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Understanding the Basics: Rational Numbers Video Lecture | Mathematics (Maths) Class 8
FAQs on Understanding the Basics: Rational Numbers Video Lecture - Mathematics (Maths) Class 8
| 1. What are rational numbers? |  |
Ans. Rational numbers are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. These numbers can be positive, negative, or zero. Examples of rational numbers include 1/2, -3/4, and 5/1.
| 2. How do you identify if a number is rational or not? | |
Ans. To identify if a number is rational or not, we need to check if it can be expressed as a fraction. If a number can be written in the form of a/b, where a and b are integers, and b is not equal to zero, then the number is rational. If the number cannot be expressed in this form, then it is not a rational number.
| 3. Can all decimal numbers be rational? | |
Ans. No, not all decimal numbers are rational. Decimal numbers can either be terminating or non-terminating. If a decimal number terminates or repeats after a certain point, it can be expressed as a rational number. However, if a decimal number is non-terminating and non-repeating, also known as an irrational number, it cannot be expressed as a fraction and is not a rational number.
| 4. How can rational numbers be represented on a number line? | |
Ans. Rational numbers can be represented on a number line by assigning a position to each number. The number line is divided into equal intervals, and each rational number is placed at a specific point on the line. The position of a rational number on the number line depends on its magnitude and sign. Numbers to the right of zero are positive, numbers to the left are negative, and zero is placed at the center.
| 5. What operations can be performed on rational numbers? | |
Ans. Various operations can be performed on rational numbers, including addition, subtraction, multiplication, and division. When adding or subtracting rational numbers, we need to find a common denominator and then combine the numerators. For multiplication and division, we multiply or divide the numerators and denominators respectively. These operations follow the same rules as fractions.
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