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Distributive Property of Rational Numbers - 1 Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7
FAQs on Distributive Property of Rational Numbers - 1 Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7
| 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 terms, 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 applying the distributive property, we can expand or simplify expressions by distributing a factor to each term within parentheses. This allows us to combine like terms and perform further calculations.
| 3. Can you provide an example of using the distributive property with rational numbers? | |
Ans. Sure! Let's consider the expression 2 × (3/4 + 1/2). By applying the distributive property, we can distribute the factor 2 to each term inside the parentheses:
2 × (3/4 + 1/2) = (2 × 3/4) + (2 × 1/2)
Simplifying further:
= 6/4 + 2/2
= 6/4 + 4/4
= 10/4
= 5/2
Therefore, 2 × (3/4 + 1/2) simplifies to 5/2.
| 4. What are the benefits of using the distributive property in calculations with rational numbers? | |
Ans. The distributive property allows us to simplify complex expressions, making calculations with rational numbers easier. It helps in combining like terms and performing addition or multiplication operations efficiently. Additionally, using the distributive property can help in solving equations and identifying patterns in mathematical equations or expressions.
| 5. Can the distributive property be used with variables and rational numbers together? | |
Ans. Yes, the distributive property can be used with variables and rational numbers together. The property holds true for any combination of rational numbers and variables. By distributing a factor to each term within parentheses, we can simplify expressions involving both rational numbers and variables. This is particularly useful in algebraic calculations and solving equations involving unknown variables.
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