Operations on Integers

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  • Q1

    The product of a positive integer and a negative integer is

    Marks:1
    Answer:

    negative.

    Explanation:

    The product of a positive integer and a negative integer is always negative because 1 x -1 = -1.

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  • Q2

    If x 48 = -1, then the value of x is

    Marks:1
    Answer:

    -48.

    Explanation:

    x  48 = -1

    = -1,

    x = -148 = -48

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  • Q3

    (-105)(7) = ………

    Marks:1
    Answer:

    -15.

    Explanation:

    In general, for any two positive integers a and b, we have
           a(-b) = - (a) (b)

    Here, a = -105 and b = 7.
    On solving,

        (-105) (7) = -15

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  • Q4

    The value of (-1) (-5) (-4) (-7) is

    Marks:1
    Answer:

    140.

    Explanation:

    (-1) (-5) (-4) (-7) = [(-1) (-5)] [ (-4) (-7)]
    In general, for any integer a and b.
         (-a) (-b) = a b

    Therefore, the given expression can be evaluated as follows:
      [(-1) (-5)] [(-4) (-7)] = (1 5) (4 7)

                   = 5 28

                   = 140

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  • Q5

    Product of two integers is –48. If one of the integers is –6 then the other is

    Marks:1
    Answer:

    8.

    Explanation:

    Let the other integer be x.

    According to the question.

         x –6 = –48

    or,     x = –48 –6

    or,     x =  + 8

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