1. Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0. Video explanation of Exercise 1.1

    Yes, zero is a rational number. It can be written in the form of p/q. For example: 0/1, 0/2, 0/5 are rational numbers, where p and q are integers and q ≠ 0.

    Video explanation of Exercise 1.1

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  2. First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7. Here, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7 So, the six rational can be obtained by changing numerator from 22 to 27. Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 SecondRead more

    First Method: To get six rational number between 3 and 4, the denominator must be 6 + 1 = 7.
    Here, 3 = (3 × 7)/7 = 21/7 = and 4 = (4 × 7)/7 = 28/7
    So, the six rational can be obtained by changing numerator from 22 to 27.
    Therefore, the rational numbers are: 22/7, 23/7, 24/7, 25/7, 26/7, 27/7
    Second Method: six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6

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  3. By converting these numbers into decimal, we have 3/5 = 0.6 and 4/5 = 0.8 Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.

    By converting these numbers into decimal, we have
    3/5 = 0.6 and 4/5 = 0.8
    Hence, five rational numbers between 3/4 and 4/5 are 0.61, 0.62, 0.63, 0.64 and 0.65.

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  4. (i) True, as whole number is the collection of Natural numbers and 0. (ii) False, because negative integers are not whole numbers. (iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.

    (i) True, as whole number is the collection of Natural numbers and 0.
    (ii) False, because negative integers are not whole numbers.
    (iii) False, rational numbers like 3/5, 2/3, 7/9 are not the whole numbers.

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  5. (i) True, as the collection of all rational and irrational number is real numbers. (ii) False, there are infinite number on number line between √2 and √3 that can't be represented as √m, m being a natural number. (iii) False, because real numbers can be rational also.

    (i) True, as the collection of all rational and irrational number is real numbers.
    (ii) False, there are infinite number on number line between √2 and √3 that can’t be represented as √m, m being a natural number.
    (iii) False, because real numbers can be rational also.

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