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Main points of Rational numbers ch -1 (Maths) class8 - Class 8

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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 can be written in the form a/b, where a and b are integers and b is not equal to zero.
2. How are rational numbers different from irrational numbers?
Ans. Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions and their decimal representations are non-terminating and non-repeating. Rational numbers can be precisely represented, whereas irrational numbers are approximate values.
3. How can we identify rational numbers?
Ans. To identify a rational number, we need to check if it can be expressed as a fraction. If it can be written in the form a/b, where a and b are integers and b is not equal to zero, then the number is rational. For example, 3/4, -2/5, and 0 are all rational numbers.
4. Are all integers rational numbers?
Ans. Yes, all integers are rational numbers. An integer can be expressed as itself divided by 1, which is a fraction. For example, the integer 5 can be written as 5/1, making it a rational number.
5. Can a decimal number be a rational number?
Ans. Yes, a decimal number can be a rational number if it can be expressed as a fraction. For example, the decimal number 0.75 can be written as 3/4, which is a fraction. However, if a decimal number is non-terminating and non-repeating, it is an irrational number and cannot be expressed as a fraction.
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