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Rational Numbers Test - 20

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Rational Numbers Test - 20
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  • Question 1
    1 / -0
    Check if the following rational numbers are equivalent:
    Solution
    84÷1236÷12\frac{84\div12}{36\div12} = 73\frac{7}{3}
  • Question 2
    1 / -0
    which of the following is the insertion of three fractions in between 712\frac{7}{{12}} and 910\frac{9}{{10}}  ?
    Solution

  • Question 3
    1 / -0
    Add the following rational numbers:
    57\dfrac{-5}{7} and 37\dfrac{3}{7}
    Solution
    57\dfrac{-5}{7} and 37=57+37=5+37=27\dfrac{3}{7} =\dfrac{-5}{7} + \dfrac{3}{7} = \dfrac{-5+3}{7} = \dfrac{-2}{7}
  • Question 4
    1 / -0
    Which of the following rational numbers is positive?
    Solution
    34= 34\Rightarrow \dfrac{-3}{-4}= \dfrac{3}{4}
    The numerator and denominator both are negative, it will cancel out each other and gives a positive rational number.
  • Question 5
    1 / -0
    The two consecutive integers between which the fraction 57 \frac{5}{7} lies are
    Solution
    Fundamental of fraction , when value of a numerator of a fraction is less than the value of denominator,always lies between 0 0 and 1 1
    Therefore, 57 \dfrac {5}{7} are lies between 0 0 and 1 1 .
  • Question 6
    1 / -0
    Which of the following rational numbers is negative?
    Solution
    (a)(37)=37(a) \Rightarrow -\left(\dfrac{-3}{7}\right)=\dfrac{3}{7}

    (b)58=58(b) \Rightarrow \dfrac{-5}{-8}=\dfrac{5}{8}

    (c)98=98(c) \Rightarrow \dfrac{9}{8}=\dfrac{9}{8}

    (d)37=37(d) \Rightarrow \dfrac{3}{-7}=-\dfrac{3}{7}

    37\therefore -\dfrac{3}{7} is a negative rational number.
  • Question 7
    1 / -0
    The reciprocal of 12\dfrac{1}{2} is 
    Solution
    Reciprocal of Reciprocal of 12\dfrac{1}{2}
    =112=2=\dfrac{1}{\dfrac{1}{2}}=2
  • Question 8
    1 / -0
    The reciprocal of 11 is
    Solution

  • Question 9
    1 / -0
    The reciprocal of 1-1 is
    Solution

  • Question 10
    1 / -0
    A number of the form pq\dfrac{p}{q} is said to be a rational number if
    Solution

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