Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Indian currency system is based on Rupees () and Paise (). Imagine Rupee as a complete whole and Paise as small parts that fit into it. The symbol is always placed before the number, while is written after.
The basic conversion factor is . This relationship is the foundation for all money-related calculations in Grade 4 math.
Money is often written in decimal form where a dot () separates the Rupees from the Paise. For example, in , the digits to the left of the dot () are Rupees and the two digits to the right () are Paise. You can visualize the dot as a wall separating the bigger units from the smaller ones.
To convert Rupees into Paise, we multiply the amount by . Visually, if the amount is in decimals, you move the decimal point two places to the right and remove the symbol. Example: becomes .
To convert Paise into Rupees, we divide the amount by . A quick visual trick is to count two digits from the right side of the paise number and insert a decimal point. For example, becomes .
The 'Two-Digit Rule' is essential for writing paise. Since paise make a rupee, the paise part must always occupy two decimal places. If you have paise, it must be written as (with a placeholder zero) to show it is less than paise.
When converting an amount that has both rupees and paise into total paise, you convert the rupees first and then add the remaining paise. For example, and paise is .
📐Formulae
💡Examples
Problem 1:
Convert into paise.
Solution:
- Use the conversion formula: .
- Multiply: .
- The answer is .
Explanation:
To convert from the larger unit (Rupees) to the smaller unit (Paise), we multiply by . In decimals, this simply shifts the decimal point two places to the right, effectively removing it.
Problem 2:
Convert paise into Rupees using the decimal point.
Solution:
- Use the conversion formula: .
- Divide: .
- Add the symbol: .
Explanation:
To convert the smaller unit to the larger unit, we divide by . By placing the decimal point two digits from the right, we separate the Rupees from the Paise.