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Video: What is Proportion? Video Lecture | Mathematics Class 8- New NCERT (Ganita Prakash)

FAQs on Video: What is Proportion? Video Lecture - Mathematics Class 8- New NCERT (Ganita Prakash)

1. What is the definition of proportion?
Ans. Proportion is a mathematical concept that describes the relationship between two ratios or fractions. It states that two ratios are equivalent if they represent the same relationship. For example, if a/b = c/d, then a, b, c, and d are in proportion.
2. How do you solve problems involving proportions?
Ans. To solve problems involving proportions, you can use cross-multiplication. If you have a proportion like a/b = c/d, you can cross-multiply to find the unknown value. This means you multiply a by d and b by c, setting the two products equal to each other (a × d = b × c).
3. Can you provide real-life examples of proportions?
Ans. Yes, proportions are commonly found in real-life situations. For instance, if a recipe for 4 servings requires 2 cups of flour, then to make 8 servings, you would need 4 cups of flour, maintaining the same ratio. Another example is in maps, where a scale of 1:100,000 means 1 unit on the map represents 100,000 units in reality.
4. What are the different types of proportions?
Ans. There are mainly two types of proportions: direct proportion and inverse proportion. In direct proportion, as one quantity increases, the other also increases (e.g., distance and time at a constant speed). In inverse proportion, as one quantity increases, the other decreases (e.g., speed and travel time with a fixed distance).
5. Why is understanding proportions important in mathematics?
Ans. Understanding proportions is crucial in mathematics because they are foundational for many concepts, including ratios, percentages, and scaling. Proportions help in solving real-world problems, making comparisons, and analyzing relationships, which are essential skills in various fields such as science, finance, and engineering.
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