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Video The Distributive Property Video Lecture - (Maths) Class 8
FAQs on Video: The Distributive Property Video Lecture - Mathematics (Maths) Class 8
| 1. What is the distributive property in mathematics? |  |
Ans. The distributive property is a fundamental principle in mathematics that describes how to multiply a number by a sum or difference. It states that a(b + c) = ab + ac, meaning that you can distribute the multiplication across the terms inside the parentheses. This property is essential for simplifying expressions and solving equations.
| 2. How can the distributive property be applied to simplify expressions? | |
Ans. The distributive property can be used to simplify expressions by breaking down complex terms. For example, if you have 3(4 + 5), you can apply the distributive property: 3(4) + 3(5) = 12 + 15 = 27. This makes it easier to perform calculations and solve problems.
| 3. Can the distributive property be used with negative numbers? | |
Ans. Yes, the distributive property can be applied to negative numbers as well. For instance, if you have -2(3 - 4), you can distribute the -2: -2(3) + -2(-4) = -6 + 8 = 2. This shows that the property is valid regardless of whether the numbers are positive or negative.
| 4. What are some real-life applications of the distributive property? | |
Ans. The distributive property has various real-life applications. For example, in budgeting, if you want to calculate the total cost of multiple items, you can use the property to simplify calculations. If each item costs $5 and you are buying 3 of item A and 4 of item B, you can calculate the total as 5(3 + 4) = 5 × 7 = $35, making it easier to manage expenses.
| 5. How does understanding the distributive property help in solving equations? | |
Ans. Understanding the distributive property is crucial for solving equations because it allows you to simplify expressions and isolate variables. For example, in the equation 2(x + 3) = 14, applying the distributive property helps you rewrite it as 2x + 6 = 14. This makes it easier to solve for x by first subtracting 6 from both sides and then dividing by 2.
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Feb 16, 2026 Last updated
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