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Operations on Real Numbers (Includes Identities,Rationalising) Video Lecture - Class 9
FAQs on Operations on Real Numbers (Includes Identities,Rationalising) Video Lecture - Class 9
| 1. What are the identities of operations on real numbers? |  |
Ans. The identities of operations on real numbers are as follows:
- Addition Identity: The identity for addition is 0. That is, for any real number a, a + 0 = a.
- Multiplication Identity: The identity for multiplication is 1. That is, for any real number a, a * 1 = a.
| 2. How do you rationalize a denominator? | |
Ans. Rationalizing a denominator involves eliminating any radical expressions (square roots, cube roots, etc.) from the denominator of a fraction. This is done by multiplying both the numerator and denominator of the fraction by a suitable expression that will eliminate the radicals. For example, if the denominator is √3, we can multiply both the numerator and denominator by √3 to rationalize the denominator.
| 3. What is the importance of operations on real numbers? | |
Ans. Operations on real numbers are fundamental in various mathematical concepts and applications. They allow us to perform calculations, solve equations, simplify expressions, and analyze mathematical relationships. Real numbers and their operations provide a solid foundation for more advanced mathematical concepts like algebra, calculus, and statistics.
| 4. How do you add and subtract real numbers? | |
Ans. To add or subtract real numbers, follow these steps:
- For addition, simply add the numbers together. For example, 3 + 5 = 8.
- For subtraction, subtract the second number from the first number. For example, 7 - 4 = 3. If there is a negative sign before a number, it indicates subtraction. For example, 2 - (-5) = 7.
| 5. How do you multiply and divide real numbers? | |
Ans. To multiply or divide real numbers, follow these steps:
- For multiplication, multiply the numbers together. For example, 4 * 6 = 24.
- For division, divide the first number by the second number. For example, 12 ÷ 3 = 4. If there is a fraction involved, invert the second number and multiply. For example, 8 ÷ (2/3) = 8 * (3/2) = 12.
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