Question

Express as rupees using decimals: 63 rupees 9 paise.

Answer 1

Hint: Here, we need to express 63 rupees 9 paise in rupees using decimals. We will use a unitary method to find the value of 9 paise in rupees in decimals. Then, we will add it to 63 rupees to get the value of 63 rupees 9 paise in rupees in decimals.

Complete step-by-step answer:
First, we will convert 9 paise to rupees by unitary method.
We know that 1 rupee is equal to 100 paise.
Therefore, we get
100 paise \[ = \] 1 rupee
Now, dividing both sides by 100, we get
1 paise \[ = \dfrac{1}{{100}}\] rupees
This is the value of 1 paise in rupees.
The value of 9 paise in rupees is the product of the value of 1 paise in rupees, and the number of paise.
Therefore, we will multiply the equation to get the value of 9 paise in rupees.
Multiplying both sides by 9, we get
\[\left( {1 \times 9} \right)\]paise \[ = \left( {\dfrac{1}{{100}} \times 9} \right)\] rupees
Thus, we get
9 paise \[ = \dfrac{9}{{100}}\] rupees
The value \[\dfrac{9}{{100}}\] is in fractions. We will divide 9 by 100 to convert it to decimals.
Therefore, we get
\[\dfrac{9}{{100}} = 0.09\]
Hence, 9 paise \[ = 0.09\] rupees.
Now, the amount 63 rupees 9 paise can be written as the sum of 63 rupees and 9 paise.
Therefore, we get
63 rupees 9 paise \[ = \] 63 rupees \[ + \] 9 paise
Substituting 9 paise \[ = 0.09\] rupees, we get
\[ \Rightarrow \]63 rupees 9 paise \[ = \] 63 rupees \[ + {\rm{ }}0.09\] rupees
Since the units are the same, that is rupees, we can add the terms.
Adding 63 and \[0.09\], we get
63 rupees 9 paise \[ = 63.09\] rupees
Hence we have expressed 63 rupees 9 paise in rupees as \[63.09\] rupees using decimals.

Note: We have used a unitary method to solve the problem. Unitary method is a method where first the per unit quantity is calculated, and then the number of units are multiplied. Here, we calculated the value of paise per rupee and multiplied it by 9 to get the value of 9 paise in rupees.