RS Aggarwal Solutions Class 7 Chapter-9 Unitary Method (Ex 9C) Exercise 9.3 - Free PDF
FAQs on RS Aggarwal Solutions Class 7 Chapter-9 Unitary Method (Ex 9C) Exercise 9.3
1. What is the fundamental principle of the Unitary Method as applied in RS Aggarwal Class 7, Chapter 9?
The fundamental principle of the unitary method is to first determine the value of a single unit from the given value of multiple units. Once the value of this single unit is known, you can then calculate the value of the required number of units by simple multiplication. This two-step process simplifies problems involving ratio and proportion.
2. How do I solve a word problem from RS Aggarwal Class 7, Exercise 9.3, step-by-step?
To solve a word problem from Exercise 9.3, follow these steps:
- Step 1: Carefully read the problem to identify the two quantities being compared (e.g., number of workers and time taken).
- Step 2: Determine the relationship between them. Is it direct proportion (if one increases, the other increases) or inverse proportion (if one increases, the other decreases)?
- Step 3: Use the given information to calculate the value of a single unit.
- Step 4: Use the single unit's value to calculate the final answer for the required number of units.
3. How can I identify whether to use direct or inverse variation for a problem in Exercise 9.3?
To identify the type of variation, ask yourself what happens to one quantity when the other changes.
- If more of one quantity means more of the other (e.g., more books cost more money), it is direct proportion.
- If more of one quantity means less of the other (e.g., more workers take less time to finish a job), it is inverse proportion.
4. What is a common mistake students make in Unitary Method problems involving inverse proportion?
A common mistake in inverse proportion problems is to incorrectly multiply when one should divide, or vice versa. For example, if 10 workers take 20 days, students might incorrectly calculate that 1 worker takes 2 days (20/10). The correct logic is that 1 worker would take more time, so you must multiply: 1 worker takes 20 x 10 = 200 days. Always double-check if your answer makes logical sense.
5. Why is finding the value of a 'single unit' so important in this method?
Finding the value of a single unit (like the cost of 1 item or the distance covered in 1 hour) acts as a standard reference point or a baseline. This baseline simplifies the problem by allowing you to easily scale the value up or down. Instead of dealing with complex ratios, you perform a simple multiplication to find the value for any desired quantity, making it a reliable and easy-to-follow method.
6. How is the Unitary Method from Chapter 9 related to the broader topic of Ratios and Proportions?
The Unitary Method is a practical application of the concept of ratios and proportions. When you have two quantities in a direct or inverse proportion, you are essentially working with equivalent ratios. The process of finding the value of one unit is a way to find the constant of proportionality, which can then be used to solve for any unknown value in that proportional relationship.
7. How can using the RS Aggarwal solutions for Exercise 9.3 improve my problem-solving skills?
Vedantu's solutions for RS Aggarwal Exercise 9.3 provide a detailed, step-by-step guide for each problem. By studying these solutions, you can:
- Understand the correct method for setting up and solving both direct and inverse proportion problems.
- Learn how to present your answers clearly and logically, which is important for scoring well in exams.
- Verify your own answers and identify specific steps where you might be making errors, helping you strengthen your conceptual understanding.
