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Distributive Property of Rational Numbers - 3 Video Lecture - Class 8
FAQs on Distributive Property of Rational Numbers - 3 Video Lecture - Class 8
| 1. What is the distributive property of rational numbers? |  |
Ans. The distributive property of rational numbers states that when we multiply a rational number by the sum or difference of two other rational numbers, we can distribute the multiplication to each term inside the parentheses. This can be represented as a(b + c) = ab + ac, where a, b, and c are rational numbers.
| 2. How is the distributive property applied to rational numbers? | |
Ans. To apply the distributive property to rational numbers, we multiply the rational number outside the parentheses with each term inside the parentheses and then add or subtract the products. For example, if we have 2(3/4 + 1/2), we can distribute the 2 to each term inside the parentheses: 2 * 3/4 + 2 * 1/2. Then we simplify each product and add or subtract the results.
| 3. Can the distributive property be applied to any type of numbers, or only rational numbers? | |
Ans. The distributive property can be applied to any type of numbers, not just rational numbers. It is a fundamental property of arithmetic that holds true for real numbers, integers, fractions, decimals, and even complex numbers. The distributive property allows us to simplify expressions and perform calculations efficiently.
| 4. Are there any exceptions or limitations to the distributive property of rational numbers? | |
Ans. No, there are no exceptions or limitations to the distributive property of rational numbers. It is a universal property that applies to all rational numbers. However, it is important to note that the distributive property only applies to multiplication and addition or subtraction. It cannot be used with other operations such as division or exponentiation.
| 5. How does the distributive property help us in solving equations involving rational numbers? | |
Ans. The distributive property is a powerful tool in solving equations involving rational numbers. It allows us to simplify expressions by distributing multiplication and then combine like terms. By applying the distributive property, we can transform complex equations into simpler forms, making them easier to solve. It helps in simplifying calculations and finding solutions efficiently.
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Dec 18, 2024 Last updated |
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