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Distributive Property of Rational Numbers - 2 Video Lecture - Class 8

FAQs on Distributive Property of Rational Numbers - 2 Video Lecture - Class 8

1. What is the distributive property of rational numbers?

Ans. The distributive property of rational numbers states that for any rational numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c. In mathematical form, it can be written as a × (b + c) = (a × b) + (a × c).

2. How is the distributive property used with rational numbers?

Ans. The distributive property is used to simplify expressions involving rational numbers by expanding them. By applying the distributive property, we can break down an expression into simpler terms and then combine like terms to find the final result.

3. Can you give an example of the distributive property with rational numbers?

Ans. Certainly! Let's consider the expression 2 × (3/5 + 7/10). By applying the distributive property, we can expand it as 2 × 3/5 + 2 × 7/10. Simplifying further, we get 6/5 + 14/10. To add these fractions, we need to find a common denominator, which is 10. Thus, the expression simplifies to 12/10 + 14/10 = 26/10 = 13/5.

4. Is the distributive property applicable to all types of numbers?

Ans. Yes, the distributive property is applicable to all types of numbers, including rational numbers. It is a fundamental property of arithmetic that holds true for real numbers, integers, fractions, decimals, and even complex numbers.

5. How does the distributive property help in solving equations involving rational numbers?

Ans. The distributive property is a useful tool in solving equations involving rational numbers as it allows us to simplify expressions and isolate variables. By applying the distributive property, we can expand and rearrange terms in an equation, making it easier to solve for the unknown variable.

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Sep 23, 2025 Last updated

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