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Visual Worksheet: Distributive Property of Multiplication | Mathematics Class 8- New NCERT (Ganita Prakash) PDF Download

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FAQs on Visual Worksheet: Distributive Property of Multiplication - Mathematics Class 8- New NCERT (Ganita Prakash)

1. What is the distributive property of multiplication?
Ans. The distributive property of multiplication states that when you multiply a number by a sum, you can distribute the multiplication to each addend in the sum. In simpler terms, a(b + c) = ab + ac. This property helps simplify calculations and is fundamental in algebra.
2. How can the distributive property be applied in solving algebraic expressions?
Ans. The distributive property can be applied to algebraic expressions by breaking down complex expressions into simpler parts. For example, if you have 3(x + 4), you can use the distributive property to rewrite it as 3x + 12. This makes it easier to solve for x or perform further calculations.
3. Can you give an example of the distributive property with negative numbers?
Ans. Yes, the distributive property also applies to negative numbers. For example, if you have -2(3 + 5), you can distribute the -2 to both addends: -2 * 3 + -2 * 5, which simplifies to -6 - 10 = -16. This shows how the property works regardless of the signs involved.
4. What are some real-life applications of the distributive property?
Ans. The distributive property has various real-life applications, such as in budgeting, where you might need to calculate total costs for multiple items. For instance, if each item costs $5 and you buy (2 + 3) items, you can use the distributive property: 5(2 + 3) = 5 * 2 + 5 * 3 = $10 + $15 = $25 total.
5. Why is understanding the distributive property important in mathematics?
Ans. Understanding the distributive property is crucial because it serves as a foundation for more advanced mathematical concepts, including factoring, expanding polynomials, and solving equations. Mastery of this property allows students to simplify problems and develop strong algebraic skills, essential for higher-level math.
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