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Exercise 9.1
Select the correct options from the following sentences:
(i) All natural numbers are integers.
(ii) An integer may not be a natural number.
(iii) If a number is rational then the number must be an integer.
(iv) There are infinite numbers of rational numbers between two integers.
(v) All fractions are integers.
(vi) All fractions are rational numbers.
(vii) 0 is a rational number.
(viii) Each integer is rational.
Write 3 equivalent rational numbers for the following fractions:
(i) -4/5
(ii) 2/-3
(iii) -7/21
(iv) 1/-9
(v) 40/64
Are the following pairs equal?
(i) 6/-26 and 1/-3
(ii) -3/13 and 7/-3
Replace x and y in such a way so that the equality exists:
(i) 9/-40 = -9/x
(ii) -5/35 = y/-70
Express in standard form:
(i) 5/-2
(ii) 25/-45
Which is smaller in each of the pair of the following rational numbers?
(i) -2/4 and -8/5
(ii) -7/4 and 7/14
(iii) -1/3 and -2/-3
(iv) 16/12 and -2/5
Write 5 rational numbers between the following pairs of numbers:
(i) -3/4 and 3/4
(ii) -3 and -2
(iii) 3/7 and 5/8
(iv) -2/5 and -2/3
Put the following rational numbers on a number line:
(i) 2/3
(ii) -4/7
(iii) 3/8
(iv) -2 3/5
(v) 3 4/9
A rational number lies to the right of 0. What is the rational number which lies to the left of 0 in the same distance? What will be the rational number which lies at the center of the two rational numbers?
(i) What will be the greatest integer among the integers which are smaller than 1/2? (ii) What will be the smallest integer among all the integers which are greater than 1/2?
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