{100}}{\text{ rupees}} \\
   = 7.25{\text{ rupees}} \\
 $
Hence, the 725 paise is equivalent to rupees in decimals as 7.25 rupees.

Note: Students must know the conversion methods between the different units. Whenever a lower measuring unit is being converted to a higher measuring unit then, the absolute value will always decrease, whereas when a higher measuring unit is being converted to a lower measuring unit then, the absolute value will always increase.