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L17 : Questions - Rational Numbers , Maths, Class 7 Video Lecture

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FAQs on L17 : Questions - Rational Numbers , Maths, Class 7 Video Lecture

1. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form of p/q, where p and q are integers and q is not equal to zero.
2. How can we identify if a number is rational?
Ans. To identify if a number is rational, we need to check if it can be written as a fraction or a ratio of two integers. If it can be expressed in the form of p/q, where p and q are integers and q is not equal to zero, then the number is rational.
3. Can all decimal numbers be rational?
Ans. No, not all decimal numbers are rational. Decimal numbers can be classified into two categories: terminating and non-terminating. Terminating decimals can always be written as a fraction and are therefore rational. However, non-terminating decimals that do not repeat indefinitely, like pi (π) or the square root of 2 (√2), cannot be expressed as a fraction and are considered irrational.
4. How do rational numbers and irrational numbers differ?
Ans. Rational numbers can be expressed as fractions or ratios of two integers, while irrational numbers cannot be written as fractions and have non-repeating decimal representations. Rational numbers can be finite or repeating decimals, while irrational numbers are non-terminating and non-repeating decimals.
5. Can rational numbers be negative?
Ans. Yes, rational numbers can be negative. A rational number can be positive, negative, or zero. It is the property of being expressible as a fraction that defines a number as rational, regardless of its sign.
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