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Unravelling Rational Numbers Video Lecture | Mathematics (Maths) Class 8

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FAQs on Unravelling 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. They can be positive, negative, or zero, and they include numbers like 1/2, -3/4, and 5/1.
2. How do rational numbers differ from irrational numbers?
Ans. Rational numbers can be written as fractions, whereas irrational numbers cannot be expressed as fractions. Irrational numbers are non-repeating and non-terminating decimals, such as √2 or π. In contrast, rational numbers can be represented by terminating or repeating decimals.
3. How can I determine if a number is rational?
Ans. To determine if a number is rational, we can check if it can be expressed as a fraction. If the number can be written in the form of p/q, where p and q are integers and q is not zero, then it is rational. For example, the number 0.75 can be expressed as 3/4, so it is rational.
4. What operations can be performed with rational numbers?
Ans. Rational numbers can be added, subtracted, multiplied, and divided just like whole numbers or decimals. The operations follow the same rules of arithmetic. For example, to add two rational numbers, we add their numerators and keep the denominator the same.
5. Are all integers also rational numbers?
Ans. Yes, all integers are rational numbers. Integers can be expressed as fractions with a denominator of 1. For example, the integer 5 can be written as 5/1, which is a fraction and therefore a rational number.
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