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Integers Test - 2

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Integers Test - 2
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  • Question 1
    1 / -0

    What is the additive inverse of 6?

    Solution

    Additive inverse is a number when added to any number, results in zero.
    Every number has a number with same value but opposite sign. This number is additive inverse.
    So, additive inverse of 6 is – 6
    because: 6 + (– 6) = 6 – 6 = 0

     

  • Question 2
    1 / -0

    What is the sum of – a, – a, + 1, and 0?

    Solution

     

    Sum of – a, – a, + 1, 0
    = – a – a + 1 + 0
    = – 2a + 1 or 1 – 2a

     

  • Question 3
    1 / -0

    If we subtract – 18 from – 86, what is the result?

    Solution

    Subtract – 18 from – 86
    = – 86 – (– 18)
    = – 86 + 18 = – 68

     

  • Question 4
    1 / -0

    What should be added to – 4 to get – 12?

    Solution

    Let the number to be added be x.
    – 4 + x = – 12
    x = – 12 – (– 4)
    = – 12 + 4
    x = – 8
    Therefore – 8 should be added to – 4 to get – 12

     

  • Question 5
    1 / -0

    Which of the following expressions is true?

    Solution

    (i) (– 5) – (– 4) = (– 4) – (– 5)

    – 5 + 4 = (– 4) + 5

    – 1 ≠ 1 (False)

    (ii) (– 5) – (– 4) > (– 4) – (– 5)

    – 5 + 4 > – 4 + 5

    – 1 > 1 (False)

    (iii) (– 5) – (– 4) < (– 4) – (– 5)

    – 1 < 1 (True)

    (iv) (– 5) – (– 4) = 0 = (– 4) – (– 5)

    – 1 ≠ 0 ≠ 1 (False)

     

  • Question 6
    1 / -0

    The number 2 subtracted from the number 7 gives

    Solution

    7 – 2 = 5

     

  • Question 7
    1 / -0

    The smallest integer in the number system is

    Solution

    As the number system is countless, so we cannot write the smallest integer.

     

  • Question 8
    1 / -0

    Which of the following statements is true?

  • Question 9
    1 / -0

    On the number line, which of the following numbers is not to the left of – 10?

    Solution

    On the number line, – 9 is to the right of – 10.

     

  • Question 10
    1 / -0

    How many integers are there between – 2 and 2?

    Solution

    Integers between – 2 and 2 are:
    – 1, 0, 1
    So, 3 integers lie between – 2 and 2.

     

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