RD Sharma Class 6 Solutions Chapter 9 - Ratio, Proportion and Unitary Method (Ex 9.4) Exercise 9.4 - Free PDF
FAQs on RD Sharma Class 6 Solutions Chapter 9 - Ratio, Proportion and Unitary Method (Ex 9.4) Exercise 9.4
1. What is the fundamental principle of the unitary method used in RD Sharma Class 6 Maths Chapter 9?
The fundamental principle of the unitary method involves a two-step process. First, you calculate the value of a single unit from the given value of multiple units (usually by division). Second, you use the value of that single unit to find the value of the required number of units (usually by multiplication). This method simplifies complex problems into manageable steps.
2. How do you solve problems in Exercise 9.4 that ask for the value of 'more' after giving the value for 'less'?
To solve these problems, you follow these steps:
- Step 1: Identify the given number of units and their total value.
- Step 2: Calculate the value of one unit by dividing the total value by the number of units.
- Step 3: Multiply the value of one unit by the required (larger) number of units to get the final answer.
3. What is a common mistake to avoid when solving questions from Exercise 9.4?
A common mistake is confusing the operations of multiplication and division. Students sometimes multiply when they should divide to find the value of a single unit, or vice-versa. To avoid this, always remember the first step is to find the value of 'one' by dividing the total value by the given number of items.
4. How does the unitary method help in solving real-world problems?
The unitary method is extremely useful in everyday situations. For instance, you can use it to:
- Calculate the total cost of multiple items if you know the price of a few.
- Estimate the distance a car can travel on a certain amount of fuel, based on its mileage.
- Determine how long it will take to complete a task based on the rate of work.
5. Why is finding the value of a 'single unit' the most critical step in the unitary method?
Finding the value of a single unit is critical because it establishes a base rate or standard. This single unit value acts as a bridge between the information you have and the information you need. Once you know the value of 'one', you can easily scale it up (by multiplying) or down to find the value for any other quantity, making it the core of this problem-solving technique.
6. How does the unitary method relate to the concept of direct proportion?
The unitary method is a practical application of direct proportion. In direct proportion, two quantities increase or decrease together at the same rate. When we use the unitary method, for example, to find the cost of more items, we are assuming that the cost is directly proportional to the number of items. Calculating the value of 'one unit' is essentially finding the 'constant of proportionality'.
7. Are the RD Sharma solutions for Exercise 9.4 effective for Class 6 exam preparation?
Yes, the step-by-step solutions for RD Sharma Exercise 9.4 are highly effective for exam preparation. They focus on teaching the correct methodology for applying the unitary method, which is essential for scoring well. By practising with these solutions, students can build confidence and understand how to approach any similar problem they might encounter in their exams.
