Step by Step Method to Convert Paise into Rupees with Formula and Examples
In ancient times, people traded using gold and silver before there was anything known as money or currency. The word rupee, also called rupaya, rupaye or rupiya is derived from a Sanskrit word that means Silver Coin. The rupee is denoted as ‘INR,’ an abbreviated form of ‘Indian Rupee.’ Rupees are made up of 100 paise. These 100 paise in each rupee are used as 100 parts of a fraction or decimal. There are many ways to represent this distinction and convert it from one to another.
Representation of Money
Indian Currency, the rupee, has many forms of representation. It can be denoted as ‘INR,’ the Indian rupee or with the symbol of rupees ₹. When the symbol of rupee ₹ cannot be used, one can use the abbreviated form of rupees, that is, ‘Rs.’ Rupees are divided into one hundred paise that can be represented in decimal forms.
Representation of 100 paise makes 1 rupee
Use of Decimal to Represent Money
Any currency can be represented using decimals since they are all multiples of 100.
Like, $1 = 100 cents
Similarly, ₹1 = 100 paise
∴ 1 paisa = ₹\[0.01\]
How to Use Decimals to Represent Money?
If one wants to describe the money they have in rupees and paise, they must not say they have ‘x’ rupees and ‘y’ paise.
Decimals come in handy in such situations.
Solved Examples of Using Decimals to Represent Money:
Q1. How to write ₹15 and 25 Paise?
Ans. ₹15.25
Q2. How to write ₹45 and 67 Paise?
Ans. ₹45.67
Q3. How much is ₹34.89?
Ans. ₹34 and 89 Paise
How to Convert Paise Into Rupee Using Decimals?
To convert paise into rupees or vice versa, one must be familiar with the conversion number line. Moving two places to the right makes the unit smaller and increases the face value by 100 folds simultaneously. Similarly, moving two places to the left makes the unit bigger but reduces the face value 100 times.
For Example,
₹100.0 = 10000 paise.
Here, the face value of the number increased from 100 to 10000, whereas the unit became smaller, from rupees to paise.
Similarly,
1000 paise = ₹ 10.00.
Here, the face value of the number decreased, whereas the unit's value increased.
Therefore, to convert paise into rupees, one must remember to move two decimal places to the left, which can also be seen as multiplying the number by 100.
∴ Rupees x 100 = Paise & $\frac{Paise}{100}$= Rupees
Solved Examples of Converting Paise Into Rupees
Q1. How to write ₹25 and 250 Paise?
Ans. 1 rupee = 100 paise
∴ 250 paise can be divided into 2 rupees and 50 paise
∴ We have $25+2$rupees and 50 paise
∴ We can say we have ₹27.50
Q2. How many rupees is 50000 paise?
Ans. $\frac{Paise}{100}$= Rupees
∴ $\frac{50000}{100}$= ₹500
Q3. Convert ₹ 34.78 into paise
Ans. $34.78\times 100=3478$paise
FAQs on Converting Paise to Rupees Using Decimal Method
1. How do you convert paise into rupees using decimal?
To convert paise into rupees using decimal, divide the number of paise by 100. Since 100 paise = 1 rupee, you move the decimal point two places to the left.
- Write the number of paise.
- Divide by 100 or shift the decimal two places left.
- Write the answer in rupees (₹).
2. What is the formula to convert paise to rupees?
The formula to convert paise into rupees is Rupees = Paise ÷ 100. This works because one rupee equals 100 paise.
- If paise = 75, then rupees = 75 ÷ 100 = 0.75.
- If paise = 500, then rupees = 500 ÷ 100 = 5.00.
3. Why do we divide by 100 to convert paise into rupees?
We divide by 100 because 1 rupee = 100 paise. Division by 100 changes paise into its equivalent value in rupees.
- 100 paise ÷ 100 = 1 rupee
- 50 paise ÷ 100 = 0.50 rupee
4. How do you write paise in decimal form?
Paise is written in decimal form by expressing it as a part of a rupee using two decimal places. Since 1 rupee has 100 paise, the digits after the decimal represent paise.
- 25 paise = 0.25
- 5 paise = 0.05
- 90 paise = 0.90
5. Can you give an example of converting paise to rupees?
Yes, to convert 345 paise into rupees, divide 345 by 100 to get ₹3.45.
- Step 1: Take 345 paise.
- Step 2: Divide by 100.
- Step 3: 345 ÷ 100 = 3.45.
6. How do you convert rupees back into paise?
To convert rupees into paise, multiply the number of rupees by 100. This reverses the decimal conversion process.
- ₹2.50 × 100 = 250 paise
- ₹0.75 × 100 = 75 paise
7. What is 75 paise in rupees using decimal?
75 paise in rupees is ₹0.75. Since 75 ÷ 100 = 0.75, we place 75 in the hundredths place.
- Write 75.
- Divide by 100.
- Result = 0.75 rupees.
8. What is 5 paise in rupees?
5 paise in rupees is ₹0.05. Because 5 ÷ 100 = 0.05, we write two digits after the decimal point.
- Add a zero before 5 to make 05.
- Place it after the decimal.
9. What are common mistakes when converting paise into rupees?
A common mistake when converting paise into rupees is not placing the decimal point correctly after dividing by 100.
- Forgetting that 1 rupee = 100 paise.
- Writing 50 paise as 0.5 instead of 0.50 (both equal but 0.50 shows money format).
- Not adding a zero for single-digit paise (5 paise = 0.05).
10. How does place value help in converting paise to rupees?
Place value helps convert paise to rupees by shifting digits two places left because we divide by 100. In decimal form:
- The first digit after the decimal is the tenths place.
- The second digit is the hundredths place (paise).
